QCD Chiral restoration at finite T under the Magnetic field: Studies based on the instanton vacuum model

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We investigate the chiral restoration at finite temperature (T) under the strong external magnetic field B=B₀z 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.