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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

We identify a quantum critical point with fractal symmetry whose effective theory eludes the renormalization group framework. We consider the Newman-Moore model with three-body interaction subjected to an external transverse field, which…

Strongly Correlated Electrons · Physics 2021-05-14 Zheng Zhou , Xue-Feng Zhang , Frank Pollmann , Yizhi You

Inhomogeneous chiral-symmetry breaking phases at non-vanishing chemical potential and temperature are studied within a two-flavor quark-meson model in the chiral limit. The analysis is performed beyond the standard mean-field approximation…

High Energy Physics - Phenomenology · Physics 2014-07-30 Stefano Carignano , Michael Buballa , Bernd-Jochen Schaefer

In order to quantify the universal properties of the chiral phase transition in (2+1)-flavor QCD, we make use of an improved, renormalized order parameter for chiral symmetry breaking which is obtained as a suitable difference of the…

High Energy Physics - Lattice · Physics 2024-11-28 Sabarnya Mitra , Frithjof Karsch , Sipaz Sharma

A canonical ensemble algorithm is employed to study the phase diagram of $N_f = 3$ QCD using lattice simulations. We lock in the desired quark number sector using an exact Fourier transform of the fermion determinant. We scan the phase…

High Energy Physics - Phenomenology · Physics 2011-12-01 Anyi Li , Andrei Alexandru , Keh-Fei Liu

We investigate the tricritical point in the lattice fermion--gauge--scalar model with U(1) gauge symmetry. In the vicinity of this point, in the phase with the broken chiral symmetry, we observe the scaling behavior of the chiral condensate…

High Energy Physics - Lattice · Physics 2009-10-28 W. Franzki , J. Jersák

The real-time dynamics of chiral phase transition is investigated in a two-flavor ($N_f=2$) soft-wall AdS/QCD model. To understand the dynamics of thermalization, we quench the system from initial states deviating from the equilibrium…

High Energy Physics - Phenomenology · Physics 2023-04-19 Xuanmin Cao , Jingyi Chao , Hui Liu , Danning Li

The order of the thermal phase transition in the chiral limit of Quantum Chromodynamics (QCD) with two dynamical flavors of quarks is a long-standing issue and still not known in the continuum limit. Whether the transition is first or…

High Energy Physics - Lattice · Physics 2016-11-09 Owe Philipsen , Christopher Pinke

This article gives details of our proposal to replace ordinary chiral $SU(3)_L\times SU(3)_R$ perturbation theory $\chi$PT$_3$ by 3-flavor chiral-scale perturbation theory $\chi$PT$_\sigma$. In $\chi$PT$_\sigma$, amplitudes are expanded at…

High Energy Physics - Phenomenology · Physics 2015-02-25 R. J. Crewther , Lewis C. Tunstall

In this work we deal with the critical behavior of the bulk viscosity in the linear sigma model (LSM) as an example of a system which can be treated by using different techniques. Starting from the Boltzmann-Uehling-Uhlenbeck equation we…

High Energy Physics - Phenomenology · Physics 2013-05-30 Antonio Dobado , Juan M. Torres-Rincon

Results on the thermal transition of QCD with 3 degenerate flavors, in the lower-left corner of the Columbia plot, are puzzling. The transition is expected to be first-order for massless quarks, and to remain so for a range of quark masses…

High Energy Physics - Lattice · Physics 2017-02-02 Philippe de Forcrand , Massimo D'Elia

The chiral phase boundary of nuclear matter is expected to have a critical point where the rapid crossover of lattice methods at zero chemical potential becomes a first-order phase transition. Phenomenological models based on the AdS/CFT…

High Energy Physics - Phenomenology · Physics 2024-04-17 Sean P. Bartz , Robert C. Meadows , Glenn Brock

The issues that arise when using the Cornwall-Jackiw-Tomboulis formalism in multi-field theories are investigated. Particular attention is devoted to the interplay between temperature effects, ultraviolet structure, and the interdependence…

High Energy Physics - Theory · Physics 2009-10-30 G. Amelino-Camelia

The 4D compact U(1) gauge theory has a well-established phase transition between a confining and a Coulomb phase. In this paper, we revisit this model using state-of-the-art Monte Carlo simulations on anisotropic lattices. We map out the…

High Energy Physics - Lattice · Physics 2024-04-25 Rafael C. Torres , Nuno Cardoso , Pedro Bicudo , Pedro Ribeiro , Paul McClarty

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

We study the chemical potential effects on the chiral phase transition in a simply improved soft-wall AdS/QCD model, which can realize consistently the properties of linear confinement and spontaneous chiral symmetry breaking. The $\mu-T$…

High Energy Physics - Phenomenology · Physics 2019-03-06 Zhen Fang , Yue-Liang Wu , Lin Zhang

We investigate the finite temperature QCD phase transition with three degenerate quark flavors using M\"{o}bius domain wall fermions. To explore the order of phase transition on the lower left corner of Columbia plot and if possible, to…

High Energy Physics - Lattice · Physics 2022-12-21 Yu Zhang , Yasumichi Aoki , Shoji Hashimoto , Issaku Kanamori , Takashi Kaneko , Yoshifumi Nakamura

Chiral symmetry breaking (ChSB) is reviewed to some extent within the quark-level-linear-sigma-model (QLL$\sigma$M) theory and standard chiral perturbation theory (ChPT). It is shown, on the basis of several examples related to the pion, as…

High Energy Physics - Phenomenology · Physics 2007-05-23 Michael D. Scadron , Frieder Kleefeld , George Rupp

Current quark mass effects on the chiral phase transition of QCD is studied in the improved ladder approximation. An infrared behavior of the gluon propagator is modified in terms of an effective running coupling. The analysis is based on a…

High Energy Physics - Phenomenology · Physics 2009-11-07 O. Kiriyama , M. Maruyama , F. Takagi

We propose a new algorithm to solve the quasi-Wigner solution of the gap equation beyond chiral limit. Employing a Gaussian gluon model and rainbow truncation, we find that the quasi-Wigner solution exists in a limited region of current…

High Energy Physics - Phenomenology · Physics 2018-09-26 Shu-Sheng Xu , Zhu-Fang Cui , An Sun , Hong-Shi Zong
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