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Quantum Field Theories in Nonextensive Tsallis Statistics
Author(s) -
Hiroaki Kohyama,
A. Niégawa
Publication year - 2006
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.115.73
Subject(s) - physics , tsallis statistics , quantum statistical mechanics , quark–gluon plasma , perturbation theory (quantum mechanics) , boltzmann equation , quantum , quantum field theory , quark , field (mathematics) , statistical physics , statistics , particle physics , quantum electrodynamics , quantum mechanics , mathematics , pure mathematics
Within the framework of Tsallis statistics with q ~ 1, we construct aperturbation theory for treating relativistic quantum field systems. We findthat there appear initial correlations, which do not exist in theBoltzmann-Gibbs statistics. Applying this framework to a quark-gluon plasma, wefind that the so-called thermal masses of quarks and gluons are smaller than inthe case of Boltzmann-Gibbs statistics.Comment: 16 pages, no figure

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