The Background Field Method and the Ultraviolet Structure of the Supersymmetric Nonlinear Sigma Model

Alvarez-Gaume, Luis; Freedman, Daniel Z.; Mukhi, Sunil

doi:10.1016/0003-4916(81)90006-3

The Background Field Method and the Ultraviolet Structure of the Supersymmetric Nonlinear Sigma Model

Luis Alvarez-Gaume
(
- MIT and
- SUNY, Stony Brook
)
,
Daniel Z. Freedman
(
- MIT and
- SUNY, Stony Brook
)
,
Sunil Mukhi
(
- SUNY, Stony Brook
)

Jan, 1981

50 pages

Published in:

Annals Phys. 134 (1981) 85

DOI:

10.1016/0003-4916(81)90006-3

Report number:

Print-81-0045 (MIT)

View in:

AMS MathSciNet

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Abstract: (Elsevier)

Calculations of the ultraviolet counterterms of the bosonic and supersymmetric nonlinear σ-models in two space-time dimensions are undertaken in order to verify conclusions of a recent argument based on differential geometry in the supersymmetric case. The background field method and the normal coordinate expansion are discussed in detail, and the generalized renormalization group pole equations applicable to the nonlinear σ-model are derived. Both component and superfield calculations of the counterterms are presented.

FIELD THEORETICAL MODEL: SIGMA
SUPERSYMMETRY
FIELD THEORY: NONLINEAR
FIELD THEORY: TWO-DIMENSIONAL
RENORMALIZATION: REGULARIZATION
RENORMALIZATION GROUP
GAUGE FIELD THEORY: BACKGROUND GAUGE
PERTURBATION THEORY: FEYNMAN GRAPH
MODEL: OFF-SHELL
FIELD THEORY: SPACE-TIME

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