Is the temperature as a Lorentz scalar?

For the free Fermion gas at thermodynamic equilibrium, the temperature which represents the averaged kinetic energy is demonstrated to have the proper property which is invariant under the Lorentz boost, using the conceptions of the relativistic quantum field theory and statistical physics. The thermodynamic interaction is described by the coupling of particles with the vacuum of a scalar pseudo boson which features a self-interaction. The various measurement of the apparent temperature of a moving body is also investigated.