Phenomenological Tsallis distribution from thermal field theory

被引：5

作者：

Rahaman, Mahfuzur ^{[1
,2
]}

Bhattacharyya, Trambak ^{[3
]}

Alam, Jan-e ^{[1
,2
]}

机构：

[1] Variable Energy Cyclotron Ctr, 1-AF Bidhan Nagar, Kolkata 700064, India

[2] Homi Bhabha Natl Inst, Mumbai, Maharashtra, India

[3] Joint Inst Nucl Res, Bogoliubov Lab Theoret Phys, Dubna, Russia

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2021年 / 36卷 / 20期

关键词：

Tsallis distribution; nonextensive statistical mechanics; thermal field theory; NON-EXTENSIVE THERMODYNAMICS; STATISTICAL-MECHANICS; ANOMALOUS DIFFUSION; QUANTUM; ENTROPY;

D O I：

10.1142/S0217751X21501542

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

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 phi(4) scalar field theory within the realm of the Tsallis statistics.

引用

页数：26

共 95 条

[1] The thermal Green functions in nonextensive quantum statistical mechanics [J].

Abe, S .

EUROPEAN PHYSICAL JOURNAL B, 1999, 9 (04) :679-683

[2]

Abe S., 2000, Nonextensive Statistical Mechanics and Its Application

[3] Dynamical detailed balance and local KMS condition for non-equilibrium states [J].

Accardi, L ;

Imafuku, K .

INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2004, 18 (4-5) :435-467

[4] Production of deuterons, tritons, 3He nuclei, and their antinuclei in pp collisions at √s=0.9, 2.76, and 7 TeV [J].

Acharya, S. ;

Adam, J. ;

Adamova, D. ;

Adolfsson, J. ;

Aggarwal, M. M. ;

Rinella, G. Aglieri ;

Agnello, M. ;

Agrawal, N. ;

Ahammed, Z. ;

Ahmad, N. ;

Ahn, S. U. ;

Aiola, S. ;

Akindinov, A. ;

Al-Turany, M. ;

Alam, S. N. ;

Alba, J. L. B. ;

Albuquerque, D. S. D. ;

Aleksandrov, D. ;

Alessandro, B. ;

Molina, R. Alfaro ;

Alici, A. ;

Alkin, A. ;

Alme, J. ;

Alt, T. ;

Altenkamper, L. ;

Altsybeev, I. ;

Prado, C. Alves Garcia ;

Andrei, C. ;

Andreou, D. ;

Andrews, H. A. ;

Andronic, A. ;

Anguelov, V. ;

Anson, C. ;

Anticic, T. ;

Antinori, F. ;

Antonioli, P. ;

Anwar, R. ;

Aphecetche, L. ;

Appelshaeuser, H. ;

Arcelli, S. ;

Arnaldi, R. ;

Arnold, O. W. ;

Arsene, I. C. ;

Arslandok, M. ;

Audurier, B. ;

Augustinus, A. ;

Averbeck, R. ;

Azmi, M. D. ;

Badala, A. ;

Baek, Y. W. .

PHYSICAL REVIEW C, 2018, 97 (02)

[5] Measurement of neutral mesons in p plus p collisions at √s=200 GeV and scaling properties of hadron production [J].

Adare, A. ;

Afanasiev, S. ;

Aidala, C. ;

Ajitanand, N. N. ;

Akiba, Y. ;

Al-Bataineh, H. ;

Alexander, J. ;

Aoki, K. ;

Aphecetche, L. ;

Armendariz, R. ;

Aronson, S. H. ;

Asai, J. ;

Atomssa, E. T. ;

Averbeck, R. ;

Awes, T. C. ;

Azmoun, B. ;

Babintsev, V. ;

Bai, M. ;

Baksay, G. ;

Baksay, L. ;

Baldisseri, A. ;

Barish, K. N. ;

Barnes, P. D. ;

Bassalleck, B. ;

Basye, A. T. ;

Bathe, S. ;

Batsouli, S. ;

Baublis, V. ;

Baumann, C. ;

Bazilevsky, A. ;

Belikov, S. ;

Bennett, R. ;

Berdnikov, A. ;

Berdnikov, Y. ;

Bickley, A. A. ;

Boissevain, J. G. ;

Borel, H. ;

Boyle, K. ;

Brooks, M. L. ;

Buesching, H. ;

Bumazhnov, V. ;

Bunce, G. ;

Butsyk, S. ;

Camacho, C. M. ;

Campbell, S. ;

Chang, B. S. ;

Chang, W. C. ;

Charvet, J. -L. ;

Chernichenko, S. ;

Chiba, J. .

PHYSICAL REVIEW D, 2011, 83 (05)

[6]

[Anonymous], 2009, Introduction to Nonextensive Statistical Mechanics: Approaching a Complex World

[7]

Arfken G B, 2005, MATH METHODS PHYS

[8] Superstatistics and the effective QCD phase diagram [J].

Ayala, Alejandro ;

Hentschinski, Martin ;

Hernandez, L. A. ;

Loewe, M. ;

Zamora, R. .

PHYSICAL REVIEW D, 2018, 98 (11)

[9] Transverse momentum distributions in proton-proton collisions at LHC energies and Tsallis thermodynamics [J].

Azmi, M. D. ;

Cleymans, J. .

JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS, 2014, 41 (06)

[10] Generalized statistical mechanics of cosmic rays [J].

Beck, C .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 331 (1-2) :173-181

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