Quantum scalar fields in the half-line. A heat kernel/zeta function approach

Details Quantum scalar fields in the half-line. A heat kernel/zeta function approach Quantum scalar fields in the half-line. A heat kernel/zeta function approach

2009-07-16

arxiv.org/abs/0907.2885v1

Mathematical Physics and Field Theory, Julio Abad, in memoriam. PUZ June 2009, 277-287

Physics

Mathematical Physics

Latex file, 11 pages, 7 figures

Scientific paper

In this paper we shall study vacuum fluctuations of a single scalar field
with Dirichlet boundary conditions in a finite but very long line. The spectral
heat kernel, the heat partition function and the spectral zeta function are
calculated in terms of Riemann Theta functions, the error function, and
hypergeometric PFQ functions.

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