Background field calculations and nonrenormalization theorems in 4-D supersymmetric gauge theories and their low-dimensional descendants

Smilga, Andrei V.; Vainshtein, Arkady

doi:10.1016/j.nuclphysb.2004.10.010

Background field calculations and nonrenormalization theorems in 4-D supersymmetric gauge theories and their low-dimensional descendants

May, 2004

29 pages

Published in:

Nucl.Phys.B 704 (2005) 445-474

e-Print:

hep-th/0405142 [hep-th]

DOI:

10.1016/j.nuclphysb.2004.10.010

Report number:

FTPI-MINN-04-21,
UMN-TH-2310-04

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Abstract:

We analyze the structure of multiloop supergraphs contributing to the effective Lagrangians in 4d supersymmetric gauge theories and in the models obtained from them by dimensional reduction. When d=4, this gives the renormalization of the effective charge. For d < 4, the low-energy effective Lagrangian describes the metric on the moduli space of classical vacua. These two problems turn out to be closely related. In particular, we establish the relationship between the 4d nonrenormalization theorems (in minimal and extended supersymmetric theories) and their low--dimensional counterparts.

11.15.-q
11.30.Pb
11.15.Bt
gauge field theory: Yang-Mills
supersymmetry: superfield
Feynman graph: higher-order
background field
renormalization
dimensional reduction
moduli space

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