HIGHER LOCAL QUANTUM CONSERVED CURRENTS IN TWO-DIMENSIONAL SCALAR SUPERSYMMETRIC MODELS

Nissimov, E.R.

doi:10.1016/0550-3213(80)90409-5

HIGHER LOCAL QUANTUM CONSERVED CURRENTS IN TWO-DIMENSIONAL SCALAR SUPERSYMMETRIC MODELS

E.R. Nissimov
(
- Sofiya, Inst. Nucl. Res.
)

1980

23 pages

Published in:

Nucl.Phys.B 163 (1980) 374-396

Published: 1980

DOI:

10.1016/0550-3213(80)90409-5

View in:

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Abstract: (Elsevier)

The class of two-dimensional scalar supersymmetric models with non-derivative self-interactions is investigated in the context of searching for higher local quantum conservation laws. Using Zimmermann's normal product algorithm in the explicitly supersymmetric formulation, it is shown (at least for weak coupling) that the supersymmetric sine-Gordon model is the only completely integrable model in the above class. The whole infinite set of higher local conserved quantum currents of the latter is constructed. The value β 2 = 4 π of the supersymmetric sine-Gordon coupling constant is shown to be critical in a sense analogous to the case β SG 2 = 8 π in the usual sine-Gordon model.

field theory: scalar
FIELD THEORY: TWO-DIMENSIONAL
FIELD THEORY: SUPERSYMMETRY
CURRENT: CONSERVATION LAW
sine-Gordon equation
COUPLING CONSTANT
FIELD THEORY: CRITICAL PHENOMENA
PERTURBATION THEORY
RENORMALIZATION

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Figures(0)

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