Functional derivation of Casimir energy at non-zero temperature

Abstract

Performing functional integration of the free Lagrangian, we find the vacuum energy of a field. The functional integration is performed in a way which easily generalizes to systems at non-zero temperature. We use this technique to obtain the Casimir energy density and pressure at arbitrary temperatures.

Comments: 8 pages, Latex, uses epsf.sty for 1 embedded figure (some references added; no other significant change)