String techniques for the calculation of renormalization constants in field theory

Paolo Di Vecchia, Lorenzo Magnea, Alberto Lerda, Rodolfo Russo, Raffaele Marotta

Risultato della ricerca: Contributo su rivistaArticolo in rivistapeer review

Abstract

We describe a set of methods to calculate gauge theory renormalization constants from string theory, all based on a consistent prescription to continue off-shell open bosonic string amplitudes. We prove the consistency of our prescription by explicitly evaluating the renormalizations of the two-, three- and four-gluon amplitudes, and showing that they obey the appropriate Ward identities. The field theory limit thus performed corresponds to the background field method in Feynman gauge. We identify precisely the regions in string moduli space that correspond to different classes of Feynman diagrams, and in particular we show how to isolate contributions to the effective action. Ultraviolet divergent terms are then encoded in a single string integral over the modular parameter τ. Finally, we derive a multiloop expression for the effective action by computing the partition function of an open bosonic string interacting with an external non-abelian background gauge field.

Lingua originaleInglese
pagine (da-a)235-286
Numero di pagine52
RivistaNuclear Physics B
Volume469
Numero di pubblicazione1-2
DOI
Stato di pubblicazionePubblicato - 10 giu 1996
Pubblicato esternamente

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