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The topological Lifshitz phase transition is studied systematically within an effective model of QCD, in which the chiral symmetry, broken at zero temperature, is not restored at high temperature and/or baryon chemical potential. It is…

High Energy Physics - Phenomenology · Physics 2013-12-02 Tran Huu Phat , Phung Thi Thu Ha , Nguyen Tuan Anh

We study the finite temperature phase transition of lattice QCD with an irrelevant chiral 4-fermion interaction and two massless quark flavours, on $8^3 \times 4$ and $12^2 \times 24 \times 4$ lattices. The strength of the 4-fermion…

High Energy Physics - Lattice · Physics 2007-05-23 J. B. Kogut , D. K. Sinclair

The study of the O(N) model at nonzero temperature is presented applying the auxiliary field method, which allows to obtain a continuous transformation between the linear and the nonlinear version of the model. In case of explicitly broken…

High Energy Physics - Phenomenology · Physics 2011-08-11 Elina Seel

The temporal finite volume induces significant effects in Monte Carlo simulations of systems in low dimensions, such as graphene, a 2-D hexagonal system known for its unique electronic properties and numerous potential applications. In this…

Strongly Correlated Electrons · Physics 2024-11-07 Lado Razmadze , Thomas Luu

Using lattice perturbation theory at finite temperature, we compute for staggered fermions the one-loop fermionic corrections to the spatial and temporal plaquette couplings as well as the leading $Z_N$ symmetry breaking coupling. Numerical…

High Energy Physics - Lattice · Physics 2009-10-28 Peter N. Meisinger , Michael C. Ogilvie

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

We analyze the possible dynamical chiral symmetry breaking patterns taking place within Weyl type of materials. Here, these systems are modeled by the (2+1)-dimensional Gross-Neveu model with a tilt in the Dirac cone. The optimized…

Strongly Correlated Electrons · Physics 2023-08-07 Y. M. P. Gomes , Everlyn Martins , Marcus Benghi Pinto , Rudnei O. Ramos

We present new results on the Gross-Neveu model at finite temperature and at next-to-leading order in the 1/N expansion. In particular, a new expression is obtained for the effective potential which is explicitly invariant under…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. P. Blaizot , R. Mendez-Galain , N. Wschebor

The present manuscript gives a theoretical description of the first-order phase transition in a cell fluid model with a modified Morse potential and additional repulsive interaction. In the framework of the grand canonical ensemble, the…

Statistical Mechanics · Physics 2019-12-03 M. P. Kozlovskii , O. A. Dobush

Quantum phase transitions have been the subject of intense investigations in the last two decades [1]. Among other problems, these phase transitions are relevant in the study of heavy fermion systems, high temperature superconductors and…

Strongly Correlated Electrons · Physics 2015-06-25 M. A. Continentino , A. S. Ferreira

The large N limit of the Gross-Neveu model is here studied on manifolds with constant curvature, at zero and finite temperature. Using the zeta-function regularization, the phase structure is investigated for arbitrary values of the…

High Energy Physics - Theory · Physics 2009-10-31 Patrizia Vitale

The characteristics of the hadron-to-quark first-order phase transition differ depending on whether charge neutrality is locally or globally fulfilled. In $\beta$-equilibrated matter, these two possibilities correspond to the Maxwell and…

Nuclear Theory · Physics 2025-12-10 Constantinos Constantinou , Mirco Guerrini , Tianqi Zhao , Sophia Han , Madappa Prakash

Dynamical symmetry breaking in three-dimensional QED with N fermion flavours is considered at finite temperature, in the large $N$ approximation. Using an approximate treatment of the Schwinger-Dyson equation for the fermion self-energy, we…

High Energy Physics - Phenomenology · Physics 2016-09-01 I. J. R. Aitchison , N. Dorey , M. Klein-Kreisler , N. E. Mavromatos

Two-loop corrections for the standard Abelian Nambu-Jona-Lasinio model are obtained with the Optimized Perturbation Theory (OPT) method. These contributions improve the usual mean-field and Hartree-Fock results by generating a $1/N_c$…

Nuclear Theory · Physics 2016-10-10 Jean-Loic Kneur , Marcus Benghi Pinto , Rudnei O. Ramos , Ederson Staudt

In this work we consider a fermionic quantum gas within a Lorentz-Violating background at finite temperature. We derive the effective action within Path Integral formalism considering the interaction of external electromagnetic field and…

High Energy Physics - Theory · Physics 2024-01-29 Rafael L. J. Costa , Rodrigo F. Sobreiro

The finite-size effect on the chiral phase transition is investigated in the Nambu--Jona-Lasinio model. To take into account finite-size effects, momentum integrals are replaced by momentum summations. The ground state of quark matter at…

High Energy Physics - Phenomenology · Physics 2019-04-03 Kun Xu , Mei Huang

Elucidating the phase diagram of lattice gauge theories with fermionic matter in 2+1 dimensions has become a problem of considerable interest in recent years, motivated by physical problems ranging from chiral symmetry breaking in…

Strongly Correlated Electrons · Physics 2020-05-15 Nikolai Zerf , Rufus Boyack , Peter Marquard , John A. Gracey , Joseph Maciejko

We have extended the perturbative expansion method around the Gaussian effective action to the fermionic field theory, by taking the 2-dimensional Gross-Neveu model as an example. We have computed both the zero temperature and the finite…

High Energy Physics - Theory · Physics 2016-08-25 Geon Hyoung Lee , Tack Hwi Lee , Jae Hyung Yee

In a chiral $U_L(N)\times U_R(N)$ fermion model of NJL-form, we prove that, if all the fermions are assumed to have equal masses and equal chemical potentials, then at the finite temperature $T$ below the symmetry restoration temperature…

High Energy Physics - Theory · Physics 2018-01-17 Bang-Rong Zhou

The chiral symmetry of QCD with two massless quark flavours gets restored in a non-analytic chiral phase transition at finite temperature and zero density. Whether this is a first-order or a second-order transition has not yet been…

High Energy Physics - Lattice · Physics 2013-11-05 Claudio Bonati , Massimo D'Elia , Philippe de Forcrand , Owe Philipsen , Francesco Sanfillippo