Regularization dependence of vacuum energy in arbitrarily shaped cavities
- 1 January 1992
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 33 (1) , 222-228
- https://doi.org/10.1063/1.529948
Abstract
The vacuum energy for a free scalar field in the case of an arbitrarily shaped cavity is discussed. A complete analysis of the divergences is presented and some regularization schemes are analyzed in some detail. The vacuum energy for a free scalar field defined on an ultrastatic three‐dimensional space‐time R×S, S being a compact Riemann surface of genus greater than unity, is explicitly computed using the Selberg trace formula. As a result, a negative vacuum energy is found.Keywords
This publication has 37 references indexed in Scilit:
- The Asymptotics of The Laplacian on a Manifold with BoundaryCommunications in Partial Differential Equations, 1990
- Spectral functions, special functions and the Selberg zeta functionCommunications in Mathematical Physics, 1987
- Determinants of LaplaciansCommunications in Mathematical Physics, 1987
- Analytic torsion and closed geodesics on hyperbolic manifoldsInventiones Mathematicae, 1986
- Properties of the vacuum. I. Mechanical and thermodynamicAnnals of Physics, 1983
- Zero-point energy in bag modelsPhysical Review D, 1980
- Boundary effects in quantum field theoryPhysical Review D, 1979
- Collinear topological monopoles and topological linesJournal of Physics A: General Physics, 1978
- Zero-point energy of fields in a finite volumePhysical Review D, 1976
- On the analytic continuation of the Minakshisundaram-Pleijel zeta function for compact Riemann surfacesTransactions of the American Mathematical Society, 1975