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On the deformation aspects of the replica thermalisation of the SU(2)-invariant Thirring model. (English) Zbl 1032.81549

Dito, Giuseppe (ed.) et al., Conférence Moshé Flato 1999: Quantization, deformations, and symmetries, Dijon, France, September 5-8, 1999. Volume II. Dordrecht: Kluwer Academic Publishers. Math. Phys. Stud. 22, 247-255 (2000).
Summary: We introduce an \(S\)-matrix preserving replica-thermalisation of integrable massive quantum field theories in \(1+ 1\)-dimensions within the context of form factors. The deformation character of the methods used therein is being highlighted. We then solve a deformed version of the \(\text{SU}(2)\)-invariant Thirring model employing hypergeometric solutions of the rational \(\text{sl}_2\)-type quantum Knizhnik-Zamolodchikov equation at generic level and multiperiodic Barnes functions.
For the entire collection see [Zbl 0949.00040].

MSC:

81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
32G34 Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation)
81R50 Quantum groups and related algebraic methods applied to problems in quantum theory
33C90 Applications of hypergeometric functions
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