$a_1$ meson-nucleon coupling constant at finite temperature from the soft-wall AdS/QCD model

Abstract

We study the temperature dependence of the $a_1$ meson-nucleon coupling constant in the framework of the soft-wall AdS/QCD model with thermal dilaton field. Profile functions for the axial-vector and fermion fields in the AdS-Schwarzschild metric are presented. It is constructed an interaction Lagrangian for the fermion-axial-vector-thermal dilaton fields system in the bulk of space-time. From this Lagrangian integral representation for the $g_{a_{1}NN}$ coupling constant is derived. The temperature dependence of this coupling constant is numerically analyzed.

Comments: 17 pages, match to published version