Renormalized vs Nonrenormalized Chiral Transition in a Magnetic Background

Abstract

We study analytically the chiral phase transition for hot quark matter in presence of a strong magnetic background, focusing on the existence of a critical point at zero baryon chemical potential and nonzero magnetic field. We build up a Ginzburg-Landau effective potential for the chiral condensate at finite temperature, computing the coefficients of the expansion within a chiral quark-meson model. Our conclusion is that the existence of the critical point at finite $\mathbf{B}$ is very sensitive to the way the ultraviolet divergences of the model are treated. In particular, we find that after renormalization, no chiral critical point is present in the phase diagram. On the other hand, such a critical point there exists when the ultraviolet divergences are not removed by a proper renormalization of the thermodynamic potential.

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• Strong-Field Physics in QED and QCD: From Fundamentals to Applications
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• Recent progresses on QCD phases in a strong magnetic field -- views from Nambu--Jona-Lasinio model
• Critical Endpoint and Inverse Magnetic Catalysis for Finite Temperature and Density Quark Matter in a Magnetic Background
• SU(3) Polyakov Linear Sigma-Model in an External Magnetic Field
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• Regularization of the Nambu-Jona Lasinio model under a uniform magnetic field and the role of the anomalous magnetic moments
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• Fluctuations and thermodynamic geometry of the chiral phase transition
• QCD phase diagram in the $T-eB$ plane for varying pion mass
• Thermodynamic Geometry of the Quark-Meson Model
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• Effect of momentum anisotropy on quark matter in the quark-meson model
• The Chiral Phase Transitions of Helical Matter
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