PROPER-TIME FORMALISM IN A CONSTANT MAGNETIC FIELD AT FINITE TEMPERATURE AND CHEMICAL POTENTIAL-Reference-Cited by-同舟云学术

PROPER-TIME FORMALISM IN A CONSTANT MAGNETIC FIELD AT FINITE TEMPERATURE AND CHEMICAL POTENTIAL

Published:2005-08-20 Issue:20n21 Volume:20 Page:4995-5007
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

INAGAKI TOMOHIRO¹,KIMURA DAIJI²,MURATA TSUKASA²

Affiliation:

1. Information Media Center, Hiroshima University, Higashi-Hiroshima, Hiroshima, 739-8521, Japan

2. Department of Physics, Hiroshima University, Higashi-Hiroshima, Hiroshima, 739-8526, Japan

Abstract

We investigate scalar and spinor field theories in a constant magnetic field at finite temperature and chemical potential. In an external constant magnetic field the exact solution of the two-point Green functions are obtained by using the Fock–Schwinger proper-time formalism. We extend it to the thermal field theory and find the expressions of the Green functions exactly for the temperature, the chemical potential and the magnetic field. For practical calculations the contour of the proper-time integral is carefully selected. The physical contour is discussed in a constant magnetic field at finite temperature and chemical potential. As an example, behavior of the vacuum self-energy is numerically evaluated for the free scalar and spinor fields.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217751X05025073

Reference11 articles.

1. Magnetic fields in the early Universe

2. On Gauge Invariance and Vacuum Polarization

3. “Proper Time” Method Calculation of the “One Loop” Thermodynamical Potential for QED in External Electromagnetic Field

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