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QCD Chiral Restoration at Finite T Under the Magnetic Field

Studies Based on the Instanton Vacuum Model

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Abstract

We investigate the chiral restoration at finite temperature (T) under the strong external magnetic field \({{\bf B}=B_{0}\hat{z}}\) 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 \({(\bar{\rho})}\) and inter-instanton distance \({(\bar{R})}\), as functions of T. In addition, we include the meson-loop corrections as the large-N c 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 F π and m π due to the magnetic field is relatively small, in comparison to those caused by the finite T effect.

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Authors and Affiliations

  1. Department of Physics, Chung-Yuan Christian University, Chungli, 32023, Taiwan

    Chung Wen Kao

  2. School of Physics, Korea Institute for Advanced Study (KIAS), Seoul, 130-722, Republic of Korea

    Seung-il Nam

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  1. Chung Wen Kao
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  2. Seung-il Nam
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Correspondence to Chung Wen Kao.

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Kao, C.W., Nam, Si. QCD Chiral Restoration at Finite T Under the Magnetic Field. Few-Body Syst 54, 225–229 (2013). https://doi.org/10.1007/s00601-012-0352-z

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  • DOI: https://doi.org/10.1007/s00601-012-0352-z

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