Generalised Born-Infeld models, Lax operators and the \(T\overline{T}\) perturbation
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Publication:1635105
DOI10.1007/JHEP11(2018)007zbMATH Open1404.81222arXiv1806.11515OpenAlexW3122931677MaRDI QIDQ1635105
Author name not available (Why is that?)
Publication date: 18 December 2018
Published in: (Search for Journal in Brave)
Abstract: Surprising links between the deformation of 2D quantum field theories induced by the composite operator, effective string models and the CFT correspondence, have recently emerged. The purpose of this article is to discuss various classical aspects related to the deformation of 2D interacting field theories. Special attention is given to the sin(h)-Gordon model, for which we were able to construct the -deformed Lax pair. We consider the Lax pair formulation to be the first essential step toward a more satisfactory geometrical interpretation of this deformation within the integrable model framework. Furthermore, it is shown that the 4D Maxwell-Born-Infeld theory, possibly with the addition of a mass term or a derivative-independent potential, corresponds to a natural extension of the 2D examples. Finally, we briefly comment on 2D Yang-Mills theory and propose a modification of the heat kernel, for a generic surface with genus and boundaries, which fully accounts for the contribution.
Full work available at URL: https://arxiv.org/abs/1806.11515
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