QCD Chiral Restoration at Finite T Under the Magnetic Field

Abstract

We investigate the chiral restoration at finite temperature (T ) under the strong external magnetic field B = B0ẑ of the SU(2) light-flavor QCD matter. We employ the instanton-liquid QCD vacuum configuration accompanied with the linear Schwinger method for inducing the magnetic field. The Harrington-Shepard caloron solution is used to modify the instanton parameters, i.e. the average instanton size (ρ) and inter-instanton distance (R), as functions of T . In addition, we include the meson-loop corrections (MLC) as the large-Nc corrections because they are critical for reproducing the universal chiral restoration pattern. We present the numerical results for the constituent-quark mass as well as chiral condensate which signal the spontaneous breakdown of chiral-symmetry (SBχS), as functions of T and B. Besides we find that the changes for the Fπ and mπ due to the magnetic field is relatively small, in comparison to those caused by the finite T effect.