Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 11, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP11(2018)007
Keywords
Bethe Ansatz; Integrable Field Theories
Categories
Funding
- INFN project SFT
- EU network GATIS+
- NSF [PHY-1620628]
- FCT [PTDC/MAT-PUR/30234/2017]
- Fundação para a Ciência e a Tecnologia [PTDC/MAT-PUR/30234/2017] Funding Source: FCT
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Surprising links between the deformation of 2D quantum field theories induced by the composite operator, effective string models and the AdS/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 p and n boundaries, which fully accounts for the TT contribution.
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