Dimensional regularization of the path integral in curved space on an infinite time interval

Details Dimensional regularization of the path integral in curved space on an infinite time interval Dimensional regularization of the path integral in curved space on an infinite time interval

2000-07-13

arxiv.org/abs/hep-th/0007105v1

Phys.Lett. B490 (2000) 154-162

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 10 figures, LaTeX

Scientific paper

10.1016/S0370-2693(00)00978-3

We use dimensional regularization to evaluate quantum mechanical path integrals in arbitrary curved spaces on an infinite time interval. We perform 3-loop calculations in Riemann normal coordinates, and 2-loop calculations in general coordinates. It is shown that one only needs a covariant two-loop counterterm (V_{DR} = R/8) to obtain the same results as obtained earlier in other regularization schemes. It is also shown that the mass term needed in order to avoid infrared divergences explicitly breaks general covariance in the final result.

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