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- Title
Chiral phase transitions in the linear sigma model in the Tsallis nonextensive statistics.
- Authors
Ishihara, Masamichi
- Abstract
In this paper, we studied chiral phase transitions in the Tsallis nonextensive statistics which has two parameters, the temperature and entropic parameter . The linear sigma model was used in this study. The critical temperature, condensate, masses and energy density were calculated under the massless free particle approximation. The critical temperature decreases as increases. The condensate at is smaller than that at . The sigma mass at is heavier than the mass at at high temperature, while the sigma mass at is lighter than the mass at at low temperature. The pion mass at is heavier than the mass at . The energy density increases remarkably as increases. The dependence in the case of the -expectation value is weaker than that in the case of the conventional expectation value with a Tsallis distribution. The parameter should be smaller than from energetic point of view. The validity of the Tsallis statistics can be determined by the difference in of the restriction for when the interaction is weak, because the parameter is smaller than in the case of the conventional expectation value with a Tsallis distribution.
- Subjects
CHIRALITY of nuclear particles; PHASE transitions; TRANSITION temperature; SIGMA particles; ENERGY density; NUCLEAR physics
- Publication
International Journal of Modern Physics E: Nuclear Physics, 2016, Vol 25, Issue 9, p1
- ISSN
0218-3013
- Publication type
Article
- DOI
10.1142/S021830131650066X