One-Loop Effective Action in Orbifold Compactifications
High Energy Physics - Theory
2014-11-18 v2 High Energy Physics - Phenomenology
Abstract
We employ the covariant background formalism to derive generic expressions for the one-loop effective action in field theoretic orbifold compactifications. The contribution of each orbifold sector is given by the effective action of its fixed torus with a shifted mass matrix. We thus study in detail the computation of the heat kernel on tori. Our formalism manifestly separates UV sensitive (local) from UV-insensitive (nonlocal) renormalization. To exemplify our methods, we study the effective potential of 6d gauge theory as well as kinetic terms for gravitational moduli in 11d supergravity.
Cite
@article{arxiv.0805.4542,
title = {One-Loop Effective Action in Orbifold Compactifications},
author = {Gero von Gersdorff},
journal= {arXiv preprint arXiv:0805.4542},
year = {2014}
}
Comments
30 pages, 1 figure, 3 tables, v2: appendix on zeta function regularization added, discussion of 6d example expanded, version to appear in JHEP