Improved Methods for Supergraphs

Grisaru, Marcus T.; Siegel, W.; Rocek, M.

doi:10.1016/0550-3213(79)90344-4

Improved Methods for Supergraphs

Jun, 1979

22 pages

Published in:

Nucl.Phys.B 159 (1979) 429

Published: 1979

DOI:

10.1016/0550-3213(79)90344-4

Report number:

PRINT-79-0485 (BRANDEIS)

View in:

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Abstract: (Elsevier)

We introduce some new techniques into superfield perturbation theory which allow considerable simplifications in calculations. As a result, we show that all contributions to the effective action can be written as integrals over a single d 4 θ. We also give the background group field formalism for supersymmetric non-abelian gauge theories. To illustrate our methods, we give examples of loop calculations: in particular, we show that in O(4) extended supersymmetric non-abelian gauge theories all one-loop propagator corrections cancel identically (both infinite and finite parts) and that these theories, at one loop, are finite and have no renormalizations (in the Fermi-Feynman gauge).

GAUGE FIELD THEORY: YANG-MILLS
COUPLING: MATTER
MATTER: COUPLING
SUPERSYMMETRY: SUPERFIELD
FEYNMAN GRAPH
FIELD THEORY: PATH INTEGRAL
FIELD THEORY: BACKGROUND FIELD
RENORMALIZATION: REGULARIZATION
RENORMALIZATION GROUP: CALLAN-SYMANZIK EQUATION

References(25)

Figures(0)

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