Pillin, Mathias 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 Keywords:\(S\)-matrix; replica-thermalisation; integrable massive quantum field theories; form factors; deformed; \(\text{SU}(2)\)-invariant Thirring model; hypergeometric solutions; quantum Knizhnik-Zamolodchikov equation; multiperiodic Barnes functions PDFBibTeX XMLCite \textit{M. Pillin}, Math. Phys. Stud. 22, 247--255 (2000; Zbl 1032.81549)