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The relationship between mesonic correlations and quantum condensates in the quark matter phase diagram is explored within a quantum field theoretical approach of the Nambu and Jona-Lasinio (NJL) type. Mean-field values in the scalar meson…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. Zablocki , D. Blaschke , R. Anglani

We investigate the critical scaling of the quark propagator of N_f=2 QCD close to the chiral phase transition at finite temperature. We argue that it is mandatory to take into account the back-reaction effects of pions and the sigma onto…

High Energy Physics - Phenomenology · Physics 2013-05-29 Christian S. Fischer , Jens A. Mueller

The paper is devoted to the development of a microscopic description of the critical behavior of a cell fluid model with allowance for the contributions from collective variables with nonzero values of the wave vector. The mathematical…

Statistical Mechanics · Physics 2020-07-01 I. V. Pylyuk , O. A. Dobush

The appearance of a new phase of QCD, Quarkyonic Matter in the limit of large number of colors is studied within Nambu-Jona-Lassinio effective chiral model coupled to the Polyakov loop. The interplay of this novel QCD phase with chiral…

High Energy Physics - Phenomenology · Physics 2010-04-14 L. McLerran , K. Redlich , C. Sasaki

The behavior of $\pi^0$ meson properties in the presence of a uniform external magnetic field is studied in the context of a nonlocal extension of the Polyakov-Nambu-Jona-Lasinio model. The analysis includes the $\pi^0$ mass, the effective…

High Energy Physics - Phenomenology · Physics 2020-07-08 D. Gómez Dumm , M. F. Izzo Villafañe , N. N. Scoccola

We present a nonextensive version of the Polyakov-Nambu-Jona-Lasinio model which is based on the nonextentive statistical mechanics. This new statistics is characterized by a dimensionless nonextensivity parameter $q$ that accounts for all…

High Energy Physics - Phenomenology · Physics 2021-09-01 Ya-Peng Zhao , Shu-Yu Zuo , Cheng-Ming Li

Recent consensus on the $N_f=2+1$ equation of state at vanishing chemical potential from different lattice-QCD groups has spoiled the previous agreement with the outcome from the mean-field Polyakov-Nambu-Jona-Lasinio model. In this letter…

Nuclear Theory · Physics 2017-04-28 Juan M. Torres-Rincon , Joerg Aichelin

The chiral condensate and dressed Polyakov loop at finite temperature and density have been investigated in the framework of Nf = 2+1 Nambu-Jona-Lasinio (NJL) model with two degenerate u, d quarks and one strange quark. In the case of…

High Energy Physics - Phenomenology · Physics 2015-05-27 Fukun Xu , Hong Mao , Tamal K. Mukherjee , Mei Huang

The (2+1)D Georgi-Glashow (or Polyakov) model with the additional fundamental massless quarks is explored at finite temperature. In the case of vanishing Yukawa coupling, it is demonstrated that the interaction of a monopole and an…

High Energy Physics - Theory · Physics 2009-11-07 Nikita O. Agasian , Dmitri Antonov

We calculate the variation of the chiral condensate in medium with respect to the quark chemical potential and evaluate the pion-nucleon sigma term via the Hellmann-Feynman theorem. The variation of chiral condensate in medium are obtained…

Nuclear Theory · Physics 2020-03-27 Jing-Hui Huang , Ting-Ting Sun , Huan Chen

We apply the relative weights method to SU(3) gauge theory with staggered fermions of mass 695 MeV at a set of temperatures in the range $151 \le T \le 267$ MeV, to obtain an effective Polyakov line action at each temperature. We then apply…

High Energy Physics - Lattice · Physics 2018-06-13 Jeff Greensite , Roman Höllwieser

A fundamental drawback of kernel-based statistical models is their limited scalability to large data sets, which requires resorting to approximations. In this work, we focus on the popular Gaussian kernel and on techniques to linearize…

Machine Learning · Statistics 2022-04-13 Jonas Wacker , Maurizio Filippone

We present results on the QCD phase diagram for mu_B <= pi T. Our simulations are performed with an imaginary chemical potential mu_I for which the fermion determinant is positive. On an 8^3 x 4 lattice with 2 flavors of staggered quarks,…

High Energy Physics - Lattice · Physics 2010-04-05 Ph. de Forcrand , O. Philipsen

The quark-meson model is often used as an effective low-energy model for QCD to study the chiral transition at finite temperature $T$, baryon chemical potential $\mu_B$, and isospin chemical potential $\mu_I$. The parameters of the model…

High Energy Physics - Phenomenology · Physics 2018-04-18 Jens O. Andersen , Patrick Kneschke

A holographic model of QCD at finite temperature is proposed and thermal properties for light mesons are examined in terms of this model. We find interesting temperature dependences of masses and decay constants for several mesons, and…

High Energy Physics - Phenomenology · Physics 2009-11-11 Kazuo Ghoroku , Masanobu Yahiro

Within the framework of Polyakov-Nambu-Jona-Lasinio model and by means of Multiple Reflection Expansion, we study the finite volume effects on chiral phase transition, especially its influence on the location of the possible critical end…

High Energy Physics - Phenomenology · Physics 2018-12-27 Zhao Ya-Peng , Yin Pei-Lin , Yu Zhen-Hua , Zong Hong-Shi

By exploiting the well-known observation that size-biasing or zero-biasing an infinitely divisible random variable may be achieved by adding an independent increment, combined with tools from Stein's method for compound Poisson and Gaussian…

Probability · Mathematics 2025-12-11 Fraser Daly

We analyze the consequences of the inclusion of the gluonic Polyakov loop in chiral quark models at finite temperature. Specifically, the low-energy effective chiral Lagrangian from two such quark models is computed. The tree level vacuum…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Megias , E. Ruiz Arriola , L. L. Salcedo

We employ the linear sigma model to study the chiral dynamics of two flavors of quarks at finite temperature and density. Our calculations include thermal fluctuations of both the bosonic and fermionic fields. In particular, we determine…

Nuclear Theory · Physics 2009-11-18 J. I. Kapusta , E. S. Bowman

The properties of the two-flavored Gross-Neveu model in the (1+1)-dimensional spacetime are investigated in the presence of the isospin $\mu_I$ as well as quark number $\mu$ chemical potentials both at zero and nonzero temperatures. The…

High Energy Physics - Phenomenology · Physics 2013-05-29 D. Ebert , K. G. Klimenko