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Related papers: On the Chiral Phase Transition in the Linear Sigma…

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Working in the linear sigma model with quarks, we compute the finite-temperature effective potential in the presence of a weak magnetic field, including the contribution of the pion ring diagrams and considering the sigma as a classical…

High Energy Physics - Phenomenology · Physics 2014-11-18 Alejandro Ayala , Adnan Bashir , Alfredo Raya , Angel Sánchez

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 chiral phase transition in the linear sigma model with 2 quark flavors and $N_c$ colors. One-loop calculations predict a first-order phase transition at both $\mu=0$ and $\mu\neq 0$. We also discuss the phase diagram and make a…

High Energy Physics - Phenomenology · Physics 2014-11-17 Neven Bilic , Hrvoje Nikolic

The low temperature behaviour of the four-state chiral clock ($CC_4$) model is reexamined using a systematic low temperature series expansion of the free energy. Previously obtained results for the low temperature phases are corrected and…

Condensed Matter · Physics 2009-10-31 M. Pleimling , B. Neubert , R. Siems

We use the two-flavor Linear Sigma Model with quarks as an effective description of QCD to investigate the nature of the chiral phase transition at finite baryon chemical potential and zero temperature. We work at one-loop order to set up…

High Energy Physics - Phenomenology · Physics 2026-04-23 Alejandro Ayala , Bruno El-Bennich , Ricardo L. S. Farias , Luis A. Hernández , Bruno S. Lopes , Luis C. Parra L. , Renato Zamora

In this work we study the influence of external electric field and temperature on the chiral phase transition of Quantum Chromodynamics. We use the two-flavor Linear Sigma Model coupled with quarks (LSMq) in a thermal and electrized medium…

High Energy Physics - Phenomenology · Physics 2023-08-02 William R. Tavares , Sidney S. Avancini , Ricardo L. S. Farias

A detailed study of the thermodynamics of the O(N=3) model in 1+1 dimensions is presented, employing a two-particle-irreducible resummation prescription as well as fully nonperturbative finite-temperature lattice simulations. The analytical…

High Energy Physics - Phenomenology · Physics 2013-07-09 Elina Seel , Dominik Smith , Stefano Lottini , Francesco Giacosa

It is believed at present that the chiral transition changes from a smooth crossover to a first-order transition at low temperatures and high densities. Such regime is commonly analyzed using effective models since first principle…

Nuclear Theory · Physics 2025-11-20 R. M. Aguirre

We apply optimized perturbation theory to the quark-meson model at finite temperature T and quark chemical potential mu. The effective potential is calculated to one loop both in the chiral limit and at the physical point and used to study…

High Energy Physics - Phenomenology · Physics 2011-02-15 Jens O. Andersen , Rashid Khan , Lars T. Kyllingstad

We analyze the dynamical response functions of strongly interacting quantum critical states described by conformal field theories (CFTs). We construct a self-consistent holographic model that incorporates the relevant scalar operator…

High Energy Physics - Theory · Physics 2016-10-12 Robert C. Myers , Todd Sierens , William Witczak-Krempa

Some recent theoretical developments of the QCD phase diagram are summarized. Chiral symmetry restoration and the confinement/deconfinement transition at nonzero temperature and quark densities are analyzed in the framework of an effective…

High Energy Physics - Phenomenology · Physics 2012-11-08 Bernd-Jochen Schaefer , Mathias Wagner

The chiral phase transition at high temperature is investigated using the effect ive potential in the framework of the QCD-like gauge theory with a variational a pproach. We have a second order phase transition at $T_c=136$MeV. We also…

High Energy Physics - Phenomenology · Physics 2019-08-17 O. Kiriyama , M. Maruyama , F. Takagi

We discuss properties of Quantum Chromodynamics at finite temperature obtained by means of lattice simulations with overlap fermions. This fermion discretization preserves chiral symmetry even at finite lattice spacing. We present details…

High Energy Physics - Lattice · Physics 2024-01-08 Z. Fodor , A. Yu. Kotov , K. Szabo

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

By applying the closed-time-path Green function formalism to the chiral dynamical model based on an effective Lagrangian of chiral quarks with the nonlinear-realized meson fields as bosonized auxiliary fields, we then arrive at a chiral…

High Energy Physics - Phenomenology · Physics 2012-03-02 Da Huang , Yue-Liang Wu

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 analyze the phase diagram of compact QED on the torus with a chirally symmetric four fermion interaction added to the usual Wilson action. Inside a mean field approximation for the four fermion term, a line of first order phase…

High Energy Physics - Lattice · Physics 2016-09-01 Vicente Azcoiti , Giuseppe Di Carlo , Angelo Galante , Aurelio Grillo , Victor Laliena

We investigate the finite-temperature phase structure and the scaling of the chiral condensate in lattice QCD with two degenerate light quarks, using a renormalization group improved gauge action and the Wilson quark action. We obtain a…

High Energy Physics - Lattice · Physics 2009-10-30 S. Aoki , Y. Iwasaki , K. Kanaya , S. Kaya , A. Ukawa , T. Yoshié

The surface tension of cold and dense QCD phase transitions has appeared recently as a key ingredient in different astrophysical scenarios, ranging from core-colapse supernovae explosions to compact star structure. If the surface tension is…

High Energy Physics - Phenomenology · Physics 2015-03-19 L. F. Palhares , E. S. Fraga

We investigate the chiral phase transition in the quark-meson effective model using optimised perturbation theory to one loop. Certain terms in the free energy are frequently omitted in calculations, on the assumption that their…

High Energy Physics - Phenomenology · Physics 2011-07-13 Rashid Khan , Lars T. Kyllingstad