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The Schwinger model, one-dimensional quantum electrodynamics, has CP symmetry at $\theta = \pi$ due to the topological nature of the $\theta$ term. At zero temperature, it is known that as increasing the fermion mass, the system undergoes a…

High Energy Physics - Lattice · Physics 2023-12-29 Hiroki Ohata

We study QCD at finite temperature and non-zero chemical potential to derive the critical temperature at the chiral phase transition (crossover). We solve a set of Dyson--Schwinger partial differential equations using the exact solution for…

High Energy Physics - Phenomenology · Physics 2025-06-03 Arpan Chatterjee , Marco Frasca , Anish Ghoshal , Stefan Groote

We investigate QCD at finite temperature in the quark composites approach, which is based on the use of quark composites with hadronic quantum numbers as fundamental variables. We find that chiral symmetry restoration and quark…

High Energy Physics - Lattice · Physics 2015-06-25 Fabrizio Palumbo

The temperature behaviour of meson condensates $<\sigma_0>$ and $<\sigma_8>$ is calculated in the $SU(3)\times SU(3)$-linear sigma model. The couplings of the Lagrangian are fitted to the physical $\pi,K,\eta,\eta'$ masses, the pion decay…

High Energy Physics - Phenomenology · Physics 2010-11-01 D. Metzger , H. Meyer--Ortmanns , H. --J. Pirner

The search for a new source of CP violation is one of the most important endeavors in particle physics. A particularly interesting way to perform this search is to probe the CP phase in the $h\tau\tau$ coupling, as the phase is currently…

High Energy Physics - Phenomenology · Physics 2015-05-05 Andrew Askew , Prerit Jaiswal , Takemichi Okui , Harrison B. Prosper , Nobuo Sato

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

Motivated by the possibility of the formation of CP-odd domains in heavy ion collisions, we investigate the effects of CP violation on the chiral transition within the linear sigma model with two flavors of quarks. We also study how the…

High Energy Physics - Phenomenology · Physics 2010-04-21 Ana Júlia Mizher , Eduardo S. Fraga

We give a review of modern theoretical understanding of the physics of QCD at finite temperature. Three temperature regions are studied in details: the low temperature region where the system presents a rarefied pion gas and its properties…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. V. Smilga

The temperature of the chiral restoration phase transition at 130 MeV as well as the temperature of the center symmetry ("deconfinement") phase transition in a pure glue theory at 300 MeV are two independent temperatures and their interplay…

High Energy Physics - Lattice · Physics 2021-08-19 L. Ya. Glozman , Y. Aoki , S. Hashimoto , C. Rohrhofer

We use the linear sigma model coupled to quarks to explore the location of the phase transition lines in the QCD phase diagram from the point of view of chiral symmetry restoration at high temperature and baryon chemical potential. We…

High Energy Physics - Phenomenology · Physics 2020-03-18 Alejandro Ayala , Luis A. Hernandez , Marcelo Loewe , J. C. Rojas , Renato Zamora

We compute the transition temperature $T_c$ and the Ginzburg temperature $T_{\rm G}$ above $T_c$ near a quantum critical point at the boundary of an ordered phase with a broken discrete symmetry in a two-dimensional metallic electron…

Strongly Correlated Electrons · Physics 2011-08-18 J. Bauer , P. Jakubczyk , W. Metzner

We study the QCD phase diagram on the plane of temperature T and quark chemical potential mu, modelling the strong interactions with the linear sigma model coupled to quarks. The phase transition line is found from the effective potential…

High Energy Physics - Phenomenology · Physics 2015-12-09 Alejandro Ayala , Adnan Bashir , J. J. Cobos-Martinez , Saul Hernandez-Ortiz , Alfredo Raya

Chiral restoration at finite temperatures is studied in chiral quark models with non-local regulators. At the leading-N_c level we find transition temperatures of the order of 100MeV. Meson-loop contributions are also analyzed and found to…

High Energy Physics - Phenomenology · Physics 2007-05-23 Barbara Szczerbinska , Wojciech Broniowski

We study the QCD phase diagram using the linear sigma model coupled to quarks. We compute the effective potential at finite temperature and quark chemical potential up to ring diagrams contribution. We show that, provided the values for the…

High Energy Physics - Phenomenology · Physics 2018-03-14 Alejandro Ayala , Jorge David Castaño-Yepes , José Antonio Flores , Saúl Hernández , Luis Hernández

One may argue that QCD solves the strong CP problem by itself, without having to introduce new symmetries and particles. To test this idea, a lattice simulation is performed. The problem is investigated in the CP$^3$ model first. It is…

High Energy Physics - Lattice · Physics 2007-05-23 G. Schierholz

Using the ideas of effective field theory and dimensional reduction, we relate the parameters of two low energy models of QCD: the O(N) nonlinear sigma model in D=3+1, which describes the dynamics of cool pions, and the O(N) Heisenberg…

High Energy Physics - Theory · Physics 2007-05-23 Marcello B. Silva Neto

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

Nonperturbative flow equations within an effective linear sigma model coupled to constituent quarks for two quark flavors are derived and solved. A heat kernel regularization is employed for a renormalization group improved effective…

Nuclear Theory · Physics 2009-10-31 B. -J. Schaefer , H. -J. Pirner

Based on recent studies of the temperature dependence of the energy and specific heat of liquid nuclear matter, a phase transition is suggested at a temperature $\sim .8$ MeV. We apply Landau Ginzburg theory to this transition and determine…

Nuclear Theory · Physics 2009-10-30 R. A. Ritchie , H. G. Miller , F. C. Khanna

At high temperatures a four dimensional field theory is reduced to a three dimensional field theory. In this letter we consider the $\phi^4$ theory whose parameters are chosen so that a thermal phase transition occurs at a high temperature.…

High Energy Physics - Phenomenology · Physics 2015-06-25 Hidenori Sonoda