String techniques for the calculation of renormalization constants in field theory
Jan, 1996
53 pages
Published in:
- Nucl.Phys.B 469 (1996) 235-286
e-Print:
- hep-th/9601143 [hep-th]
Report number:
- DFTT-81-95,
- NORDITA-95-85-P
View in:
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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 . 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.Note:
- 54 pages, Latex, uses FEYNMAN.tex
- string model
- string model: boson
- scattering amplitude: higher-order
- higher-order: scattering amplitude
- renormalization
- gauge field theory: Yang-Mills
- partition function
- effective action
- analytic properties
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