Non relativistic limit of integrable QFT with fermionic excitations

Journal article

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.

Authors: Bastianello, A; De Luca, A; Mussardo, G

• Publication status: Published
• Peer review status: Peer reviewed
• Publisher: IOP Publishing
• Journal: Journal of Physics A: Mathematical and Theoretical
• Volume: 50
• Issue: 23
• Article number: 234002
• Publication date: 2017-05-12
• Acceptance date: 2017-04-26
• DOI: 10.1088/1751-8121/aa6f69
• EISSN: 1751-8121
• ISSN: 1751-8113
• Keywords: integrable quantum field theories; Fermionic theories; non-relativistic models