In this thesis the photons rate for quarks interaction at the Bremsstrahlung process have been studies and investigation according to quantum cromodynamic and quantum picture theory. A two quarks wave function state and for initial and outgoing state in Hilbert space are assume to investigation to the quarks at bremsstrahlung. Photonic rate are evaluation depending on mathematical treatment of quarks interaction to evaluation the rate emission constant according to estimation strong coupling photons energies, flavor quantum number, colors quantum numbers, static electromagnetic coupling constant, color charge, electric charge, critical temperature and thermal energies for quarks system. | Theoretical study of photon transition for quark quark interaction at bremsstrahlung process