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The chiral symmetry is explicitly and spontaneously broken in a strongly interacting massive fermionic system. We study the chiral symmetry restoration in massive four-fermion interaction models with increasing temperature and chemical…

High Energy Physics - Phenomenology · Physics 2023-06-02 Tomohiro Inagaki , Daiji Kimura , Hiromu Shimoji

A mean field analysis of finite density QCD is presented including the effects of additional chiral invariant four-fermion interactions. A lattice regularization is used with N_f=4 flavors of staggered fermions. The use of the four-fermion…

High Energy Physics - Lattice · Physics 2016-09-01 Michael Chavel

We study quark-hadron phase transition at finite temperature with zero net baryon density by the Nambu-Jona-Lasinio model for interacting quarks in uniform background temporal color gauge fields. At low temperatures, unphysical thermal…

High Energy Physics - Phenomenology · Physics 2015-07-01 Kanako Yamazaki , T. Matsui

We study the dynamics of the chiral phase transition at finite chemical potential in the Gross-Neveu model in the leading order in large-N approximation. We consider evolutions starting in local thermal equilibrium in the massless unbroken…

High Energy Physics - Phenomenology · Physics 2019-08-17 Alan Chodos , Fred Cooper , Anupam Singh , Wenjin Mao

The finite temperature effective potential in the 2+1 dimensional Nambu-Jona-Lasinio model is constructed up to the next to leading order in the large $N$ expansion, where $N$ is the number of flavors in the model. The distinctive feature…

High Energy Physics - Phenomenology · Physics 2016-08-25 E. P. Esposito , I. A. Shovkovy , L. C. R. Wijewardhana

We investigate the superfluid phase transition in an $\mathrm{SU}(N)$-symmetric Fermi gas with $N$ distinct spin states using the functional renormalization group. To capture pairing phenomena beyond mean-field theory, we introduce an…

Quantum Gases · Physics 2026-05-15 Georgii Kalagov

Starting from a NJL-type model with N fermion species fermion and difermion condensates and their associated phase structures are considered at nonzero chemical potential $\mu$ and zero temperature in spaces with nontrivial topology of the…

High Energy Physics - Phenomenology · Physics 2014-11-21 D. Ebert , K. G. Klimenko

We have studied lattice QCD with an additional, irrelevant 4-fermion interaction having a U(1)xU(1) chiral symmetry, at finite temperatures. Adding this 4-fermion term allowed us to work at zero quark mass, which would have otherwise been…

High Energy Physics - Lattice · Physics 2014-11-17 J. B. Kogut , J. -F. Lagae , D. K. Sinclair

Motivated by ongoing interest in the universal behaviour of the Hubbard model of spinning electrons on honeycomb and $\pi$-flux lattices at the semi-metal -- Mott insulator phase transition, we formulate the \threeD~chiral Heisenberg model,…

High Energy Physics - Lattice · Physics 2026-04-01 Simon Hands , Johann Ostmeyer

The quark-hadron phase transition at finite baryon chemical potential is investigated in the extended Nambu-Jona-Lasinio model in which the scalar-vector eight-point interaction is included holding the chiral symmetry. By comparing a…

High Energy Physics - Phenomenology · Physics 2015-03-13 Y. Tsue , J. da Providencia , C. Providencia , M. Yamamura

The finite size effect on hadron physics and quark matter has attracted much interest for more than three decades, normally both the periodic (with zero-momentum mode) and the anti-periodic (without zero-momentum mode) spatial boundary…

High Energy Physics - Phenomenology · Physics 2021-12-16 Kun Xu , Mei Huang

We consider the 3-dimensional massive Gross-Neveu model at finite temperature as an effective theory for strong interactions. Using the Matsubara imaginary time formalism, we derive a closed form for the renormalized $T$-dependent…

High Energy Physics - Theory · Physics 2010-12-01 F. C. Khanna , A. P. C. Malbouisson , J. M. C. Malbouisson , A. E. Santana

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

Symmetry restoration in a theory of a self-interacting charged scalar field at finite temperature and in the presence of an external magnetic field is examined. The effective potential is evaluated nonperturbatively in the context of the…

High Energy Physics - Phenomenology · Physics 2011-11-01 D. C. Duarte , R. L. S. Farias , Rudnei O. Ramos

We study strongly correlated Hubbard systems extended to symmetric $N$-component fermions. We focus on the intermediate-temperature regime between magnetic superexchange and interaction energy, which is relevant to current ultracold…

Quantum Gases · Physics 2012-11-19 Akiyuki Tokuno , Thierry Giamarchi

We discuss phase transitions in relativistic systems as a function of both chemical potential and temperature. The presence of a chemical potential explicitly breaks Lorentz invariance and may additionally break other internal symmetries.…

High Energy Physics - Phenomenology · Physics 2009-11-07 K. Splittorff , J. T. Lenaghan , J. Wirstam

We investigate the possible formation of a molecular condensate, which might be, for instance, the analogue of the alpha condensate of nuclear physics, in the context of multicomponent cold atoms fermionic systems. A simple paradigmatic…

Strongly Correlated Electrons · Physics 2009-01-05 P. Lecheminant , P. Azaria , E. Boulat , S. Capponi , G. Roux , S. R. White

We consider the O(N) linear {\sigma} model and introduce an auxiliary field to eliminate the scalar self-interaction. Using a suitable limiting process this model can be continuously transformed into the nonlinear version of the O(N) model.…

High Energy Physics - Phenomenology · Physics 2012-12-27 Elina Seel , Stefan Struber , Francesco Giacosa , Dirk H. Rischke

By using the lattice Monte-Carlo simulation, we investigate the finite temperature (T) chiral phase transition at color SU(3) gauge theories with various species of fundamental fermions, and discuss the signal of the (pre-)conformality at…

High Energy Physics - Lattice · Physics 2015-06-11 Kohtaroh Miura

We investigate the phase diagram and the nature of the phase transitions in a three-dimensional model characterized by a global SU($N$) symmetry, a local U(1) symmetry, and the absence of monopoles. It represents a natural generalization of…

Statistical Mechanics · Physics 2024-04-15 Claudio Bonati , Andrea Pelissetto , Ettore Vicari
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