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

Abstract We study the temperature dependence of $$a_1$$ a 1 meson-nucleon coupling constant in framework soft-wall AdS/QCD model with thermal dilaton field. Profile functions for axial-vector and fermion fields AdS-Schwarzschild metric are presented. It is constructed an interaction Lagrangian fermion-axial-vector-thermal system bulk space-time. From this integral representation $$g_{a_1NN}$$ g N derived. The numerically analyzed.