Non Relativistic Limit of Integrable QFT with fermionic excitations

Abstract

The aim of this paper is to investigate the non-relativistic limit of integrable quantum field theories with fermionic fields, such as the O(N) Gross-Neveu model, the supersymmetric Sinh-Gordon and non-linear sigma models. The non-relativistic limit of these theories is implemented by a double scaling limit which consists of sending the speed of light c to infinity and rescaling at the same time the relevant coupling constant of the model in such a way to have finite energy excitations. For the general purpose of mapping the space of continuous non-relativistic integrable models, this paper completes and integrates the analysis done in Ref.[1] on the non-relativistic limit of purely bosonic theories.

23 pages, 7 figures

References in corpus (3)

• Local Correlations in the Super Tonks-Girardeau Gas
• From the sine-Gordon field theory to the Kardar-Parisi-Zhang growth equation
• Non Relativistic Limit of Integrable QFT and Lieb-Liniger Models

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• Exact out-of-equilibrium steady states in the semiclassical limit of the interacting Bose gas
• Excitations in the Yang-Gaudin Bose gas
• Quantum quenches in the sinh-Gordon and Lieb-Liniger models
• Quantum Integrability and Quantum Groups: a special issue in memory of Petr P. Kulish