Generalized Nonlinear $\Sigma$ Models With Gauge Invariance

Brezin, E.; Hikami, S.; Zinn-Justin, Jean

doi:10.1016/0550-3213(80)90047-4

Generalized Nonlinear $\Sigma$ Models With Gauge Invariance

E. Brezin
(
- Saclay
)
,
S. Hikami
(
- Kyoto U., Yukawa Inst., Kyoto
)
,
Jean Zinn-Justin
(
- Saclay
)

Jan, 1980

17 pages

Published in:

Nucl.Phys.B 165 (1980) 528-544

Published: 1980

DOI:

10.1016/0550-3213(80)90047-4

Report number:

SACLAY-DPh-T 79/135

reference search159 citations

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Abstract: (Elsevier)

Generalizations of the non-linear σ-model and of the CP N model are considered. They are invariant under a global group G and under a local gauge subgroup H. Whenever G/H defines a symmetric space, we can show that these models are asymptotically free. Furthermore, in two dimensions the local gauge invariance leads to confinement.

FIELD THEORETICAL MODEL: SIGMA
FIELD THEORETICAL MODEL: NONLINEAR
INVARIANCE: GAUGE
FIELD THEORY: TWO-DIMENSIONAL
RENORMALIZATION GROUP
QUANTIZATION
FIELD THEORY: ASYMPTOTIC FREEDOM
EXPANSION 1/N
FIELD THEORY: CRITICAL PHENOMENA
TEMPERATURE

References(14)

Figures(0)

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Generalized Nonlinear Σ\SigmaΣ Models With Gauge Invariance

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Generalized Nonlinear $\Sigma$ Models With Gauge Invariance