Relativistic Green functions in a plane wave gravitational background
High Energy Physics - Theory
2008-11-26 v1
Abstract
We consider a massive relativistic particle in the background of a gravitational plane wave. The corresponding Green functions for both spinless and spin 1/2 cases, previously computed by A. Barducci and R. Giachetti \cite{Barducci3}, are reobtained here by alternative methods, as for example, the Fock-Schwinger proper-time method and the algebraic method. In analogy to the electromagnetic case, we show that for a gravitational plane wave background a semiclassical approach is also sufficient to provide the exact result, though the lagrangian involved is far from being a quadratic one.
Cite
@article{arxiv.hep-th/0701105,
title = {Relativistic Green functions in a plane wave gravitational background},
author = {A. N. Vaidya and C. Farina and M. S. Guimaraes and M. J. Neves},
journal= {arXiv preprint arXiv:hep-th/0701105},
year = {2008}
}
Comments
Last paper by Professor Arvind Narayan Vaidya, 18 pages, no figures