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

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dc.creatorAnselmi, Damiano
dc.creatorBenini, Anna
dc.date2007-04-22
dc.date2007-11-02
dc.date.accessioned2026-07-07T11:56:40Z
dc.date.available2026-07-07T11:56:40Z
dc.descriptionWe 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.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0704.2840
dc.identifierhttp://arxiv.org/abs/0704.2840
dc.identifierJHEP0710:099,2007
dc.identifierdoi:10.1088/1126-6708/2007/10/099
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205614
dc.subjectHigh Energy Physics - Theory
dc.titleImproved Schwinger-DeWitt techniques for higher-derivative perturbations of operator determinants
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