$a_{1}$ meson-nucleon coupling constant at finite temperature from the soft-wall AdS/QCD model

Abstract

We continue to study the temperature dependence of the meson-nucleon coupling constants and consider the axial-vector a 1 meson case. Profile functions for the axial-vector and fermion fields in the AdS-Schwarzschild metric are presented in the framework of the soft-wall AdS/QCD model with thermal dilaton field. Bulk interaction Lagrangian are constructed for the interacting fermion-axial-vector-thermal dilaton fields system. For the g a 1 N N coupling constant is obtained an integral representation and the temperature dependence of this coupling is analyzed numerically. I. INTRODUCTIONThe AdS/CFT correspondence is one of the most important discoveries in the modern theoretical physics. This principle states the equivalence of two different physical theories, a gravitational theory in the bulk of AdS space-time and a quantum field theory on the boundary of this spacetime. Moreover, the duality between the two theories is the strong-weak duality, which means that it relates the strong coupling sector of one theory to the weak coupling sector of the other one [1][2][3][4]. Further this duality was adapted to describe the low-energy dynamics of QCD and called as AdS/QCD [5-9]. There are two approaches in AdS/QCD: top-down and bottom-up ones.