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arXiv · hep-th/0701105

Relativistic Green functions in a plane wave gravitational background

A. N. Vaidya·C. Farina·M. S. Guimaraes·M. J. Neves
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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.

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A. N. Vaidya, C. Farina, M. S. Guimaraes, M. J. Neves. 2007-01-11. Relativistic Green functions in a plane wave gravitational background. https://doi.org/10.1088/1751-8113%2F40%2F30%2F032

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