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Damiano Anselmi and Anna Benini JHEP10(2007)099 doi:10.1088/1126-6708/2007/10/099

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

Damiano Anselmi1,2 and Anna Benini3

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Abstract References Cited By
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.

Keywords

Renormalization Regularization and Renormalons

Models of Quantum Gravity

PACS

04.60.-m Quantum gravity

11.10.-z Field theory

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 10 (October 2007)

Received 22 August 2007, accepted for publication 16 October 2007

Published 30 October 2007



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