Renormalization a La $B$.r.s. Of the Nonlinear $\sigma$ Model - INSPIRE

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Renormalization a La $B$ .r.s. Of the Nonlinear $\sigma$ Model

A. Blasi
(
- Genoa U.
)
,
R. Collina
(
- Genoa U.
)

1986

25 pages

Published in:

Nucl.Phys.B 285 (1987) 204-228

Published: 1987

DOI:

10.1016/0550-3213(87)90335-X

View in:

AMS MathSciNet

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Abstract: (Elsevier)

We characterize the non-linear O( N + 1) σ-model in an arbitrary parametrization with a nihilpotent BRS operator obtained from the symmetry transformation by the use of anticommuting parameters. The identity can be made compatible with the presence of a mass term in the model, so we can analyze its stability and prove that the model is anomaly free. This procedure avoids many problems encountered in the conventional analysis; in particular the introduction of an infinite number of sources coupled to the successive variations of the field is not necessary and the linear O( N ) symmetry is respected as a consequence of the identity. The approach may provide useful in discussing the renormalizability of a wider class of models with non-linear symmetries.

FIELD THEORETICAL MODEL: SIGMA
NONLINEAR
SYMMETRY: O(N)
TRANSFORMATION: BECCHI-ROUET-STORA
FIELD THEORY: TWO-DIMENSIONAL
RENORMALIZATION: REGULARIZATION
FIELD THEORY: PATH INTEGRAL
STABILITY

References(19)

Figures(0)

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