On critical scaling at the QCD N_f=2 chiral phase transition

Abstract

We investigate the critical scaling of the quark propagator of N_f=2 QCD close to the chiral phase transition at finite temperature. We argue that it is mandatory to take into account the back-reaction effects of pions and the sigma onto the quark to observe critical behavior beyond mean field. On condition of self-consistency of the quark Dyson-Schwinger equation we extract the scaling behavior for the quark propagator analytically. Crucial in this respect is the correct pion dispersion relation when the critical temperature is approached from below. Our results are consistent with the known relations for the quark condensate and the pion decay constant from universality. We verify the analytical findings also numerically assuming the critical dispersion relation for the Goldstone bosons.

9 pages, 6 figures

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Cited by in corpus (22)

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• Phase structure of three and four flavor QCD
• Propagators and phase structure of Nf=2 and Nf=2+1 QCD
• Locating the critical endpoint of QCD: mesonic backcoupling effects
• Baryon number fluctuations in the QCD phase diagram from Dyson-Schwinger equations
• Baryon effects on the location of QCD's critical end point
• Baryon and meson screening masses
• The phase structure of QCD for heavy quarks
• Criticality of QCD in a holographic QCD model with critical end point
• Landau gauge gluon and ghost propagators from lattice QCD with Nf=2 twisted mass fermions at finite temperature
• Critical exponents of finite temperature chiral phase transition in soft-wall AdS/QCD models
• QCD phase transitions in the light quark chiral limit
• Dense two-color QCD from Dyson-Schwinger equations
• Soft modes in hot QCD matter
• U(2)xU(2)-symmetric fixed point from the Functional Renormalization Group
• Quarks and light (pseudo-)scalar mesons at finite chemical potential
• Phase structure of 2+1-flavour QCD and the magnetic equation of state
• Locating the critical end point of QCD
• Masses and decay constants of (axial-)vector mesons at finite chemical potential
• Finite-volume effects in baryon number fluctuations around the QCD critical endpoint
• Two-flavor QCD at finite temperature and chemical potential in a functional approach
• Mass-dependence of pseudocritical temperature in mean field approximation