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Sigma models for the high temperature phase transition in quantum chromodynamics (QCD) suggest that at high temperature the SU(N_f) x SU(N_f) chiral symmetry becomes exact, but the anomalous axial U(1) symmetry need not be restored. In…

We derive a non-local Nambu-Jona-Lasinio model from QCD with a form factor exactly obtained in the infrared limit. With this model, having all the parameters properly fixed through those of QCD, we consider the case of finite temperature…

High Energy Physics - Phenomenology · Physics 2015-03-19 Marco Frasca

In connection with massless two-flavour QCD, we analyse the chiral symmetry restoring phase transition using three distinct gluon-quark vertices and two different assumptions about the long-range part of the quark-quark interaction. In each…

Nuclear Theory · Physics 2014-08-29 Fei Gao , Si-Xue Qin , Yu-Xin Liu , Craig D. Roberts , Sebastian M. Schmidt

In this article we study restoration of chiral symmetry at finite temperature for quark matter with a chiral chemical potential, $\mu_5$, by means of a nonlocal Nambu-Jona-Lasinio model. This model allows to introduce in the simplest way…

High Energy Physics - Phenomenology · Physics 2016-11-23 M. Ruggieri , G. X. Peng

In the previous work, we have shown that the SU(2) chiral symmetry recovered above the critical temperature gives a strong constraint on the Dirac eigenvalue spectrum and this constraint is strong enough for a set of anomalous U(1) chiral…

High Energy Physics - Lattice · Physics 2013-12-06 Sinya Aoki , Hidenori Fukaya , Yusuke Taniguchi

Geometrical approach to the phenomenological theory of phase transitions of the second kind at constant pressure $P$ and variable temperature $T$ is proposed. Equilibrium states of a system at zero external field and fixed $P$ and $T$ are…

Condensed Matter · Physics 2019-08-17 A. K. Kanyuka , V. S. Glukhov

We suggest that for QCD in the limit of a large number of colors, N, the axial U(1) symmetry of massless quarks is effectively restored at the deconfining=chiral phase transition. If the deconfining transition is of second order, then the…

High Energy Physics - Phenomenology · Physics 2010-04-06 D. Kharzeev , R. D. Pisarski , M. H. G. Tytgat

In the present work, higher-order mesonic interactions are included in the linear sigma model at a finite temperature. The effective potential is minimized in the calculations of the sigma and pion effective masses. The field equations have…

High Energy Physics - Phenomenology · Physics 2013-11-11 M. Abu-Shady , H. Mansour

The three-dimensional four-fermion model with a Z_2 chiral symmetry and N=4 fermion species in the system is investigated numerically at non-zero temparature and chemical potential. The phase diagram in the (chemical potential, temperature)…

High Energy Physics - Lattice · Physics 2009-10-31 J. B. Kogut , C. G. Strouthos

The linear sigma model with quarks at very low temperatures provides an effective description for the thermodynamics of the strong interaction in cold and dense matter, being especially useful at densities found in compact stars and…

High Energy Physics - Phenomenology · Physics 2010-12-24 Leticia F. Palhares , Eduardo S. Fraga

Using the SU(3) Nambu-Jona-Lasinio (NJL) model, we study the chiral phase transition at finite $T$ and $\mu_B$. Special attention is given to the QCD critical end point (CEP): the study of physical quantities, as the pressure, the entropy,…

High Energy Physics - Phenomenology · Physics 2010-11-11 Pedro Costa

Broken gauge symmetries are typically restored at high temperature, and the leading-order result for the critical temperature $T_c$ was found many years ago by Weinberg and by Dolan and Jackiw. I find a simple expression for the…

High Energy Physics - Phenomenology · Physics 2010-02-16 Peter Arnold

We study, in the PNJL model, how the entropy of interacting quarks reflects the change in the effective degrees of freedom as the temperature increases through the quark-hadron phase transition. With inclusion of mesonic correlations, the…

High Energy Physics - Phenomenology · Physics 2015-06-22 Kanako Yamazaki , T. Matsui , Gordon Baym

We study a Yukawa theory with spontaneous chiral symmetry breaking and with a large number N of fermions near the finite temperature phase transition. Critical properties in such a system can be described by the mean field theory very close…

High Energy Physics - Lattice · Physics 2016-08-25 J. B. Kogut , M. A. Stephanov , C. G. Strouthos

We investigate the chiral phase transition at finite temperature (T) in colour SU(3) Quantum Chromodynamics (QCD) with six species of fermions (Nf = 6) in the fundamental representation. The simulations have been performed by using lattice…

High Energy Physics - Lattice · Physics 2011-11-07 Kohtaroh Miura , Maria Paola Lombardo , Elisabetta Pallante

The CP violation asymmetry parameters in $\Xi \to\pi\Lambda$ nonleptonic decays are presently being measured by the HyperCP experiment. In the study of these CP violation parameters, the strong $S$ and $P$ phase shifts for the $\pi\Lambda$…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. C. Barros

One of the confident predictions of QCD is that at sufficiently high temperature and/or density, hadronic matter should undergo a thermodynamic phase transition to a colour deconfined state of matter - popularly called the Quark-Gluon…

High Energy Physics - Phenomenology · Physics 2009-10-31 Sibaji Raha

In this paper, we study the effects of vorticity on the QCD phase transition using the Linear Sigma Model coupled to quarks. By going beyond the mean-field approximation and incorporating screening effects via ring diagrams, we explore the…

High Energy Physics - Phenomenology · Physics 2024-10-24 Luis A. Hernández , R. Zamora

CP(N-1) model with topological term is numerically studied. The topological charge distribution P(Q) is calculated and then transformed to the partition function Z($\theta$) as a function of $\theta$ parameter. In the strong coupling…

High Energy Physics - Lattice · Physics 2016-09-01 M. Imachi , S. Kanou , H. Yoneyama

We consider the Euclidean $D$-dimensional $-\lambda |\phi |^4+\eta |\phi |^6$ ($\lambda ,\eta >0 $) model with $d$ ($d\leq D$) compactified dimensions. Introducing temperature by means of the Ginzburg--Landau prescription in the mass term…

Soft Condensed Matter · Physics 2009-11-13 C. A. Linhares , A. P. C. Malbouisson , Y. W. Milla , I. Roditi
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