Classical and quantum Tsallis distributions have been widely used in many branches of natural sciences. But, the quantum field theory of the Tsallis distributions is relatively a less explored arena. In the article arXiv:1906.02893v2 [hep-ph], we derived the expressions for the thermal two-point functions for the Tsallis statistics with the help of the corresponding statistical mechanical formulations. In the conference, we will show that the quantum Tsallis distributions used in the literature appear in the thermal part of the propagator much in the same way the Boltzmann-Gibbs distributions appear in the conventional thermal field theory. As an application of our findings, the thermal mass in the $ \phi^4 $ scalar field theory within the realm of the Tsallis statistics will also be discussed. For small system like quark gluon plasma (QGP) where the application of Boltzmann-Gibbsstatistics is uncertain, the thermal field theoretic formulation developed in this work for Tsallis statistics will have crucial importance. The thermal spectral function of quarks and gluons estimated using BG and Tsallis statistics will differ (as the case for $ \phi^4 $ interaction) which may have significant impact on the signals of QGP.