THE ZERO MOMENTUM LIMIT OF THE VACUUM POLARIZATION AT FINITE TEMPERATURE

Publication Date

1990

Journal or Book Title

ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS

Abstract

We examine the zero momentum limit of the finite temperature vacuum polarization for a quantized scalar field coupled to a classical external field. Ordinarily, this type of Feynman diagram is plagued by nonanalytic behaviour when the external momentum tends to zero. Using imaginary-time, we show that this behaviour is not present in an exact background field solution and how the Feynman diagram calculation may be trivially modified to match the exact solution. Comparisons with recent real-time results are also made.

Comments

The published version is located at http://www.springerlink.com/content/x33551206866v865/

Pages

205-214

Volume

47

Issue

2

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