Non relativistic limit of integrable QFT with fermionic excitations. (12th May 2017)

• Record Type: Journal Article
• Authors: Bastianello, Alvise; De Luca, Andrea; Mussardo, Giuseppe
• Is Part Of: Journal of physics. Volume 50:Number 23(2017)
• Publication Date: 2017-05-12
• Subjects: integrable quantum field theories -- non-relativistic models -- Fermionic theories; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/aa6f69
• Languages: English
• ISSNs: 1751-8113

Abstract

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 Bastianello A et al (2016 J. Stat. Mech . 123104) on the non-relativistic limit of purely bosonic theories.