Quantum Field Theories in Nonextensive Tsallis Statistics

Abstract

Within the framework of Tsallis statistics with q ~ 1, we construct a perturbation theory for treating relativistic quantum field systems. We find that there appear initial correlations, which do not exist in the Boltzmann-Gibbs statistics. Applying this framework to a quark-gluon plasma, we find that the so-called thermal masses of quarks and gluons are smaller than in the case of Boltzmann-Gibbs statistics.

16 pages, no figures

References in corpus (4)

• Analyses of k_t distributions at RHIC by means of some selected statistical and stochastic models
• Remarks on $(1-q)$ expansion and factorization approximation in the Tsallis nonextensive statistical mechanics
• Path Integral Approach to the Nonextensive Canonical Density Matrix
• Quantum Corrections for Generalized Partition Functions

Cited by in corpus (8)

• Thermodynamics and relativistic kinetic theory for q-generalized Bose-Einstein and Fermi-Dirac systems
• Phase transition for the system of small volume in the ${\varphi }^4$ theory in the Tsallis nonextensive statistics
• Momentum distribution and correlation for a free scalar field in the Tsallis nonextensive statistics based on density operator
• Nonextensive lattice gauge theories: algorithms and methods
• Chiral phase transition within the linear sigma model in the Tsallis nonextensive statistics based on density operator
• Application of optimization method to the $x^4$ model in the Tsallis nonextensive statistics
• Environmental effects on the $x^4$ model in Tsallis statistics
• Thermal Field Theory of the Tsallis statistics