Quark mass dependence of the QCD temperature transition in magnetic fields

Abstract

Vacuum energy of quarks participates in the pressure balance at the temperature transition T_c and defines the dependence of T_c on m_q. We first check this dependence in absence of magnetic fields eB vs known lattice data, and then take into account the known strong dependence of the quark condensate on eB. The resulting function T_c(eB, m_q) is valid for all eB, m_q< \sqrtσand explains the corresponding lattice data.

14 pages, 2 figures

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Cited by in corpus (9)

• QCD phase diagram in a magnetic background for different values of the pion mass
• Nonperturbative SU(3) thermodynamics and the phase transition
• Nonperturbative QCD thermodynamics in the external magnetic field
• Magnetic susceptibility at zero and nonzero chemical potential in QCD and QED
• Chiral Perturbation Theory Analysis of the Quark Condensate in a Magnetic Field
• QCD Equation of State and Cosmological Parameters in Early Universe
• Dense Quark-Gluon Plasma in strong magnetic fields
• Quark Condensate in a Weak Magnetic Field
• Pion Pressure in a Magnetic Field