U(2)xU(2)-symmetric fixed point from the Functional Renormalization Group

Abstract

The existence of an U(2)xU(2)-symmetric fixed point in the chiral linear sigma model is confirmed using the Functional Renormalization Group (FRG). Its stability properties and the implications for the order of the chiral phase transition of two-flavor quantum chromodynamics (QCD) are discussed. Furthermore, several technical conclusions are drawn from the comparison with the results of resummed loop expansions.

9 pages

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Cited by in corpus (17)

• Evidence of effective axial U(1) symmetry restoration at high temperature QCD
• Correlated Dirac Eigenvalues and Axial Anomaly in Chiral Symmetric QCD
• Criticality of QCD in a holographic QCD model with critical end point
• Functional Renormalization Group Study of the Chiral Phase Transition Including Vector and Axial-vector Mesons
• Critical exponents of finite temperature chiral phase transition in soft-wall AdS/QCD models
• Thermal properties and evolution of the $U_A(1)$ factor for 2+1 flavors
• Low-energy limit of the $O(4)$ quark-meson model from the functional renormalization group approach
• The chiral phase transition and the axial anomaly
• Functional dependence of axial anomaly via mesonic fluctuations in the three flavor linear sigma model
• Second order chiral phase transition in three flavor quantum chromodynamics?
• Linking $U(2)\times U(2)$ to $O(4)$ model via decoupling
• Pion and $\eta$-meson mass splitting at the two-flavour chiral crossover
• Anomalous $U(1{)}_A$ couplings and the Columbia plot
• Anomalous interactions between mesons with nonzero spin and glueballs
• Microscopic Encoding of Macroscopic Universality: Scaling Properties of Dirac Eigenspectra near QCD Chiral Phase Transition
• Field dependence of the Yukawa coupling in the three flavor quark-meson model
• Backreaction of mesonic fluctuations on the axial anomaly at finite temperature