Proper-time formalism in a constant magnetic field at finite temperature and chemical potential

Inagaki Tomohiro

Kimura Daiji

Murata Tsukasa

International Journal of Modern Physics A

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.

物理学 [ 420 ]

英語

World Scientific Publishing Company

Electronic version of an article published as International Journal of Modern Physics A Vol.20 No.20-21 pp.4995-5007 DOI:10.1142/S0217751X05025073 Copyright (c) 2005 World Scientific Publishing Company http://www.worldscientific.com/

[NCID] AA10669072

[ISSN] 0217-751X

[DOI] 10.1142/S0217751X05025073

[DOI] http://dx.doi.org10.1142/S0217751X05025073 ～の異版である