Equivalence of light-front and conventional thermal field theory

It is shown that light front thermal field theory is equivalent to the conventional one. The proof is based on the use of spectral representations, and applies to all Lagrangians for which such equivalence has been proven at zero temperature. It is also pointed out that conventional spectral functions can be used to express light-front finite temperature propagators. As an application of our approach we derive the light-front finite temperature fermion propagators in the full Dirac space