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We discuss the role of the U(1) axial symmetry for the phase structure of QCD at finite temperature. We expect that, above a certain critical temperature, also the U(1) axial symmetry will be (effectively) restored. We will try to see if…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. Marchi , E. Meggiolaro

We studied chiral phase transitions in the Tsallis nonextensive statistics which has two parameters, the temperature $T$ and entropic parameter $q$. The linear sigma model was used in this study. The critical temperature, condensate,…

High Energy Physics - Phenomenology · Physics 2017-06-27 Masamichi Ishihara

We reinvestigate the interesting phenomenon of symmetry nonrestoration at high temperature in the multifield O(N_1) X O(N_2) model. We apply modified self-consistent resummation (MSCR) in order to obtain the scalar dressed masses and find…

High Energy Physics - Phenomenology · Physics 2014-11-17 H. C. de Godoy Caldas

We investigate the critical behavior of three-dimensional relativistic fermion models with a U(N_L)_L x U(1)_R chiral symmetry reminiscent of the Higgs-Yukawa sector of the standard model of particle physics. We classify all possible…

High Energy Physics - Theory · Physics 2010-02-04 Holger Gies , Lukas Janssen , Stefan Rechenberger , Michael M. Scherer

The tricritical line of the first-order chiral phase transition is investigated in the U(Nf)xU(Nf) sigma model by means of the ring improved one-loop finite temperature effective potential. To locate the tricritical line in the space of the…

High Energy Physics - Phenomenology · Physics 2008-03-19 Junichiro Yasuda

With proper profiles of the scalar potential and the dilaton field, for the first time, the spontaneous chiral symmetry breaking in the vacuum and its restoration at finite temperature are correctly realized in the holographic QCD…

High Energy Physics - Phenomenology · Physics 2016-05-11 Kaddour Chelabi , Zhen Fang , Mei Huang , Danning Li , Yue-Liang Wu

We study the spontaneous breaking of chiral symmetry in an AdS spacetime at finite temperature using the quark-meson model. The condensate $\sigma$ is typically inhomogeneous in AdS and is determined from the differential gap equation. We…

Nuclear Theory · Physics 2026-05-06 Sergio Morales-Tejera

The chiral phase transition of the quark sector of QCD is investigated within the Hamiltonian approach in Coulomb gauge. Finite temperatures $T$ are introduced by compactifying one spatial dimension, which makes all thermodynamical…

High Energy Physics - Phenomenology · Physics 2018-10-19 Ehsan Ebadati , Hugo Reinhardt , Peter Vastag

We briefly review the nonlinear sigma model approach for the subject of increasing interest: "two-step" phase transitions in the Gross-Neveu and the modified Nambu-Jona-Lasinio models at low $N$ and condensation from pseudogap phase in…

High Energy Physics - Theory · Physics 2014-11-18 Egor Babaev

Multiple lattice evidences support the existence of a confining but chirally symmetric regime of QCD above the chiral symmetry restoration crossover at Tch ~ 155 MeV. This regime is characterised by an approximate chiral spin symmetry of…

High Energy Physics - Phenomenology · Physics 2024-05-08 L. Ya. Glozman , A. V. Nefediev , R. Wagenbrunn

The finite-temperature effective potential of the O(N) linear \sigma model is studied, with emphasis on the implications for the investigation of hot hadron dynamics. The contributions from all the ``bubble diagrams'' are fully taken into…

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

We investigate the restoration of chiral symmetry at finite temperature in the SU(2) quark meson model where the mean field approximation is compared to the renormalized version for quarks and mesons. In a combined approach at finite…

High Energy Physics - Phenomenology · Physics 2018-04-18 Andreas Zacchi , Jürgen Schaffner-Bielich

Chiral symmetry is an essential concept in understanding QCD at low energy. We treat the chiral condensate, which measures the spontaneous breaking of chiral symmetry, as a free parameter to investigate the effect of partially restored…

High Energy Physics - Phenomenology · Physics 2008-11-26 Youngman Kim , Hyun Kyu Lee

By the concurrent use of two different resummation methods, the composite operator formalism and the Dyson-Schwinger equation, we re-examinate the behavior at finite temperature of the O(N)-symmetric $\lambda\phi^{4}$ model in a generic…

High Energy Physics - Theory · Physics 2009-10-31 G. N. J. Añaños , A. P. C. Malbouisson , N. F. Svaiter

Criticality of chiral phase transition at finite temperature is investigated in a soft-wall AdS/QCD model with $SU_L(N_f)\times SU_R(N_f)$ symmetry, especially for $N_f=2,3$ and $N_f=2+1$. It is shown that in quark mass plane($m_{u/d}-m_s$)…

High Energy Physics - Phenomenology · Physics 2019-02-20 Jianwei Chen , Song He , Mei Huang , Danning Li

Using auxiliary-mass method, O(N) invariant scalar model is investigated at finite temperature. This mass and an evolution equation allow us to calculate an effective potential without an infrared divergence. Second order phase transition…

High Energy Physics - Phenomenology · Physics 2009-10-31 Kenzo Ogure , Joe Sato

The phase transition patterns displayed by a model of two coupled complex scalar fields are studied at finite temperature and chemical potential. Possible phenomena like symmetry persistence and inverse symmetry breaking at high…

High Energy Physics - Phenomenology · Physics 2023-02-24 Manuella C. Silva , Rudnei O. Ramos , Ricardo L. S. Farias

The ratio of the sigma mass to the pion mass at finite temperatures and densities provides for a quantitative signal of chiral symmetry breaking. We calculate this ratio by using an extension to finite chemical potential of the field…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Barducci , R. Casalbuoni , R. Gatto , G. Pettini

In this paper, we study in details the critical behavior of the ${\cal O}(n)$ quantum $\phi^4$ model with long-range interaction decaying with the distances r by a power law as $r^{-d-\sigma}$ in the large n-limit. The zero-temperature…

Statistical Mechanics · Physics 2008-11-26 Hassan Chamati , Nicholay S. Tonchev

N=1, D=4 non linear sigma models, parametrized by chiral superfields, usually describe Kaehlerian geometries, provided that Einstein frame supergravity is used. The sigma model metric is no longer Kaehler when local supersymmetry becomes…

High Energy Physics - Theory · Physics 2018-01-17 S. Ferrara , M. Porrati