Relativistic Green functions in a plane wave gravitational background

Details Relativistic Green functions in a plane wave gravitational background Relativistic Green functions in a plane wave gravitational background

2007-01-11

arxiv.org/abs/hep-th/0701105v1

J.Phys.A40:9149-9164,2007

Physics

High Energy Physics

High Energy Physics - Theory

Last paper by Professor Arvind Narayan Vaidya, 18 pages, no figures

Scientific paper

10.1088/1751-8113/40/30/032

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.

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