Inverse magnetic catalysis and regularization in the quark-meson model

Abstract

Motivated by recent work on inverse magnetic catalysis at finite temperature, we study the quark-meson model using both dimensional regularization and a sharp cutoff. We calculate the critical temperature for the chiral transition as a function of the Yukawa coupling in the mean-field approximation varying the renormalization scale and the value of the ultraviolet cutoff. We show that the results depend sensitively on how one treats the fermionic vacuum fluctuations in the model and in particular on the regulator used. Finally, we explore a $B$-dependent transition temperature for the Polyakov loop potential $T_0(B)$ using the functional renormalization group. These results show that even arbitrary freedom in the function $T_0(B)$ does not allow for a decreasing chiral transition temperature as a function of $B$. This is in agreement with previous mean-field calculations.

13 pages, 5 figures

References in corpus (12)

• QCD Phase Transition in a Strong Magnetic Background
• The QCD phase diagram at nonzero quark density
• The Importance of Asymptotic Freedom for the Pseudocritical Temperature in Magnetized Quark Matter
• Inverse magnetic catalysis in the (2+1)-flavor Nambu--Jona-Lasinio and Polyakov--Nambu--Jona-Lasinio models
• Chiral transition in a strong magnetic background
• Chiral Properties of Strong Interactions in a Magnetic Background
• Quark-hadron phase transition in a magnetic field
• Quark Antiscreening at Strong Magnetic Field and Inverse Magnetic Catalysis
• Inverse magnetic catalysis for the chiral transition induced by thermo-magnetic effects on the coupling constant
• Entanglement between chiral and deconfinement transitions under strong uniform magnetic background field
• The chiral transition in a magnetic background: Finite density effects and the functional renormalization group
• Magnetic catalysis in nuclear matter

Cited by in corpus (12)

• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Inverse Magnetic Catalysis in the Soft-Wall Model of AdS/QCD
• Heavy meson spectroscopy under strong magnetic field
• Inverse Magnetic Catalysis in the three-flavor NJL model with axial-vector interaction
• Magnetic catalysis and inverse magnetic catalysis in nonlocal chiral quark models
• Chiral phase transition of QCD with $N_f=2+1$ flavors from holography
• Thermodynamics of 2+1 Flavor Polyakov-Loop Quark-Meson Model under External Magnetic Field
• Strong magnetic fields in nonlocal chiral quark models
• Analytic Study of Magnetic Catalysis in Holographic QCD
• QCD in magnetic fields: from Hofstadter's butterfly to the phase diagram
• Critical point in the QCD phase diagram for extremely strong background magnetic fields
• Hadronic matter at the edge: A survey of some theoretical approaches to the physics of the QCD phase diagram