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• W1569249711 abstract "The ultraviolet divergences for vacuum graphs in the presence of arbitrary background fields and euclidean metric in curved space are determined for all two- and some three-loop graphs. The method is applicable to general field theories and can be extended to higher orders but is here applied to a general scalar theory to calculate the corresponding counterterms and associated β functions. The heat kernel is used to derive an expansion for the propagator that explicitly isolates the singular terms in the short-distance limit. With dimensional regularisation the poles in ϵ = 4−d are determined from explicit distribution formulae for the products of the singular functions that arise. The results maintain general covariance and generalise previous results for flat space. A justification for the continuation of integral expressions, in the presence of the arbitrary background, to general dimension d is given." @default.
• W1569249711 created "2016-06-24" @default.
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• W1569249711 date "1984-04-01" @default.
• W1569249711 modified "2023-09-26" @default.
• W1569249711 title "Background field calculations in curved spacetime" @default.
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• W1569249711 doi "https://doi.org/10.1016/0550-3213(84)90067-1" @default.
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