Simplified vacuum energy expressions for radial backgrounds and domain walls

DOI10.1088/1751-8113/42/7/075402zbMATH Open1156.81029arXiv0812.0620OpenAlexW3101030916MaRDI QIDQ3612185

Publication date: 3 March 2009

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Abstract: We extend our previous results of simplified expressions for functional determinants for radial Schr"odinger operators to the computation of vacuum energy, or mass corrections, for static but spatially radial backgrounds, and for domain wall configurations. Our method is based on the zeta function approach to the Gel'fand-Yaglom theorem, suitably extended to higher dimensional systems on separable manifolds. We find new expressions that are easy to implement numerically, for both zero and nonzero temperature.

Full work available at URL: https://arxiv.org/abs/0812.0620

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

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