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We compute the finite temperature induced fermion number for fermions coupled to a static nonlinear sigma model background in (2+1) dimensions, in the derivative expansion limit. While the zero temperature induced fermion number is well…

High Energy Physics - Theory · Physics 2009-11-07 Gerald V. Dunne , Justo Lopez-Sarrion , Kumar Rao

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

Quantum chromodynamics has a rather complicated phase structure. The finite temperature, chiral phase structure depends on the number of flavours and to a large extent on the particular values of the fermion masses. For two massless…

High Energy Physics - Lattice · Physics 2009-10-30 T. Reisz

The Thirring model is a four-fermion theory with a current-current interaction and $U(2N)$ chiral symmetry. It is closely related to three-dimensional QED and other models used to describe properties of graphene. In addition it serves as a…

High Energy Physics - Lattice · Physics 2017-11-15 Björn H. Wellegehausen , Daniel Schmidt , Andreas Wipf

We study the Schwinger model at finite temperature and show that a temperature dependent chiral anomaly may arise from the long distance behavior of the electric field. At high temperature this anomaly depends linearly on the temperature…

High Energy Physics - Theory · Physics 2011-02-16 Ashok Das , J. Frenkel

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

The structure of chiral symmetry restorations at finite temperature is thoroughly investigated in the supersymmetric Nambu-Jona-Lasinio model with a soft supersymmetry breaking term. It is found that the broken chiral symmetry at vanishing…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. Hashida , T. Muta , K. Ohkura

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

In this paper we investigate the influence of a constant external magnetic field on the finite-temperature phase structure and the chiral properties of a simplified lattice model for QCD. We assume an SU(2) gauge symmetry and employ…

High Energy Physics - Lattice · Physics 2012-06-15 E. -M. Ilgenfritz , M. Kalinowski , M. Muller-Preussker , B. Petersson , A. Schreiber

We study the effect of periodic boundary conditions on chiral symmetry breaking and its restoration in Quantum Chromodynamics. As an effective model of the effective potential for the quark condensate, we use the quark-meson model, while…

High Energy Physics - Phenomenology · Physics 2020-12-15 Shen-Song Wan , Daize Li , Bonan Zhang , Marco Ruggieri

In this paper we develop a new method that is different from Schwinger proper time method to deduce the fermion propagator with a constant external magnetic field. In the NJL model, we use this method to find out the gap equation at zero…

High Energy Physics - Phenomenology · Physics 2015-03-03 Song Shi , You-Chang Yang , Yong-Hui Xia , Zhu-Fang Cui , Xiao-Jun Liu , Hong-Shi Zong

We analyze the approach to chiral symmetry breaking in QCD at finite temperature, using the functional renormalization group. We compute the running gauge coupling in QCD for all temperatures and scales within a simple truncated…

High Energy Physics - Phenomenology · Physics 2009-11-11 Jens Braun , Holger Gies

We study the chiral phase transition at $T\neq 0$ in the dual Ginzburg-Landau theory using the Schwinger-Dyson (SD) equation. In order to solve the SD equation at $T\neq 0$, we provide a new ansatz for the quark self-energy in the…

High Energy Physics - Phenomenology · Physics 2016-09-06 Shoichi Sasaki , Hideo Suganuma , Hiroshi Toki

When the number of massless fermions exceeds a critical value $N_f^*$, QCD enters the conformal window and becomes chirally symmetric already in the vacuum. Determining $N_f^*$ from lattice simulations is challenging, since calculations are…

High Energy Physics - Lattice · Physics 2026-03-23 Jan Philipp Klinger , Reinhold Kaiser , Owe Philipsen , Jonas Schaible

We consider the simulation of finite temperature QCD with two flavors of dynamical overlap fermions in order to study the suppression of the axial U(1) symmetry breaking at the chiral phase transition point. As a preliminary study, pure…

High Energy Physics - Lattice · Physics 2012-04-23 Guido Cossu , Sinya Aoki , Shoji Hashimoto , Takashi Kaneko , Hideo Matsufuru , Jun-ichi Noaki , Eigo Shintani

Fermion determinant is computed analytically on extremely large lattices $% N_\tau \to \infty $ in the toy model approximation in which action is truncated so that in the Hamiltonian limit of $a_\tau \to 0$ all terms of order $a_\tau…

High Energy Physics - Lattice · Physics 2007-05-23 V. K. Petrov

The critical temperature and the nature of the QCD finite temperature phase transition are determined for Nf=2 dynamical flavors of nonperturbatively improved Wilson fermions. The calculations are performed on large lattices with temporal…

High Energy Physics - Lattice · Physics 2014-11-20 V. G. Bornyakov , R. Horsley , S. M. Morozov , Y. Nakamura , M. I. Polikarpov , P. E. L. Rakow , G. Schierholz , T. Suzuki

Holographic models in the T=0 universality class of QCD in the limit of large number N_c of colors and N_f massless fermion flavors, but constant ratio x_f=N_f/N_c, are analyzed at finite temperature. The models contain a 5-dimensional…

High Energy Physics - Phenomenology · Physics 2015-06-11 T. Alho , M. Jarvinen , K. Kajantie , E. Kiritsis , K. Tuominen

We present results of a Monte Carlo simulation of the three dimensional Thirring model with the number of fermion flavors N_f varied between 2 and 18. By identifying the lattice coupling at which the chiral condensate peaks, simulations are…

High Energy Physics - Lattice · Physics 2008-09-22 Stavros Christofi , Simon Hands , Costas Strouthos

The chiral phase transition of the strongly interacting matter is investigated at nonzero temperature and baryon chemical potential mu_B within an extended (2+1) flavor Polyakov constituent quark-meson model which incorporates the effect of…

High Energy Physics - Phenomenology · Physics 2016-09-09 Peter Kovács , Zsolt Szép , György Wolf