Improved Schwinger-DeWitt techniques for higher-derivative perturbations of operator determinants

Details Improved Schwinger-DeWitt techniques for higher-derivative perturbations of operator determinants Improved Schwinger-DeWitt techniques for higher-derivative perturbations of operator determinants

2007-04-22

arxiv.org/abs/0704.2840v2

JHEP0710:099,2007

Physics

High Energy Physics

High Energy Physics - Theory

18 pages

Scientific paper

10.1088/1126-6708/2007/10/099

We consider higher-derivative perturbations of quantum gravity and quantum field theories in curved space and investigate tools to calculate counterterms and short-distance expansions of Feynman diagrams. In the case of single higher-derivative insertions we derive a closed formula that relates the perturbed one-loop counterterms to the unperturbed Schwinger-DeWitt coefficients. In the more general case, we classify the contributions to the short-distance expansion and outline a number of simplification methods. Certain difficulties of the common differential technique in the presence of higher-derivative perturbations are avoided by a systematic use of the Campbell-Baker-Hausdorff formula, which in some cases reduces the computational effort considerably.

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