Euler-Heisenberg-Weiss action for QCD+QED

Abstract

We derive an analytic expression for one-loop effective action of QCD+QED at zero and finite temperatures by using the Schwinger's proper time method. The result is a nonlinear effective action not only for electromagnetic and chromo-electromagnetic fields but also the Polyakov loop, and thus reproduces the Euler-Heisenberg action in QED, QCD, and QED+QCD, and also the Weiss potential for the Polyakov loop at finite temperature. As applications of this "Euler-Heisenberg-Weiss" action in QCD+QED, we investigate quark pair productions induced by QCD+QED fields at zero temperature and the Polyakov loop in the presence of strong electromagnetic fields. Quark one-loop contribution to the effective potential of the Polyakov loop explicitly breaks the center symmetry, and is found to be enhanced by the magnetic field, which is consistent with the inverse magnetic catalysis observed in lattice QCD simulation.

36 pages, 10 figures, version published in PRD

References in corpus (4)

• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Some Features of the Glasma
• The chiral condensate in a constant electromagnetic field
• Entanglement between chiral and deconfinement transitions under strong uniform magnetic background field

Cited by in corpus (11)

• Polyakov loop modeling for hot QCD
• Confining gauge theories and holographic entanglement entropy with a magnetic field
• Magnetically induced QCD Kondo effect
• SU(2) low energy quark effective couplings in weak external magnetic field
• Mesons in strong magnetic fields: (I) General analyses
• Critical point in the QCD phase diagram for extremely strong background magnetic fields
• Thermodynamics of Chiral Fermion System in a Uniform Magnetic Field
• Note on all-order Landau-level structures of the Heisenberg-Euler effective actions for QED and QCD
• Euler-Heisenberg Lagrangian under an axial gauge field
• Everlasting interaction: polarization summation without a Landau pole
• Large quark mass Euler-Heisenberg type action for QCD with quark sources and its Abelian limit