The infrared regime of SU(2) with one adjoint Dirac Fermion Ed - - PowerPoint PPT Presentation

the infrared regime of su 2 with one adjoint dirac fermion
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The infrared regime of SU(2) with one adjoint Dirac Fermion Ed - - PowerPoint PPT Presentation

The infrared regime of SU(2) with one adjoint Dirac Fermion Ed Bennett with Andreas Athenodorou, Georg Bergner, and Biagio Lucini Outline Introduction Motivation and background Chiral symmetry breaking Aims and predictions Results Phase


slide-1
SLIDE 1

The infrared regime of SU(2) with one adjoint Dirac Fermion

Ed Bennett

with Andreas Athenodorou, Georg Bergner, and Biagio Lucini

slide-2
SLIDE 2

Outline

Introduction

Motivation and background Chiral symmetry breaking Aims and predictions

Results

Phase diagram Spectrum Mass anomalous dimension

Conclusions and outlook

slide-3
SLIDE 3

Motivation

  • SU(2)+ 2 adjoint Dirac flavours known to be in the conformal

window

  • Can we pin down the end of the conformal window?
  • Look at SU

1 adjoint Dirac flavour

slide-4
SLIDE 4

Motivation

  • SU(2)+ 2 adjoint Dirac flavours known to be in the conformal

window

  • Can we pin down the end of the conformal window?
  • Look at SU

1 adjoint Dirac flavour

slide-5
SLIDE 5

Motivation

  • SU(2)+ 2 adjoint Dirac flavours known to be in the conformal

window

  • Can we pin down the end of the conformal window?
  • Look at SU(2)+ 1 adjoint Dirac flavour
slide-6
SLIDE 6

Analytic prediction

Model is widely predicted to be confining. Why?

  • Large-N volume reduction: 1 adjoint flavour is confining

– IR behaviour unclear – N dependence uncertain

  • SYM is confining; take large scalar mass limit

– But confinement requires SUSY, which requires massless scalars. – Fate of confinement when SUSY is broken is unclear Strong assertions of confinement are not justified.

slide-7
SLIDE 7

Analytic prediction

Model is widely predicted to be confining. Why?

  • Large-N volume reduction: 1 adjoint flavour is confining

– IR behaviour unclear – N dependence uncertain

  • SYM is confining; take large scalar mass limit

– But confinement requires SUSY, which requires massless scalars. – Fate of confinement when SUSY is broken is unclear Strong assertions of confinement are not justified.

slide-8
SLIDE 8

Analytic prediction

Model is widely predicted to be confining. Why?

  • Large-N volume reduction: 1 adjoint flavour is confining

– IR behaviour unclear – N dependence uncertain

  • SYM is confining; take large scalar mass limit

– But confinement requires SUSY, which requires massless scalars. – Fate of confinement when SUSY is broken is unclear Strong assertions of confinement are not justified.

slide-9
SLIDE 9

Analytic prediction

Model is widely predicted to be confining. Why?

  • Large-N volume reduction: 1 adjoint flavour is confining

– IR behaviour unclear – N dependence uncertain

  • N = 2 SYM is confining; take large scalar mass limit

– But confinement requires SUSY, which requires massless scalars. – Fate of confinement when SUSY is broken is unclear Strong assertions of confinement are not justified.

slide-10
SLIDE 10

Analytic prediction

Model is widely predicted to be confining. Why?

  • Large-N volume reduction: 1 adjoint flavour is confining

– IR behaviour unclear – N dependence uncertain

  • N = 2 SYM is confining; take large scalar mass limit

– But confinement requires SUSY, which requires massless scalars. – Fate of confinement when SUSY is broken is unclear Strong assertions of confinement are not justified.

slide-11
SLIDE 11

Analytic prediction

Model is widely predicted to be confining. Why?

  • Large-N volume reduction: 1 adjoint flavour is confining

– IR behaviour unclear – N dependence uncertain

  • N = 2 SYM is confining; take large scalar mass limit

– But confinement requires SUSY, which requires massless scalars. – Fate of confinement when SUSY is broken is unclear Strong assertions of confinement are not justified.

slide-12
SLIDE 12

Analytic prediction

Model is widely predicted to be confining. Why?

  • Large-N volume reduction: 1 adjoint flavour is confining

– IR behaviour unclear – N dependence uncertain

  • N = 2 SYM is confining; take large scalar mass limit

– But confinement requires SUSY, which requires massless scalars. – Fate of confinement when SUSY is broken is unclear Strong assertions of confinement are not justified.

slide-13
SLIDE 13

Chiral symmetry breaking

  • One flavour—surely no chiral structure?
  • 1 Dirac flavour = 2 Majorana/Weyl d.o.f.
  • SU(2) symmetry between two chiral flavours
  • Breaks to SO(2): 2 Goldstones
  • Insufficient for EWSB; not a WT candidate
slide-14
SLIDE 14

Chiral symmetry breaking

  • One flavour—surely no chiral structure?
  • 1 Dirac flavour = 2 Majorana/Weyl d.o.f.
  • SU(2) symmetry between two chiral flavours
  • Breaks to SO(2): 2 Goldstones
  • Insufficient for EWSB; not a WT candidate
slide-15
SLIDE 15

Chiral symmetry breaking

  • One flavour—surely no chiral structure?
  • 1 Dirac flavour = 2 Majorana/Weyl d.o.f.
  • SU(2) symmetry between two chiral flavours
  • Breaks to SO(2): 2 Goldstones
  • Insufficient for EWSB; not a WT candidate
slide-16
SLIDE 16

Chiral symmetry breaking

  • One flavour—surely no chiral structure?
  • 1 Dirac flavour = 2 Majorana/Weyl d.o.f.
  • SU(2) symmetry between two chiral flavours
  • Breaks to SO(2): 2 Goldstones
  • Insufficient for EWSB; not a WT candidate
slide-17
SLIDE 17

Chiral symmetry breaking

  • One flavour—surely no chiral structure?
  • 1 Dirac flavour = 2 Majorana/Weyl d.o.f.
  • SU(2) symmetry between two chiral flavours
  • Breaks to SO(2): 2 Goldstones
  • Insufficient for EWSB; not a WT candidate
slide-18
SLIDE 18

Aims

  • First-principles confirmation of IR conformality/confinement
  • Spectroscopy
  • Anomalous dimension
  • Topological charge, susceptibility
  • Static potential
slide-19
SLIDE 19

Aims

  • First-principles confirmation of IR conformality/confinement
  • Spectroscopy
  • Anomalous dimension
  • Topological charge, susceptibility
  • Static potential
slide-20
SLIDE 20

Aims

  • First-principles confirmation of IR conformality/confinement
  • Spectroscopy
  • Anomalous dimension
  • Topological charge, susceptibility
  • Static potential
slide-21
SLIDE 21

Aims

  • First-principles confirmation of IR conformality/confinement
  • Spectroscopy
  • Anomalous dimension
  • Topological charge, susceptibility
  • Static potential
slide-22
SLIDE 22

Aims

  • First-principles confirmation of IR conformality/confinement
  • Spectroscopy
  • Anomalous dimension
  • Topological charge, susceptibility
  • Static potential
slide-23
SLIDE 23

Predictions

  • Confinement: mPS → 0, mV ̸→ 0 as mPCAC → 0.
  • Conformal: Locking at scale mlock:

– mPCAC mlock mstate m

.

– Ratios of spectral quantities in this regime constant.

  • Near-conformal: Intermediary conformal-like region, IR confining

region – Not clearly identifiable, for limited range of masses

slide-24
SLIDE 24

Predictions

  • Confinement: mPS → 0, mV ̸→ 0 as mPCAC → 0.
  • Conformal: Locking at scale mlock:

– mPCAC mlock mstate m

.

– Ratios of spectral quantities in this regime constant.

  • Near-conformal: Intermediary conformal-like region, IR confining

region – Not clearly identifiable, for limited range of masses

slide-25
SLIDE 25

Predictions

  • Confinement: mPS → 0, mV ̸→ 0 as mPCAC → 0.
  • Conformal: Locking at scale mlock:

– mPCAC < mlock ⇒ mstate ∼ m1/(1+γ∗) → 0. – Ratios of spectral quantities in this regime constant.

  • Near-conformal: Intermediary conformal-like region, IR confining

region – Not clearly identifiable, for limited range of masses

slide-26
SLIDE 26

Predictions

  • Confinement: mPS → 0, mV ̸→ 0 as mPCAC → 0.
  • Conformal: Locking at scale mlock:

– mPCAC < mlock ⇒ mstate ∼ m1/(1+γ∗) → 0. – Ratios of spectral quantities in this regime constant.

  • Near-conformal: Intermediary conformal-like region, IR confining

region – Not clearly identifiable, for limited range of masses

slide-27
SLIDE 27

Predictions

  • Confinement: mPS → 0, mV ̸→ 0 as mPCAC → 0.
  • Conformal: Locking at scale mlock:

– mPCAC < mlock ⇒ mstate ∼ m1/(1+γ∗) → 0. – Ratios of spectral quantities in this regime constant.

  • Near-conformal: Intermediary conformal-like region, IR confining

region – Not clearly identifiable, for limited range of masses

slide-28
SLIDE 28

Predictions

  • Confinement: mPS → 0, mV ̸→ 0 as mPCAC → 0.
  • Conformal: Locking at scale mlock:

– mPCAC < mlock ⇒ mstate ∼ m1/(1+γ∗) → 0. – Ratios of spectral quantities in this regime constant.

  • Near-conformal: Intermediary conformal-like region, IR confining

region – Not clearly identifiable, for limited range of masses

slide-29
SLIDE 29

Lattice results

  • Phase diagram: plaquette on 44 lattice; 1.4 ≤ β ≤ 2.8,

−1.7 ≤ am ≤ −0.1

  • Full set of simulations at two values of

and :

Baryon spectroscopy, Static potential Topological charge

  • nly:

Gluonic spectroscopy (glueballs and torelon mass) Mesonic spectoscopy Spin- state mass ( gluion-glue) Anomalous dimension (mode number)

  • V

L L , L

  • Spectral ratios roughly constant—consistent with conformality
  • Wilson loop

torelon

  • Center unbroken
  • Good sampling of topological sectors
slide-30
SLIDE 30

Phase diagram

0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75

  • 1.6
  • 1.4
  • 1.2
  • 1
  • 0.8
  • 0.6
  • 0.4
  • 0.2

Plaquette a m  1.4 1.5 1.6 1.7 1.8 1.85 1.9 1.95 2.0 2.05 2.1 2.15 2.2 2.3 2.4 2.5 2.6 2.7 2.8

slide-31
SLIDE 31

Lattice results

  • Phase diagram: plaquette on 44 lattice; 1.4 ≤ β ≤ 2.8,

−1.7 ≤ am ≤ −0.1

  • Full set of simulations at two values of β

and :

Baryon spectroscopy, Static potential Topological charge

  • nly:

Gluonic spectroscopy (glueballs and torelon mass) Mesonic spectoscopy Spin- state mass ( gluion-glue) Anomalous dimension (mode number)

  • V

L L , L

  • Spectral ratios roughly constant—consistent with conformality
  • Wilson loop

torelon

  • Center unbroken
  • Good sampling of topological sectors
slide-32
SLIDE 32

Lattice results

  • Phase diagram: plaquette on 44 lattice; 1.4 ≤ β ≤ 2.8,

−1.7 ≤ am ≤ −0.1

  • Full set of simulations at two values of β

– β = 2.05 and 2.2:

Baryon spectroscopy, Static potential Topological charge

  • nly:

Gluonic spectroscopy (glueballs and torelon mass) Mesonic spectoscopy Spin- state mass ( gluion-glue) Anomalous dimension (mode number)

  • V

L L , L

  • Spectral ratios roughly constant—consistent with conformality
  • Wilson loop

torelon

  • Center unbroken
  • Good sampling of topological sectors
slide-33
SLIDE 33

Lattice results

  • Phase diagram: plaquette on 44 lattice; 1.4 ≤ β ≤ 2.8,

−1.7 ≤ am ≤ −0.1

  • Full set of simulations at two values of β

– β = 2.05 and 2.2:

▶ Baryon spectroscopy, ▶ Static potential ▶ Topological charge

  • nly:

Gluonic spectroscopy (glueballs and torelon mass) Mesonic spectoscopy Spin- state mass ( gluion-glue) Anomalous dimension (mode number)

  • V

L L , L

  • Spectral ratios roughly constant—consistent with conformality
  • Wilson loop

torelon

  • Center unbroken
  • Good sampling of topological sectors
slide-34
SLIDE 34

Lattice results

  • Phase diagram: plaquette on 44 lattice; 1.4 ≤ β ≤ 2.8,

−1.7 ≤ am ≤ −0.1

  • Full set of simulations at two values of β

– β = 2.05 and 2.2:

▶ Baryon spectroscopy, ▶ Static potential ▶ Topological charge

– β = 2.05 only:

Gluonic spectroscopy (glueballs and torelon mass) Mesonic spectoscopy Spin- state mass ( gluion-glue) Anomalous dimension (mode number)

  • V

L L , L

  • Spectral ratios roughly constant—consistent with conformality
  • Wilson loop

torelon

  • Center unbroken
  • Good sampling of topological sectors
slide-35
SLIDE 35

Lattice results

  • Phase diagram: plaquette on 44 lattice; 1.4 ≤ β ≤ 2.8,

−1.7 ≤ am ≤ −0.1

  • Full set of simulations at two values of β

– β = 2.05 and 2.2:

▶ Baryon spectroscopy, ▶ Static potential ▶ Topological charge

– β = 2.05 only:

▶ Gluonic spectroscopy (glueballs and torelon mass) ▶ Mesonic spectoscopy ▶ Spin- 1 2 state mass (∼gluion-glue) ▶ Anomalous dimension (mode number)

  • V

L L , L

  • Spectral ratios roughly constant—consistent with conformality
  • Wilson loop

torelon

  • Center unbroken
  • Good sampling of topological sectors
slide-36
SLIDE 36

Lattice results

  • Phase diagram: plaquette on 44 lattice; 1.4 ≤ β ≤ 2.8,

−1.7 ≤ am ≤ −0.1

  • Full set of simulations at two values of β

– β = 2.05 and 2.2:

▶ Baryon spectroscopy, ▶ Static potential ▶ Topological charge

– β = 2.05 only:

▶ Gluonic spectroscopy (glueballs and torelon mass) ▶ Mesonic spectoscopy ▶ Spin- 1 2 state mass (∼gluion-glue) ▶ Anomalous dimension (mode number)

  • V = 2L × L3, L = 8, 12, 16, 24, 32
  • Spectral ratios roughly constant—consistent with conformality
  • Wilson loop

torelon

  • Center unbroken
  • Good sampling of topological sectors
slide-37
SLIDE 37

β = 2.05 spectrum

0.5 1 1.5 2 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 a mState a mPCAC 0⁺ scalar meson 2⁺ scalar baryon 0⁻ pseudoscalar meson 0⁺ glueball Spin-½ state σ

slide-38
SLIDE 38

β = 2.05 spectral ratios

1 2 3 4 5 6 7 8 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 mState / σ a mPCAC 0⁺ scalar meson 0⁻ pseudoscalar meson 0⁺ axial vector meson 0⁻ vector meson 0⁺ glueball

slide-39
SLIDE 39

β = 2.05 spectral ratios

1 2 3 4 5 6 7 8 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 mState / σ a mPCAC 2⁺ scalar baryon 2⁻ pseudoscalar baryon 2⁻ vector baryon Spin-½ state

slide-40
SLIDE 40

β = 2.2 spectrum—provisional

0.5 1 1.5 2 0.05 0.1 0.15 0.2 0.25 0.3 a mState a mPCAC 2⁺ scalar baryon 0⁻ vector meson σ

slide-41
SLIDE 41

β = 2.2 spectral ratios—provisional

1 2 3 4 5 6 0.05 0.1 0.15 0.2 0.25 0.3 mState / σ a mPCAC 2⁺ scalar baryon 0⁻ vector meson

slide-42
SLIDE 42

Lattice results

  • Phase diagram: plaquette on 44 lattice; 1.4 ≤ β ≤ 2.8,

−1.7 ≤ am ≤ −0.1

  • Full set of simulations at two values of β

– β = 2.05 and 2.2:

▶ Baryon spectroscopy, ▶ Static potential ▶ Topological charge

– β = 2.05 only:

▶ Gluonic spectroscopy (glueballs and torelon mass) ▶ Mesonic spectoscopy ▶ Spin- 1 2 state mass (∼gluion-glue) ▶ Anomalous dimension (mode number)

  • V = 2L × L3, L = 8, 12, 16, 24, 32
  • Spectral ratios roughly constant—consistent with conformality
  • Wilson loop

torelon

  • Center unbroken
  • Good sampling of topological sectors
slide-43
SLIDE 43

Center symmetry

20 40 60 80 100 120 140 160

  • 0.06
  • 0.04
  • 0.02

0.02 0.04 0.06 Count x  1 2 3

slide-44
SLIDE 44

Lattice results

  • Phase diagram: plaquette on 44 lattice; 1.4 ≤ β ≤ 2.8,

−1.7 ≤ am ≤ −0.1

  • Full set of simulations at two values of β

– β = 2.05 and 2.2:

▶ Baryon spectroscopy, ▶ Static potential ▶ Topological charge

– β = 2.05 only:

▶ Gluonic spectroscopy (glueballs and torelon mass) ▶ Mesonic spectoscopy ▶ Spin- 1 2 state mass (∼gluion-glue) ▶ Anomalous dimension (mode number)

  • V = 2L × L3, L = 8, 12, 16, 24, 32
  • Spectral ratios roughly constant—consistent with conformality
  • Wilson loop σ ≡ torelon σ
  • Center unbroken
  • Good sampling of topological sectors
slide-45
SLIDE 45

Sample topological charge histories

β = 2.05, m = −1.475, L = 32 β = 2.05, m = −1.510, L = 32

  • 20
  • 15
  • 10
  • 5

5 10 15 20 500 1000 1500 2000 2500 3000 3500 4000 Q Configuration #

  • 15
  • 10
  • 5

5 10 15 500 1000 1500 2000 2500 3000 3500 4000 Q Configuration #

β = 2.05, m = −1.523, L = 48

  • 20
  • 10

10 20 500 1000 1500 2000 Q Configuration #

slide-46
SLIDE 46

Lattice results

  • Phase diagram: plaquette on 44 lattice; 1.4 ≤ β ≤ 2.8,

−1.7 ≤ am ≤ −0.1

  • Full set of simulations at two values of β

– β = 2.05 and 2.2:

▶ Baryon spectroscopy, ▶ Static potential ▶ Topological charge

– β = 2.05 only:

▶ Gluonic spectroscopy (glueballs and torelon mass) ▶ Mesonic spectoscopy ▶ Spin- 1 2 state mass (∼gluion-glue) ▶ Anomalous dimension (mode number)

  • V = 2L × L3, L = 8, 12, 16, 24, 32
  • Spectral ratios roughly constant—consistent with conformality
  • Wilson loop σ ≡ torelon σ
  • Center unbroken
  • Good sampling of topological sectors
slide-47
SLIDE 47

Mass anomalous dimension

  • Mass anomalous dimension γ∗ ∼ 1 important for WTC
  • Observing large

here indicates viability for other WTC candidates

  • By inspection, fitting Lam

L amPCAC

  • Fitting the Dirac mode number per unit volume

a a m A a am

from Patella [arxiv:1204.4432] –

slide-48
SLIDE 48

Mass anomalous dimension

  • Mass anomalous dimension γ∗ ∼ 1 important for WTC
  • Observing large γ∗ here indicates viability for other WTC

candidates

  • By inspection, fitting Lam

L amPCAC

  • Fitting the Dirac mode number per unit volume

a a m A a am

from Patella [arxiv:1204.4432] –

slide-49
SLIDE 49

Mass anomalous dimension

  • Mass anomalous dimension γ∗ ∼ 1 important for WTC
  • Observing large γ∗ here indicates viability for other WTC

candidates

  • By inspection, fitting Lamγ5 ∼ L(amPCAC)

1 1+γ∗

  • Fitting the Dirac mode number per unit volume

a a m A a am

from Patella [arxiv:1204.4432] –

slide-50
SLIDE 50

γ∗ inspection fit

4 6 8 10 12 14 16 18 20 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 L a m5 L (amPCAC)1/(1 + *) * = 0.8 16 × 83 24 × 123 32 × 163 48 × 243

slide-51
SLIDE 51

γ∗ inspection fit

4 6 8 10 12 14 16 18 20 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 L a m5 L (amPCAC)1/(1 + *) * = 0.9 16 × 83 24 × 123 32 × 163 48 × 243

slide-52
SLIDE 52

γ∗ inspection fit

4 6 8 10 12 14 16 18 20 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 L a m5 L (amPCAC)1/(1 + *) * = 1.0 16 × 83 24 × 123 32 × 163 48 × 243

slide-53
SLIDE 53

Mass anomalous dimension

  • Mass anomalous dimension γ∗ ∼ 1 important for WTC
  • Observing large γ∗ here indicates viability for other WTC

candidates

  • By inspection, fitting Lamγ5 ∼ L(amPCAC)

1 1+γ∗

– ⇒ 0.9 ≲ γ∗ ≲ 1.1

  • Fitting the Dirac mode number per unit volume

a a m A a am

from Patella [arxiv:1204.4432] –

slide-54
SLIDE 54

Mass anomalous dimension

  • Mass anomalous dimension γ∗ ∼ 1 important for WTC
  • Observing large γ∗ here indicates viability for other WTC

candidates

  • By inspection, fitting Lamγ5 ∼ L(amPCAC)

1 1+γ∗

– ⇒ 0.9 ≲ γ∗ ≲ 1.1

  • Fitting the Dirac mode number per unit volume ν(Ω)

a−4ν(Ω) ≈ a−4ν0(m) + A [ (aΩ)2 − (am)2]

2 1+γ∗

from Patella [arxiv:1204.4432] –

slide-55
SLIDE 55

Mode number results

  • 8
  • 7
  • 6
  • 5
  • 4
  • 3
  • 2
  • 3.5
  • 3
  • 2.5
  • 2
  • 1.5
  • 1

ln() ln( / V) B1 B2 B3 C5 C6 D2

slide-56
SLIDE 56

Mode number results

  • 7.5
  • 7
  • 6.5
  • 6
  • 5.5
  • 5
  • 4.5
  • 4
  • 3.5
  • 3
  • 2.5
  • 2
  • 3.5
  • 3
  • 2.5
  • 2
  • 1.5
  • 1

ln( / V) ln() D2 numerical results (645000, 0.00124, 0.899, 291) (714000, 0.00273, 0.912, 14700)

slide-57
SLIDE 57

γ∗ mode number fit

400000 500000 600000 700000 800000 900000 1x106 0.2 0.25 0.3 0.35 0.4 0.45 0.5

A

Upper end of window 0.01 0.02 0.03 0.04 0.05 0.2 0.25 0.3 0.35 0.4 0.45 0.5

a2M

2

Upper end of window 0.7 0.75 0.8 0.85 0.9 0.95 1 1.05 0.2 0.25 0.3 0.35 0.4 0.45 0.5

γ∗

Upper end of window 5000 10000 15000 20000 25000 30000 0.2 0.25 0.3 0.35 0.4 0.45 0.5

ν0

Upper end of window

Lower end of window:

slide-58
SLIDE 58

Mass anomalous dimension

  • Mass anomalous dimension γ∗ ∼ 1 important for WTC
  • Observing large γ∗ here indicates viability for other WTC

candidates

  • By inspection, fitting Lamγ5 ∼ L(amPCAC)

1 1+γ∗

– ⇒ 0.9 ≲ γ∗ ≲ 1.1

  • Fitting the Dirac mode number per unit volume ν(Ω)

a−4ν(Ω) ≈ a−4ν0(m) + A [ (aΩ)2 − (am)2]

2 1+γ∗

from Patella [arxiv:1204.4432] – ⇒ 0.9 ≲ γ∗ ≲ 0.95

slide-59
SLIDE 59

Conclusions

  • First lattice study of SU(2) + 1 adjoint Dirac flavour
  • Constant mass ratios
  • Light scalar present in spectrum
  • Mass anomalous dimension is large,

Results tentatively suggest

  • SU

1 adjoint Dirac flavour is not QCD-like

  • Potentially walking or conformal
  • Could form part of a slightly larger technicolor sector (e.g.

SU

1 adjoint 1 fundamental Dirac flavour)

slide-60
SLIDE 60

Conclusions

  • First lattice study of SU(2) + 1 adjoint Dirac flavour
  • Constant mass ratios
  • Light scalar present in spectrum
  • Mass anomalous dimension is large,

Results tentatively suggest

  • SU

1 adjoint Dirac flavour is not QCD-like

  • Potentially walking or conformal
  • Could form part of a slightly larger technicolor sector (e.g.

SU

1 adjoint 1 fundamental Dirac flavour)

slide-61
SLIDE 61

Conclusions

  • First lattice study of SU(2) + 1 adjoint Dirac flavour
  • Constant mass ratios
  • Light scalar present in spectrum
  • Mass anomalous dimension is large,

Results tentatively suggest

  • SU

1 adjoint Dirac flavour is not QCD-like

  • Potentially walking or conformal
  • Could form part of a slightly larger technicolor sector (e.g.

SU

1 adjoint 1 fundamental Dirac flavour)

slide-62
SLIDE 62

Conclusions

  • First lattice study of SU(2) + 1 adjoint Dirac flavour
  • Constant mass ratios
  • Light scalar present in spectrum
  • Mass anomalous dimension is large, ∼ 1

Results tentatively suggest

  • SU

1 adjoint Dirac flavour is not QCD-like

  • Potentially walking or conformal
  • Could form part of a slightly larger technicolor sector (e.g.

SU

1 adjoint 1 fundamental Dirac flavour)

slide-63
SLIDE 63

Conclusions

  • First lattice study of SU(2) + 1 adjoint Dirac flavour
  • Constant mass ratios
  • Light scalar present in spectrum
  • Mass anomalous dimension is large, ∼ 1

Results tentatively suggest

  • SU

1 adjoint Dirac flavour is not QCD-like

  • Potentially walking or conformal
  • Could form part of a slightly larger technicolor sector (e.g.

SU

1 adjoint 1 fundamental Dirac flavour)

slide-64
SLIDE 64

Conclusions

  • First lattice study of SU(2) + 1 adjoint Dirac flavour
  • Constant mass ratios
  • Light scalar present in spectrum
  • Mass anomalous dimension is large, ∼ 1

Results tentatively suggest

  • SU(2) + 1 adjoint Dirac flavour is not QCD-like
  • Potentially walking or conformal
  • Could form part of a slightly larger technicolor sector (e.g.

SU

1 adjoint 1 fundamental Dirac flavour)

slide-65
SLIDE 65

Conclusions

  • First lattice study of SU(2) + 1 adjoint Dirac flavour
  • Constant mass ratios
  • Light scalar present in spectrum
  • Mass anomalous dimension is large, ∼ 1

Results tentatively suggest

  • SU(2) + 1 adjoint Dirac flavour is not QCD-like
  • Potentially walking or conformal
  • Could form part of a slightly larger technicolor sector (e.g.

SU

1 adjoint 1 fundamental Dirac flavour)

slide-66
SLIDE 66

Conclusions

  • First lattice study of SU(2) + 1 adjoint Dirac flavour
  • Constant mass ratios
  • Light scalar present in spectrum
  • Mass anomalous dimension is large, ∼ 1

Results tentatively suggest

  • SU(2) + 1 adjoint Dirac flavour is not QCD-like
  • Potentially walking or conformal
  • Could form part of a slightly larger technicolor sector (e.g.

SU(2) + 1 adjoint + 1 fundamental Dirac flavour)

slide-67
SLIDE 67

Ongoing work

  • Complete data for β = 2.2
  • Larger volumes (more data at V

)

  • Lower m (towards chiral limit, look for signs of

SB)

  • Look to running of coupling via Wilson flow
slide-68
SLIDE 68

Ongoing work

  • Complete data for β = 2.2
  • Larger volumes (more data at V = 64 × 323, 96 × 483)
  • Lower m (towards chiral limit, look for signs of

SB)

  • Look to running of coupling via Wilson flow
slide-69
SLIDE 69

Ongoing work

  • Complete data for β = 2.2
  • Larger volumes (more data at V = 64 × 323, 96 × 483)
  • Lower m (towards chiral limit, look for signs of χSB)
  • Look to running of coupling via Wilson flow
slide-70
SLIDE 70

Ongoing work

  • Complete data for β = 2.2
  • Larger volumes (more data at V = 64 × 323, 96 × 483)
  • Lower m (towards chiral limit, look for signs of χSB)
  • Look to running of coupling via Wilson flow