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 - - 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
Outline
Introduction
Motivation and background Chiral symmetry breaking Aims and predictions
Results
Phase diagram Spectrum Mass anomalous dimension
Conclusions and outlook
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
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
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
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.
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.
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.
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.
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.
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.
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.
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
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
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
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
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
Aims
- First-principles confirmation of IR conformality/confinement
- Spectroscopy
- Anomalous dimension
- Topological charge, susceptibility
- Static potential
Aims
- First-principles confirmation of IR conformality/confinement
- Spectroscopy
- Anomalous dimension
- Topological charge, susceptibility
- Static potential
Aims
- First-principles confirmation of IR conformality/confinement
- Spectroscopy
- Anomalous dimension
- Topological charge, susceptibility
- Static potential
Aims
- First-principles confirmation of IR conformality/confinement
- Spectroscopy
- Anomalous dimension
- Topological charge, susceptibility
- Static potential
Aims
- First-principles confirmation of IR conformality/confinement
- Spectroscopy
- Anomalous dimension
- Topological charge, susceptibility
- Static potential
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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 #
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
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] –
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] –
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] –
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 m5 L (amPCAC)1/(1 + *) * = 0.8 16 × 83 24 × 123 32 × 163 48 × 243
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 m5 L (amPCAC)1/(1 + *) * = 0.9 16 × 83 24 × 123 32 × 163 48 × 243
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 m5 L (amPCAC)1/(1 + *) * = 1.0 16 × 83 24 × 123 32 × 163 48 × 243
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] –
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] –
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
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)
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:
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
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)
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)
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)
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)
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)
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)
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)
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)
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
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
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
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