Divergences in the Effective Action for Acausal Spacetimes
General Relativity and Quantum Cosmology
2009-10-30 v1
Abstract
The 1--loop effective Lagrangian for a massive scalar field on an arbitrary causality violating spacetime is calculated using the methods of Euclidean quantum field theory in curved spacetime. Fields of spin 1/2, spin 1 and twisted field configurations are also considered. In general, we find that the Lagrangian diverges to minus infinity at each of the nth polarised hypersurfaces of the spacetime with a structure governed by a DeWitt-Schwinger type expansion.
Cite
@article{arxiv.gr-qc/9705075,
title = {Divergences in the Effective Action for Acausal Spacetimes},
author = {M. J. Cassidy},
journal= {arXiv preprint arXiv:gr-qc/9705075},
year = {2009}
}
Comments
17 pages, Latex