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 paper, we derive the expression for the thermal two-point functions in 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, we calculate the thermal mass in the $ϕ^{4}$ scalar field theory within the realm of the Tsallis statistics.

Keywords:

PACS: 11.10.Wx, 12.38.Mh

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Vol. 36, No. 20

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Received 8 December 2020

Revised 9 June 2021

Accepted 16 June 2021

Published: 14 July 2021

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Phenomenological Tsallis distribution from thermal field theory

Abstract

References

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Phenomenological Tsallis distribution from thermal field theory

Abstract

References

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