Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-01-26
Nucl.Phys. B469 (1996) 235-286
Physics
High Energy Physics
High Energy Physics - Theory
54 pages, Latex, uses FEYNMAN.tex
Scientific paper
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 $\tau$. 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.
Lerda Alberto
Magnea Lorenzo
Marotta Raffaele
Russo Remigio
Vecchia Paolo Di
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