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We studied the chiral phase transition for small $|1-q|$ within the Tsallis nonextensive statistics of the entropic parameter $q$, where the quantity $|1-q|$ is the measure of the deviation from the Boltzmann-Gibbs statistics. We adopted…

High Energy Physics - Phenomenology · Physics 2019-07-04 Masamichi Ishihara

We studied chiral phase transitions in the Tsallis nonextensive statistics which has two parameters, the temperature $T$ and entropic parameter $q$. The linear sigma model was used in this study. The critical temperature, condensate,…

High Energy Physics - Phenomenology · Physics 2017-06-27 Masamichi Ishihara

The effects of the Tsallis distribution which has two parameters, $q$ and $T$,on physical quantities are studied using the linear sigma model in chiral phase transitions. The Tsallis distribution approaches the Boltzmann-Gibbs distribution…

High Energy Physics - Phenomenology · Physics 2015-11-10 Masamichi Ishihara

We studied the effects of the nonextensivity on the phase transition for the system of small volume $V$ in the $\phi^4$ theory in the Tsallis nonextensive statistics of entropic parameter $q$ and temperature $T$, when the deviation from the…

Statistical Mechanics · Physics 2018-04-25 Masamichi Ishihara

From the non-extensive statistical mechanics, we investigate the chiral phase transition at finite temperature $T$ and baryon chemical potential $\mu_B$ in the framework of the linear sigma model. The corresponding non-extensive…

Nuclear Theory · Physics 2017-12-01 Ke-Ming Shen , Hui Zhang , De-Fu Hou , Ben-Wei Zhang , En-Ke Wang

We study the chiral phase transition at finite temperature in the linear sigma model by employing a self-consistent Hartree approximation. This approximation is introduced by imposing self-consistency conditions on the effective meson mass…

Nuclear Theory · Physics 2009-10-30 Heui-Seol Roh , T. Matsui

The chiral phase transition is investigated within the framework of the linear sigma model at finite temperature. We concentrate on the meson sector of the model and calculate the finite temperature effective potential in the Hartree…

High Energy Physics - Phenomenology · Physics 2008-11-26 Nicholas Petropoulos

The chiral phase transition temperature $T_{c}^{0}$ is a fundamental quantity of QCD. To determine this quantity we have performed simulations of (2 + 1)-flavor QCD using the Highly Improved Staggered Quarks (HISQ/tree) action on…

We present updated studies on the chiral phase transition in $N_{f}=2+1$ QCD. Simulations have been carried out using Highly Improved Staggered Quarks (HISQ) on lattices with temporal extent $N_{\tau} = 6$ at vanishing baryon chemical…

High Energy Physics - Lattice · Physics 2017-02-07 Sheng-Tai Li , Heng-Tong Ding

We present here results on the determination of the critical temperature in the chiral limit for (2+1)-flavor QCD. We propose two novel estimators of the chiral critical temperature where quark mass dependence is strongly suppressed…

High Energy Physics - Lattice · Physics 2019-01-28 H. -T. Ding , P. Hegde , F. Karsch , A. Lahiri , S. -T. Li , S. Mukherjee , P. Petreczky

We applied the Tsallis statistics with the conventional expectation value to a system of free particles, adopting the equilibrium temperature which is often called the physical temperature. The entropic parameter $q$ in the Tsallis…

Statistical Mechanics · Physics 2026-05-14 Masamichi Ishihara

We investigate the thermal QCD phase transition and its scaling properties on the lattice. The simulations are performed with $N_f=2+1+1$ Wilson twisted mass fermions at pion masses from physical up to heavy quark regime. We introduce a…

High Energy Physics - Lattice · Physics 2022-04-12 A. Yu. Kotov , M. P. Lombardo , A. Trunin

Based on the two-flavor NJL model with Tsallis non-extensive statistics, this work explores the QCD phase structure and thermodynamic properties under strong magnetic fields and chiral imbalance. The Tsallis parameter $q$ captures…

High Energy Physics - Phenomenology · Physics 2026-05-25 Xiang-Qiong Liu , Sheng-Qin Feng

The ratio of the sigma mass to the pion mass at finite temperatures and densities provides for a quantitative signal of chiral symmetry breaking. We calculate this ratio by using an extension to finite chemical potential of the field…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Barducci , R. Casalbuoni , R. Gatto , G. Pettini

The chiral phase transition is investigated within the framework of thermal field theory using the O(N) linear sigma model as an effective theory. We calculate the thermal effective potential by using the Cornwall-Jackiw-Tomboulis formalism…

High Energy Physics - Phenomenology · Physics 2007-05-23 Nicholas Petropoulos

The parametric resonance was studied in chiral phase transitions when the momentum distribution is described by a Tsallis distribution. A Tsallis distribution has two parameters, the temperature $T$ and the entropic index $q$. The…

High Energy Physics - Phenomenology · Physics 2017-05-23 Masamichi Ishihara

We present a lattice QCD based determination of the chiral phase transition temperature in QCD with two degenerate, massless quarks and a physical strange quark mass. We propose and calculate two novel estimators for the chiral transition…

High Energy Physics - Lattice · Physics 2019-08-14 H. -T. Ding , P. Hegde , O. Kaczmarek , F. Karsch , Anirban Lahiri , S. -T. Li , Swagato Mukherjee , H. Ohno , P. Petreczky , C. Schmidt , P. Steinbrecher

In this work we address the question of how well the chiral crossover transition can be understood in terms of a noninteracting hadron resonance gas model. Using the latest results on the variation of hadron masses as a function of the pion…

High Energy Physics - Phenomenology · Physics 2022-10-24 Deeptak Biswas , Peter Petreczky , Sayantan Sharma

We studied multiple quantum harmonic oscillators in the Tsallis statistics of entropic parameter $q$ in the cases that the distributions are power-like, separately applying the conventional expectation value, the unnormalized…

Statistical Mechanics · Physics 2024-11-21 Masamichi Ishihara

The linear-$\sigma$ model has been widely used to describe the chiral phase transition. Numerically, the critical temperature $T_{c}$ of the chiral phase transition is in agreement with other effective theories of QCD. However, in the…

High Energy Physics - Phenomenology · Physics 2011-10-24 Achim Heinz
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