Non-extensive HTL corrections increase the Debye mass, weaken the heavy quark potential, and lower the predicted melting temperatures of J/Ψ and Υ, with a magnetic field opposing the effect.
Thermal Field Theory of the Tsallis statistics
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abstract
Classical and quantum Tsallis distributions have been widely used in many branches of natural and social sciences. But, the quantum field theory of the Tsallis distributions is relatively a less explored arena. In this article we derive the expression for the thermal two-point functions for the Tsallis statistics with the help of the corresponding statistical mechanical formulations. We 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, thermal mass of the real scalar bosons subjected to phi^4 interaction has been calculated in the Tsallis statistics.
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Non-extensive Hard Thermal Loop Resummation and Its Applications: Analysis in Zero and Finite Magnetic Fields
Non-extensive HTL corrections increase the Debye mass, weaken the heavy quark potential, and lower the predicted melting temperatures of J/Ψ and Υ, with a magnetic field opposing the effect.