Title of article
Dimensional regularization of the path integral in curved space on an infinite time interval
Author/Authors
F. Bastianelli، نويسنده , , O. Corradini، نويسنده , , P. van Nieuwenhuizen، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2000
Pages
9
From page
154
To page
162
Abstract
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 (VDR=ℏ28R) 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.
Journal title
PHYSICS LETTERS B
Serial Year
2000
Journal title
PHYSICS LETTERS B
Record number
913409
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