A TT¯ -like deformation of the Skyrme model and the Heisenberg model of nucleon-nucleon scattering

• Autor(a) principal: Nastase, Horatiu [UNESP]
• Data de Publicação: 2021
• Outros Autores: Sonnenschein, Jacob
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://dx.doi.org/10.1007/JHEP05(2021)019; http://hdl.handle.net/11449/207691
• topic: Chiral Lagrangians; Effective Field Theories; Nonperturbative Effects; Solitons Monopoles and Instantons

The Skyrme model, though it admits correctly a wide range of static properties of the nucleon, does not seem to reproduce properly the scattering behavior of nucleons at high energies. In this paper we present a TT¯ -like deformation of it, inspired by a 1+1 dimensional model, in which boosted nucleons behave like shock waves. The scattering of the latter saturates the Froissart bound. We start by showing that 1+1 dimensional TT¯ deformations of the free abelian pion action are in fact generalizations of the old Heisenberg model for nucleon-nucleon scattering, yielding the same saturation of the Froissart bound. We then deform the strong coupling limit of the bosonized action of multi-flavor QCD in two dimensions using the TT¯ deformation of the WZW action with a mass term. We derive the classical soliton solution that corresponds to the nucleon, determine its mass and discuss its transformation into a shock-wave upon boosting. We uplift this action into a 3+1 dimensional TT¯ -like deformation of the Skyrme action. We compare this deformed action to that of chiral perturbation theory. A possible holographic gravity dual interpretation is explored.