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Yang Baxter and anisotropic sigma and lambda models, cyclic RG and exact S-matrices

Calan Appadu, Timothy Hollowood Orcid Logo, Dafydd Price, Daniel Thompson Orcid Logo

Journal of High Energy Physics, Volume: 2017, Issue: 9

Swansea University Authors: Timothy Hollowood Orcid Logo, Daniel Thompson Orcid Logo

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DOI (Published version): 10.1007/JHEP09(2017)035

Abstract

Integrable deformation of SU(2) sigma and lambda models are considered at the classical and quantum levels. These are the Yang-Baxter and XXZ-type anisotropic deformations. The XXZ type deformations are UV safe in one regime, while in another regime, like the Yang-Baxter deformations, they exhibit c...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2017
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa35934
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Abstract: Integrable deformation of SU(2) sigma and lambda models are considered at the classical and quantum levels. These are the Yang-Baxter and XXZ-type anisotropic deformations. The XXZ type deformations are UV safe in one regime, while in another regime, like the Yang-Baxter deformations, they exhibit cyclic RG behaviour. The associated affine quantum group symmetry, realised classically at the Poisson bracket level, has q a complex phase in the UV safe regime and q real in the cyclic RG regime, where q is an RG invariant. Based on the symmetries and RG flow we propose exact factorisable S-matrices to describe the scattering of states in the lambda models, from which the sigma models follow by taking a limit and non-abelian T-duality. In the cyclic RG regimes, the S-matrices are periodic functions of rapidity, at large rapidity, and in the Yang-Baxter case violate parity.
Keywords: Integrable Field Theories; Quantum Groups; Sigma Models
College: Faculty of Science and Engineering
Issue: 9

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