Fluctuations and the axial anomaly with three quark flavors

Abstract

The role of the axial anomaly in the chiral phase transition at finite temperature and quark chemical potential is investigated within a non-perturbative functional renormalization group approach. The flow equation for the grand potential is solved to leading-order in a derivative expansion of a three flavor quark-meson model truncation. The results are compared with a standard and an extended mean-field analysis, which facilitates the exploration of the influence of bosonic and fermionic fluctuations, respectively, on the phase transition. The influence of U(1)_A-symmetry breaking on the chiral transition, the location of a possible critical endpoint in the phase diagram and the quark mass sensitivity is studied in detail.

12 pages, 11 figures, accepted version

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• Chiral Susceptibility in (2+1)-flavour QCD
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• Hybrid and quark star matter based on a non-perturbative equation of state
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• Numerical fluid dynamics for FRG flow equations: Zero-dimensional QFTs as numerical test cases. I. The $O(N)$ model
• Strangeness Neutrality and QCD Thermodynamics
• Thermodynamics of 2+1 Flavor Polyakov-Loop Quark-Meson Model under External Magnetic Field
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• Phase structure of NJL model with weak renormalization group
• Low-energy limit of the $O(4)$ quark-meson model from the functional renormalization group approach
• Baryon number fluctuations in the 2+1 flavor low energy effective model
• The chiral phase transition and the axial anomaly
• Tachyonic instability of the scalar mode prior to QCD critical point based on Functional renormalization-group method
• Functional dependence of axial anomaly via mesonic fluctuations in the three flavor linear sigma model
• The Myriad Uses of Instantons
• U(2)xU(2)-symmetric fixed point from the Functional Renormalization Group
• Numerical fluid dynamics for FRG flow equations: Zero-dimensional QFTs as numerical test cases. III. Shock and rarefaction waves in RG flows reveal limitations of the $N\to \infty$ limit in $O(N)$-type models
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• ${\eta }^{\prime }$ and $\eta$ mesons at high T when the U_A(1) and chiral symmetry breaking are tied
• Anomalous $U(1{)}_A$ couplings and the Columbia plot
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• Exploring axial $U(1)$ restoration in a modified 2+1 flavor Polyakov quark meson model
• Mesonic and nucleon fluctuation effects at finite baryon density
• Regulator scheme dependence of the chiral phase transition at high densities
• New Insight about the Effective Restoration of U_A(1) Symmetry
• A $U_A(1)$ symmetry restoration scenario supported by the generalized Witten-Veneziano relation and its analytic solution
• $D$ mesons as a probe of Casimir effect for chiral symmetry breaking
• Field dependence of the Yukawa coupling in the three flavor quark-meson model
• Scaling violation and the magnetic equation of state in chiral models
• Range of topological fluctuations in the three-flavor linear sigma model
• Finite temperature QCD with $N_f=2+1+1$ Wilson twisted mass fermions at physical pion, strange and charm masses
• Backreaction of mesonic fluctuations on the axial anomaly at finite temperature