Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-04-22
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.
Anselmi Damiano
Benini Anna
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