Meson Propagation in Nuclear Matter Jochen Wambach ECT*, Trento, - - PowerPoint PPT Presentation
Meson Propagation in Nuclear Matter Jochen Wambach ECT*, Trento, Italy Frontiers in Nuclear and Hadronic Physics Florence, February 20 to March 3, 2017 Outline I) Strong-Interaction Matter Thermodynamics Phase Transitions
Meson Propagation in Nuclear Matter
Jochen Wambach ECT*, Trento, Italy
Frontiers in Nuclear and Hadronic Physics Florence, February 20 to March 3, 2017
Outline
I) Strong-Interaction Matter ◮ Thermodynamics ◮ Phase Transitions ◮ Quantum-Chromodynamics ◮ The QCD Phase Diagram ◮ The Functional Renormalization Group II) Hadrons in QCD Matter ◮ The Role of Photons ◮ Dileptons in Heavy-Ion Collisions ◮ Spectral Functions from the FRG
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States of Matter
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Phase Diagram of H2O
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Landau Functions
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Matter under Extreme Conditions
early universe (∼ 10 ms) neutron star interior
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Running of the Strong Coupling Constant αs
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Mass-splitting of Parity Partners
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Symmetries of QCD and Breaking Pattern
symmetry vacuum high T low T, high µ
consequences (local) color SU(3) unbroken unbroken broken diquark condensate color super- conductivity Z(3) center symmetry unbroken broken broken Polyakov loop confinement/ deconfinement scale invariance anomaly gluon condensate scale (ΛQCD), running coupling chiral symmetry UL(Nf) × UR(Nf) = UV (1) × SUV (Nf) × SUA(Nf) × UA(1) UV (1) unbroken unbroken unbroken — baryon number conservation flavor SUV (Nf) unbroken unbroken unbroken — multiplets chiral SUA(Nf) broken unbroken broken quark condensate Goldstone bosons, no degenerate states with opposite parity UA(1) anomaly topological susceptibility violation of intrinsic parity
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Landau Functions
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’Columbia’ Plot
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Phase Diagram of QCD Matter
10-1 100 101 102 103 104
pressure
liquid gas
hadrons
mesons baryons
temperature
quarks and gluons
crossover
2SC?
C F L
chiral crystal? C E P ?
chiral phase transition 20
c
u p e r c
d u c t i n g p h a s e s
7 10 30 40 50 70 200 300 500 RHIC LHC SPS FAIR n
s u p e r f l u i d L O F F
h a s e s ?
unphysical region
1032 1033 1034 1035 1036
MeV fm
3
_
Pa MeV
K
1011 100 1012
chemical freeze out
l a t t i c e Q C D
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Phase Diagram of QCD Matter
Flow
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Flow
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Momentum Flow of the Effective Potential
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Phase diagram of the Quark-Meson Model
◮ chiral order parameter σ0 decreases towards higher T and µ ◮ a crossover is observed at T ≈ 175 MeV and µ = 0 ◮ critical endpoint (CEP) at µ ≈ 292 MeV and T ≈ 10 MeV ◮ vacuum: σ0 = 93.5 MeV, mπ = 138 MeV, mσ = 509 MeV, mq = 299 MeV
100 200 300 400 Μ MeV 50 100 150 200 250 T MeV
270 290 310 5 10 15 20
[R.-A. T., N. Strodthoff, L. v. Smekal, and J. Wambach, Phys. Rev. D 89, 034010 (2014)] 17 / 42
Generation of Mass in QCD
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Temperature Evolution of the Chiral Condensate
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Mass-splitting of Parity Partners
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Heavy-ion Collisions and Photons
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e+e− - annihilation in the vaccum
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Vector-meson Selfenergies
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Spectral Function
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Photo-absorption as a Test
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In-medium ρ-meson under HIC conditions
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Spectral Function weighted by 1/M
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Dilepton Rates
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Dilepton Rates and the Phase Diagram
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Dilepton Data CERES
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Dilepton Data STAR
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Dilepton Data SPS NA60
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Dilepton Data SPS NA60
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Flow Equations for Mesonic Two-point Functions
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Flow of the Sigma and Pion Spectral Functions in vaccum at q = 0
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Sigma and Pion Spectral Function with increasing T at µ = 0 and q = 0
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Sigma Spectral Function with increasing T at µ = 0
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Pion Spectral Function with increasing T at µ = 0
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Flow Equations for Vector-Meson Two-point Functions
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ρ and a1 Spectral Function with increasing T at µ = 0 and q = 0
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ρ and a1 Mass Flow
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ρ and a1 Pole Masses
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