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Integrable sigma models and perturbed coset models

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arxiv hep-th/0101034 v1 pith:BO2LDHG5 submitted 2001-01-05 hep-th cond-mat.stat-mech

Paul Fendley This is my paper · ORCID
classification hep-thcond-mat.stat-mech
keywords modelstheoriesfreesigmaconformalcosetenergyfield
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Sigma models arise frequently in particle physics and condensed-matter physics as low-energy effective theories. In this paper I compute the exact free energy at any temperature in two hierarchies of integrable sigma models in two dimensions. These theories, the SU(N)/SO(N) and O(2P)/O(P) x O(P) models, are asymptotically free and exhibit charge fractionalization. When the instanton coupling theta=pi, they flow to the SU(N)_1 and O(2P)_1 conformal field theories, respectively. I also generalize the free energy computation to massive and massless perturbations of the coset conformal field theories SU(N)_k/SO(N)_{2k} and O(2P)_k/O(P)_k x O(P)_k.

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  1. The complete trans-series for conserved charges in integrable field theories

    hep-th 2025-01 conditional novelty 7.0 of 10

    A unified Wiener-Hopf construction gives all-order trans-series for conserved charges in O(N), SU(N), Lieb-Liniger, Gaudin-Yang and capacitor models, with numerically checked Borel resummation.

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