Simple way to calculate UV-finite one-loop quantum energy in Randall-Sundrum model
High Energy Physics - Theory
2017-04-12 v2
Abstract
The surprising simplicity of Barvinsky-Nesterov or equivalently Gelfand-Yaglom methods of calculation of quantum determinants permits to obtain compact expressions for UV-finite difference of one-loop quantum energies for two arbitrary values of parameter of the double-trace asymptotic boundary conditions. This result generalizes Gubser and Mitra calculation for particular case of difference of "regular" and "irregular" one-loop energies in one-brane RS-model. Approach developed in the paper also allows to get "in one line" the one-loop quantum energies in two-brane RS-model. The relationship between "one-loop" expressions corresponding to mixed Robin and to double-trace asymptotic boundary conditions is traced.
Keywords
Cite
@article{arxiv.1701.01541,
title = {Simple way to calculate UV-finite one-loop quantum energy in Randall-Sundrum model},
author = {Boris L. Altshuler},
journal= {arXiv preprint arXiv:1701.01541},
year = {2017}
}
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16 pages