On electric fields in hot QCD: perturbation theory

Abstract

We investigate the response of a hot gas of quarks to external electric fields via leading-order perturbation theory. In particular, we discuss how equilibrium is maintained in the presence of the electric field and calculate the electric susceptibility, providing its high-temperature expansion for arbitrary quark mass. Furthermore, we point out that there is a mismatch between this, direct determination of the susceptibility at zero field and the weak-field expansion of the effective action at nonzero electric fields, as obtained using Schwinger's exact propagator. We discuss the origin of this mismatch and elaborate on the generalization of our results to full QCD in electric fields.

arXiv comment16 pages, 4 figures, published version

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Cited by in corpus (6)

• Strong-Field Physics in QED and QCD: From Fundamentals to Applications
• Thermal QCD in a non-uniform magnetic background
• Quark matter under strong electric fields in the Linear Sigma Model coupled with quarks
• Study of the effects of external imaginary electric field and chiral chemical potential on quark matter
• Power corrections to the photon polarization tensor in a hot and dense medium of massive fermions
• On electric fields in hot QCD: infrared regularization dependence