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In this proceeding, we discuss the finite-size scaling analysis of the order parameter related to the chiral phase transition in QCD with two massless quarks. We use data obtained in lattice QCD calculations performed with highly improved…

High Energy Physics - Lattice · Physics 2026-04-01 Sabarnya Mitra , Jishnu Goswami , Frithjof Karsch

In characterizing the chiral phase-structure of pseudoscalars ($J^{pc}=0^{-+}$), scalars ($J^{pc}=0^{++}$), vectors ($J^{pc}=1^{--}$) and axial-vectors ($J^{pc}=1^{++}$) meson states and their dependence on temperature, chemical potential,…

High Energy Physics - Phenomenology · Physics 2019-04-09 Abdel Nasser Tawfik , Abdel Magied Diab , T. M. Hussein

Statistical mechanics of the discrete nonlinear Schr\"odinger equation is studied by means of analytical and numerical techniques. The lower bound of the Hamiltonian permits the construction of standard Gibbsian equilibrium measures for…

Statistical Mechanics · Physics 2009-10-31 K. Ø. Rasmussen , T. Cretegny , P. G. Kevrekidis , N. Grønbech-Jensen

The relativistic Hartree-BCS theory is applied to study the temperature dependence of nuclear shape and pairing gap for $^{166}Er$ and $^{170}Er$. For both the nuclei, we find that as temperature increases the pairing gap vanishes leading…

Nuclear Theory · Physics 2009-11-06 B. K. Agrawal , Tapas Sil , J. N. De , S. K. Samaddar

We calculate the chiral and thermal susceptibilities for two confining Dyson-Schwinger equation models of QCD with two light flavours, a quantitative analysis of which yields the critical exponents, beta and delta, that characterise the…

Nuclear Theory · Physics 2008-11-26 D. Blaschke , A. Hoell , C. D. Roberts , S. Schmidt

The Cornwall-Jackiw-Tomboulis (CJT) effective action for composite operators at finite temperature is used to investigate the chiral phase transition within the framework of the linear sigma model as the low-energy effective model of…

High Energy Physics - Phenomenology · Physics 2009-11-10 Tran Huu Phat , Nguyen Tuan Anh , Le Viet Hoa

We investigate the chiral phase transition at nonzero temperature $T$ and baryon-chemical potential $\mu_B$ within the framework of the linear sigma model and the Nambu-Jona-Lasinio model. For small bare quark masses we find in both models…

Nuclear Theory · Physics 2010-04-06 O. Scavenius , A. Mocsy , I. N. Mishustin , D. H. Rischke

This report is based on the work done together with J.B. Kogut and C.G. Strouthos. We study a Yukawa theory with spontaneous chiral symmetry breaking and with a large number N of fermions near the finite temperature phase transition.…

High Energy Physics - Lattice · Physics 2009-10-31 M. A. Stephanov

The nature of finite temperature transitions in lattice QCD with Wilson quarks is studied near the chiral limit for the cases of 2, 3, and 6 flavors of degenerate quarks ($N_F=2$, 3, and 6) and also for the case of massless up and down…

High Energy Physics - Lattice · Physics 2009-10-28 Y. Iwasaki , K. Kanaya , S. Kaya , S. Sakai , T. Yoshié

The temperature evolution of the chiral condensates in a gas made of pions, kaons and etas is studied within the framework of SU(2) and SU(3) Chiral Perturbation Theory. We describe the temperature dependence of the quark condensates by…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. R. Pelaez

Hadron yields in high energy heavy ion collisions have been fitted and reproduced by thermal models using standard statistical distributions. These models give insight into the freeze-out conditions at varying beam energies. In this paper…

High Energy Physics - Phenomenology · Physics 2010-01-15 J. Cleymans , G. Hamar , P. Levai , S. Wheaton

We study the temperature evolution of the quark-antiquark condensate below the chiral phase transition. The hadronic gas is described using a virial expansion within Generalized Chiral Perturbation Theory. In such way, we can implement both…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. R. Pelaez

We study the scaling behavior of the (2+1)-flavor QCD crossover region towards the chiral limit with smaller-than-physical light quark mass gauge ensembles, generated using the HISQ fermion discretization. At zero chemical potential, we…

High Energy Physics - Lattice · Physics 2022-07-14 Olaf Kaczmarek , Frithjof Karsch , Anirban Lahiri , Sheng-Tai Li , Mugdha Sarkar , Christian Schmidt , Philipp Scior

The basic form of the quark condensate for arbitrary values of external magnetic field and temperature, is derived using the field equations with account of confinement. The resulting expression of the chiral condensate is shown to be…

High Energy Physics - Phenomenology · Physics 2022-11-23 Yu. A. Simonov

We have applied the non-extensive statistical mechanics to free electrons in several metals to calculate the electronic specific heat at low temperature. In this case, the Fermi-Dirac (FD) function is modified from its Boltzmann-Gibbs (BG)…

Statistical Mechanics · Physics 2019-04-09 Arvind Khuntia , Gayatri Sahu , Raghunath Sahoo , Durga P. Mahapatra , Niranjan Barik

We investigate the effects of temperature $T$ and external magnetic fields $eB$ on the chiral condensates and screening masses of neutral pseudoscalar mesons, including $\pi^0$, $K^0$, and $\eta_{s\bar{s}}^0$, in (2+1)-flavor lattice QCD…

High Energy Physics - Lattice · Physics 2025-04-29 Heng-Tong Ding , Jin-Biao Gu , Sheng-Tai Li , Rishabh Thakkar

We consider chiral perturbation theory for SU(2) at finite temperature $T$ in a constant magnetic background $B$. We compute the thermal mass of the pions and the pion decay constant to leading order in chiral perturbation theory in the…

High Energy Physics - Phenomenology · Physics 2015-06-05 Jens O. Andersen

We have attempted an approach to the chiral phase transition of QCD using the linear sigma model as an effective theory. In order to get some insight into how the phase transition could proceed, we have calculated the finite temperature…

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

We apply the Broad Histogram Method to an Ising system in the context of the recently reformulated Generalized Thermostatistics, and we claim it to be a very efficient simulation tool for this non-extensive statistics. Results are obtained…

Statistical Mechanics · Physics 2015-06-25 A. R. Lima , J. S. Sá Martins , T. J. P. Penna

We re-analyze data from available finite-temperature QCD simulations near the chiral transition, with the help of Chiral Random Matrix Theory (chRMT). Statistical properties of the lowest-lying eigenvalues of the staggered Dirac operator…

High Energy Physics - Lattice · Physics 2009-10-31 F. Farchioni , Ph. de Forcrand , I. Hip , C. B. Lang , K. Splittorff
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