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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

In a recent work we studied the phase structure of the Gross-Neveu (GN) model in $1+1$ dimensions at finite number of fermion flavors $N_\mathrm{f} = 2, 8, 16$, finite temperature and finite chemical potential using lattice field theory.…

High Energy Physics - Lattice · Physics 2020-12-04 Julian J. Lenz , Laurin Pannullo , Marc Wagner , Björn Wellegehausen , Andreas Wipf

We study the phase diagram of the Gross-Neveu model in d=2+1 space-time dimensions in the plane spanned by temperature and the number of massless fermion flavors. We use a functional renormalization group approach based on a nonperturbative…

High Energy Physics - Phenomenology · Physics 2014-09-09 Daniel D. Scherer , Jens Braun , Holger Gies

Massless overlap fermions in the real representation of two dimensional $SU(N_c)$ gauge theories exhibit a mod($2$) index due to the rigidity of its spectrum when viewed as a function of the background gauge field - lattice gauge fields on…

High Energy Physics - Lattice · Physics 2025-09-12 Rajamani Narayanan , Ray Romero

In realistic technicolor models containing many fermions, the electroweak baryogenesis offers a natural scenario for generating baryon number asymmetry. One of the key ingredients is the occurrence of the first order phase transition at…

High Energy Physics - Lattice · Physics 2017-08-23 Norikazu Yamada , Shinji Ejiri

We report on lattice QCD results for the thermodynamic equation of state of quark-gluon matter obtained with Nf=2 degenerate quark flavors. For the fermion field discretization we are using the Wilson-twisted mass prescription. Simulations…

High Energy Physics - Lattice · Physics 2015-06-23 F. Burger , E. -M. Ilgenfritz , M. P. Lombardo , M. Muller-Preussker

Motivated by advances in the manipulation and detection of ultracold atoms with multiple internal degrees of freedom, we present a finite-temperature lattice Monte Carlo calculation of the density and pressure equations of state, as well as…

Quantum Gases · Physics 2017-03-07 M. D. Hoffman , A. C. Loheac , W. J. Porter , J. E. Drut

I review the properties of the three-dimensional Gross-Neveu model formulated with non-zero chemical potential and temperature, focussing on results obtained by lattice Monte Carlo simulation.

High Energy Physics - Lattice · Physics 2009-10-31 Simon Hands

The compressibility, zero sound dispersion, and effective mass of a gas of fermionic dipolar molecules is calculated at finite temperature for one-, two-, and three-dimensional uniform systems, and in a multilayer quasi-two-dimensional…

Quantum Physics · Physics 2010-09-15 J. P. Kestner , S. Das Sarma

We investigate the Gross-Neveu model on the lattice at finite temperature and chemical potential in the limit of an infinite number of fermion flavours. We check the universality of the continuum limit of staggered and overlap fermions at…

High Energy Physics - Lattice · Physics 2008-11-26 Philippe de Forcrand , Urs Wenger

We present our full analysis of the two flavor Nambu--Jona-Lasinio model with $SU(2) \times SU(2)$ chiral symmetry on the four--dimensional hypercubic lattice with naive and Wilson fermions. We find that this model is an excellent toy field…

High Energy Physics - Lattice · Physics 2009-10-22 K. M. Bitar , P. M. Vranas

The spectra of two-dimensional $su(2)$ gauge theories coupled to a single massless Majorana fermion in integer representations, $J$, are numerically investigated using the Discrete Light-Cone Hamiltonian. One of our aims is to explore the…

High Energy Physics - Theory · Physics 2023-10-11 Rajamani Narayanan , Sruthi A. Narayanan

We perform lattice studies of the gauge theory with Sp(4) gauge group and two flavours of (Dirac) fundamental matter. The global SU(4) symmetry is spontaneously broken by the fermion condensate. The dynamical Wilson fermions in the lattice…

High Energy Physics - Lattice · Physics 2020-01-29 Ed Bennett , Deog Ki Hong , Jong-Wan Lee , C. -J. David Lin , Biagio Lucini , Maurizio Piai , Davide Vadacchino

The phase diagram at zero temperature of a lattice SU(2) scalar-fermion model in (2+1) dimensions is studied numerically and with Mean-Field methods. Special attention is devoted to the strong coupling regime. We have developed a new method…

Condensed Matter · Physics 2010-03-19 J. L. Alonso , Ph. Boucaud , V. Martin-Mayor , A. J. van der Sijs

We calculate the phase diagrams at high temperature of SU(N) gauge theories with massive fermions by minimizing the one-loop effective potential. Considering fermions in the adjoint (Adj) representation at various N we observe a variety of…

High Energy Physics - Theory · Physics 2009-11-13 Joyce C. Myers , Michael C. Ogilvie

A non-supersymmetric renormalizable $SO(10)$ model is investigated for its viability in explaining the observed fermion masses and mixing parameters along with the baryon asymmetry produced via thermal leptogenesis. The Yukawa sector of the…

High Energy Physics - Phenomenology · Physics 2021-12-10 V. Suryanarayana Mummidi , Ketan M. Patel

In the Standard Model of elementary particles the fermions are assumed to be intrinsically massless. Here we propose a new theoretical idea of fermion mass generation (other than by the Higgs mechanism) through the coupling with the vector…

High Energy Physics - Phenomenology · Physics 2025-08-26 Eckart Marsch , Yasuhito Narita

The mass spectrum of $1+1$-dimensional $\mathrm{SU}(N)$ gauge theory coupled to a Majorana fermion in the adjoint representation has been studied in the large $N$ limit using Light-Cone Quantization. Here we extend this approach to theories…

High Energy Physics - Theory · Physics 2023-05-10 Ross Dempsey , Igor R. Klebanov , Loki L. Lin , Silviu S. Pufu

It is shown that in $2+1$ dimensions, a constant magnetic field is a strong catalyst of dynamical flavor symmetry breaking, leading to generating a fermion dynamical mass even at the weakest attractive interaction between fermions. The…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. P. Gusynin , V. A. Miransky , I. A. Shovkovy

The sequence of prominent fractional quantum Hall states up to $\nu$=5/11 around $\nu$=1/2 in a high mobility two-dimensional electron system confined at oxide heterointerface (ZnO) is analyzed in terms of the composite fermion model. The…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Denis Maryenko , Joseph Falson , Yusuke Kozuka , Atsushi Tsukazaki , Masaru Onoda , Hideo Aoki , Masashi Kawasaki