Massless factorized scattering and sigma models with topological terms

A. B. Zamolodchikov; Al B. Zamolodchikov

doi:10.1016/0550-3213(92)90136-Y

Massless factorized scattering and sigma models with topological terms

A. B. Zamolodchikov
, Al B. Zamolodchikov

Institute for Theoretical Physics

Rutgers - The State University of New Jersey, New Brunswick

Research output: Contribution to journal › Article › peer-review

206 Scopus citations

Abstract

We propose two massless non-diagonal scattering theories with SU(2) isotopic symmetry. While being identical in the right- and left-moving sectors, they differ in the right-left scattering. The first theory has reflectionless resonance right-left amplitudes and exhibits two independent (right and left) SU(2) symmetries. It is suggested as a scattering theory of the SU(2) × SU(2) principal chiral model with the Wess-Zumino term of level k = 1. In the second scattering theory only one SU(2) group survives at finite distances. We interpret this one as corresponding to the O(3) sigma model with the θ = π topological term. In both the cases the thermodynamic Bethe ansatz equations are derived.

Original language	English
Pages (from-to)	602-623
Number of pages	22
Journal	Nuclear Physics, Section B
Volume	379
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(92)90136-Y
State	Published - Jul 27 1992

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title = "Massless factorized scattering and sigma models with topological terms",

abstract = "We propose two massless non-diagonal scattering theories with SU(2) isotopic symmetry. While being identical in the right- and left-moving sectors, they differ in the right-left scattering. The first theory has reflectionless resonance right-left amplitudes and exhibits two independent (right and left) SU(2) symmetries. It is suggested as a scattering theory of the SU(2) × SU(2) principal chiral model with the Wess-Zumino term of level k = 1. In the second scattering theory only one SU(2) group survives at finite distances. We interpret this one as corresponding to the O(3) sigma model with the θ = π topological term. In both the cases the thermodynamic Bethe ansatz equations are derived.",

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T1 - Massless factorized scattering and sigma models with topological terms

AU - Zamolodchikov, A. B.

AU - Zamolodchikov, Al B.

PY - 1992/7/27

Y1 - 1992/7/27

N2 - We propose two massless non-diagonal scattering theories with SU(2) isotopic symmetry. While being identical in the right- and left-moving sectors, they differ in the right-left scattering. The first theory has reflectionless resonance right-left amplitudes and exhibits two independent (right and left) SU(2) symmetries. It is suggested as a scattering theory of the SU(2) × SU(2) principal chiral model with the Wess-Zumino term of level k = 1. In the second scattering theory only one SU(2) group survives at finite distances. We interpret this one as corresponding to the O(3) sigma model with the θ = π topological term. In both the cases the thermodynamic Bethe ansatz equations are derived.

AB - We propose two massless non-diagonal scattering theories with SU(2) isotopic symmetry. While being identical in the right- and left-moving sectors, they differ in the right-left scattering. The first theory has reflectionless resonance right-left amplitudes and exhibits two independent (right and left) SU(2) symmetries. It is suggested as a scattering theory of the SU(2) × SU(2) principal chiral model with the Wess-Zumino term of level k = 1. In the second scattering theory only one SU(2) group survives at finite distances. We interpret this one as corresponding to the O(3) sigma model with the θ = π topological term. In both the cases the thermodynamic Bethe ansatz equations are derived.

UR - https://www.scopus.com/pages/publications/0000594099

U2 - 10.1016/0550-3213(92)90136-Y

DO - 10.1016/0550-3213(92)90136-Y

M3 - Article

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SN - 0550-3213

VL - 379

SP - 602

EP - 623

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 3

ER -

Massless factorized scattering and sigma models with topological terms

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