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Chiral phase transition of quark matter in the background of parallel electric and magnetic fields

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Abstract

We report on our results about spontaneous chiral symmetry breaking for quark matter in the background of static and homogeneous parallel electric field, \({{\varvec{E}}}\), and magnetic field, \({{\varvec{B}}}\). A Nambu–Jona–Lasinio model is used to compute the dependence of the chiral condensate at finite temperature, E and B. We study the effect of this background on inverse catalysis of chiral symmetry breaking for E and B of the same order of magnitude. We also consider the effect of equilibration of chiral density, \(n_5\), produced by axial anomaly on the critical temperature. The equilibration of \(n_5\) allows for the introduction of the chiral chemical potential, \(\mu _5\), which is computed self-consistently as a function of temperature and field strength. We find that even if the chiral medium is produced by the fields the thermodynamics, with particular reference to the inverse catalysis induced by the external fields, it is not very affected by \(n_5\) at least if the average \(\mu _5\), at equilibrium is not too large.

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Acknowledgments

M. Ruggieri would like to acknowledge fruitful discussions with M. Chernodub and M. Frasca.

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Authors and Affiliations

  1. College of Physics, University of Chinese Academy of Sciences, Yuquanlu 19A, Beijing, 100049, China

    M. Ruggieri & Guang-Xiong Peng

  2. Theoretical Physics Center for Science Facilities, Institute of High Energy Physics, Beijing, 100049, China

    Guang-Xiong Peng

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  1. M. Ruggieri
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  2. Guang-Xiong Peng
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Correspondence to M. Ruggieri.

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This work was supported by the CAS President’s International Fellowship Initiative (No. 2015PM008), and the National Natural Science Foundation of China (Nos. 11135011 and 11575190).

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Ruggieri, M., Peng, GX. Chiral phase transition of quark matter in the background of parallel electric and magnetic fields. NUCL SCI TECH 27, 130 (2016). https://doi.org/10.1007/s41365-016-0139-x

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