Exact S Matrices for Anomaly Free Nonlinear $\sigma$ Models on Symmetric Spaces

Abdalla, E.; Abdalla, M.C.B.; Forger, M.

doi:10.1016/0550-3213(88)90025-9

Exact S Matrices for Anomaly Free Nonlinear $\sigma$ Models on Symmetric Spaces

Sep, 1986

27 pages

Published in:

Nucl.Phys.B 297 (1988) 374-400

Published: Feb 8, 1988

DOI:

10.1016/0550-3213(88)90025-9

Report number:

CERN-TH-4559/86

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Abstract: (Elsevier)

The existence of a conserved quantum non-local charge is used to prove the factorization equations for the two-body S-matrix pertaining to the following five classical series of non-linear σ models on symmetric spaces: SU( N ) (A). SO( N ) (BD), Sp( N ) (C), SU( N )/SO( N ) (AI) and SU(2 N )/Sp( N ) (AII). For the last two cases, this proof is new. The relevant S -matrices are computed explicitly, and the bound state problem is discussed.

FIELD THEORETICAL MODEL: SIGMA
NONLINEAR
FIELD THEORY: TWO-DIMENSIONAL
ANOMALY
S-MATRIX: FACTORIZATION
BOUND STATE
QUANTIZATION
CHARGE: NONLOCAL

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Exact S Matrices for Anomaly Free Nonlinear σ\sigmaσ Models on Symmetric Spaces

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Exact S Matrices for Anomaly Free Nonlinear $\sigma$ Models on Symmetric Spaces