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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

We study the effects of CP violation on the nature of the chiral transition within the linear sigma model with two flavors of quarks. The finite-temperature effective potential containing contributions from nontrivial values for the…

High Energy Physics - Phenomenology · Physics 2009-12-15 Ana Júlia Mizher , Eduardo S. Fraga

Using the PNJL model, we investigate C and P violations when theta =pi and Theta =mu/(iT)=\pi/3, where T, theta and mu are the temperature, the parameter of theta-vacuum and the quark number chemical potential, respectively. It is shown…

High Energy Physics - Phenomenology · Physics 2010-09-14 Hiroaki Kouno , Yuji Sakai , Takahiro Sasaki , Kouji Kashiwa , Masanobu Yahiro

We use the linear sigma model with quarks to study the QCD phase diagram from the point of view of chiral symmetry restoration. We compute the leading order effective potential for high and low temperatures and finite quark chemical…

High Energy Physics - Phenomenology · Physics 2018-01-31 Alejandro Ayala , Saul Hernandez-Ortiz , Luis A. Hernandez

We use the linear sigma model coupled to quarks, together with a plausible location of the critical end point (CEP), to study the chiral symmetry transition in the QCD phase diagram. We compute the effective potential at finite temperature…

High Energy Physics - Phenomenology · Physics 2017-08-02 Alejandro Ayala , Jorge David Castano-Yepes , J. J. Cobos-Martinez , Saul Hernandez-Ortiz , Ana Julia Mizher , Alfredo Raya

The chiral phase transition at a certain critical temperature is a restoration mechanism of the chiral symmetry, broken by the nonzero mass of quarks and mesons. The transition can be studied through several models, among which are the…

High Energy Physics - Phenomenology · Physics 2008-02-20 F. A. Correa , J. Morales

We investigate chiral symmetry breaking and strong CP violation effects in the phase diagram of strongly interacting matter. We demonstrate the effect of strong CP violating terms on the phase structure at finite temperature and densities…

High Energy Physics - Phenomenology · Physics 2015-06-03 Bhaswar Chatterjee , Hiranmaya Mishra , Amruta Mishra

The linear O($N$) sigma model undergoes a symmetry restoring phase transition at finite temperature. We show that the nonlinear O($N$) sigma model also undergoes a symmetry restoring phase transition; the critical temperatures are the same…

High Energy Physics - Phenomenology · Physics 2009-10-28 Alexander Bochkarev , Joseph Kapusta

We employ a new self-consistent mean field approximation of NJL model, which introduces a free parameter $\alpha$ ($\alpha$ reflects the weight of different interaction channels), to study the effects of the chiral chemical potential…

Nuclear Theory · Physics 2019-11-20 Li-Kang Yang , Xiaofeng Luo , Hong-Shi Zong

We consider thermal QCD in the large N_C limit, mainly in 1+1 dimensions. The gauge coupling is only taken into account to minimal order, by projection onto colour singlets. An expression for the free energy, exact as N_C goes to infinity,…

High Energy Physics - Phenomenology · Physics 2016-09-06 Joakim Hallin , David Persson

Recent studies on the 't Hooft anomaly matching condition have suggested a nontrivial phase structure in 4D SU($N$) gauge theory at $\theta=\pi$. In the large-$N$ limit, it has been found that CP symmetry at $\theta=\pi$ is broken in the…

High Energy Physics - Lattice · Physics 2023-01-11 Akira Matsumoto , Kohta Hatakeyama , Mitsuaki Hirasawa , Masazumi Honda , Jun Nishimura , Atis Yosprakob

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

The chiral phase transition at finite temperature is investigated in the linear sigma model, which is regarded as a low energy effective theory of QCD with three momentum cutoff, in the variational method with the Gaussian approximation in…

High Energy Physics - Phenomenology · Physics 2009-06-25 Y. Tsue , K. Matsuda

We study the large-N_c behavior of the critical temperature T_c for chiral symmetry restoration in the framework of the Nambu-Jona-Lasinio (NJL) model and the linear \sigma-model. While in the NJL case T_c scales as N_c^0 and is, as…

High Energy Physics - Phenomenology · Physics 2013-05-30 Achim Heinz , Francesco Giacosa , Dirk H. Rischke

The topological Lifshitz phase transition is studied systematically within an effective model of QCD, in which the chiral symmetry, broken at zero temperature, is not restored at high temperature and/or baryon chemical potential. It is…

High Energy Physics - Phenomenology · Physics 2013-12-02 Tran Huu Phat , Phung Thi Thu Ha , Nguyen Tuan Anh

In this Addendum to our recent paper, Phys. Rev. D 77, 054027 (2008), we point out that a chiral restoration phase transition in a quarkyonic matter at low temperatures is of second order within a manifestly confining and chirally symmetric…

High Energy Physics - Phenomenology · Physics 2008-06-04 L. Ya. Glozman , R. F. Wagenbrunn

As is well-known, spontaneous CP-violation in the strong interaction is possible at theta = pi, which is commonly referred to as Dashen's phenomenon. This phenomenon has been studied extensively using chiral Lagrangians. Here the two-flavor…

High Energy Physics - Phenomenology · Physics 2009-06-25 Jorn K. Boomsma , Daniel Boer

The chiral phase transition of a hot and dense system of quarks is studied within a modified SU(3) NJL lagrangian that implements the QCD scale anomaly. The u- and s-quark condensates can feel or not the same chiral restoration depending on…

Nuclear Theory · Physics 2009-10-30 J. Cugnon , M. Jaminon , B. Van den Bossche

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

The chiral phase transition at finite temperature is studied by using the Schwinger-Dyson equation in the dual Ginzburg-Landau theory, in which the dual Higgs mechanism plays an essential role on both the color confinement and the…

High Energy Physics - Phenomenology · Physics 2009-10-28 Shoichi Sasaki , Hideo Suganuma , Hiroshi Toki
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