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The Gross-Neveu model defines a unitary CFT of interacting fermions in $2<d<4$ which has perturbative descriptions in the $1/N$ expansion and in the epsilon-expansion near two and four dimensions. In each of these descriptions, the CFT has…

High Energy Physics - Theory · Physics 2017-09-18 S. Giombi , V. Kirilin , E. Skvortsov

We show that an interacting spin-0 field on a de Sitter space background will break the underlying de Sitter symmetry. This is done first for a (1+1) de Sitter space where a boson-fermion correspondence permits us to solve certain…

High Energy Physics - Theory · Physics 2011-05-13 Myron Bander

We investigate the noncommutative analogue of the spontaneously broken linear sigma model at the one-loop quantum level. In the commutative case, renormalization of a theory with a spontaneously broken continuous global symmetry depends on…

High Energy Physics - Theory · Physics 2009-10-31 Bruce A. Campbell , Kirk Kaminsky

We explore the thermodynamics of the 1+1-dimensional Gross-Neveu (GN) model at finite number of fermion flavors $N_f$, finite temperature and finite chemical potential using lattice field theory. In the limit $N_f \rightarrow \infty$ the…

High Energy Physics - Lattice · Physics 2020-12-02 Julian Lenz , Laurin Pannullo , Marc Wagner , Björn Wellegehausen , Andreas Wipf

We study dynamical electroweak symmetry breaking in the Randall-Sundrum scenario. We show that one extra dimension is enough to give the correct pattern of electroweak symmetry breaking in a simple model with gauge bosons and the…

High Energy Physics - Phenomenology · Physics 2009-11-07 N. Rius , V. Sanz

We consider quantum error-correcting subsystem codes whose gauge generators realize a translation-invariant, free-fermion-solvable spin model. In this setting, errors are suppressed by a Hamiltonian whose terms are the gauge generators of…

Quantum Physics · Physics 2026-04-14 Adrian Chapman , Steven T. Flammia , Alicia J. Kollár

In the context of the free-fermionic formulation of the heterotic superstring, we construct a three generation N=1 supersymmetric SU(4)xSU(2)LxSU(2)R model supplemented by an SU(8) hidden gauge symmetry and five Abelian factors. The…

High Energy Physics - Theory · Physics 2008-11-26 G. K. Leontaris , J. Rizos

Gross-Neveu model in 2+1 dimensions exhibits a continuous transition from gapless Dirac semimetal to the gapped quantum anomalous Hall (QAH) insulator at a finite (attractive) coupling, at which the inversion and time-reversal symmetry…

Strongly Correlated Electrons · Physics 2025-12-08 Gabriel Osiander Rein , Fakher F. Assaad , Igor F. Herbut

A systematic procedure is proposed for deriving all the gauge symmetries of the general, not necessarily variational, equations of motion. For the variational equations, this procedure reduces to the Dirac-Bergmann algorithm for the…

Mathematical Physics · Physics 2015-05-13 S. L. Lyakhovich , A. A. Sharapov

The (discrete) Gross-Neveu model is studied in a lattice realization with an N-component Majorana Wilson fermion field. It has an internal O(N) symmetry in addition to the euclidean lattice symmetries. The discrete chiral symmetry for…

High Energy Physics - Lattice · Physics 2008-11-26 Ulli Wolff

We study a left--right symmetric model which contains only elementary gauge boson and fermion fields and no scalars. The phenomenologically required symmetry breaking emerges dynamically leading to a composite Higgs sector with a…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Akhmedov , M. Lindner , E. Schnapka , J. W. F. Valle

We determine the patterns of spontaneous symmetry breaking in strong-coupling lattice QCD in a fixed background baryon density. We employ a next-nearest-neighbor fermion formulation that possesses the SU(N_f)xSU(N_f) chiral symmetry of the…

High Energy Physics - Lattice · Physics 2009-11-10 Barak Bringoltz , Benjamin Svetitsky

Adding a gauge symmetry breaking field -\nu\sqrt{V}(a_0+a_0^*) to the Hamiltonian of some simplified models of an interacting Bose gas we compute the condensate density and the symmetry breaking order parameter in the limit of infinite…

Statistical Mechanics · Physics 2009-11-10 Andras Suto

We study a lattice Nambu-Jona-Lasinio model with interacting staggered fermions in the Kogut-Susskind Hamiltonian formalism. The model has a discrete chiral symmetry but not the usual continuous chiral symmetry. In a strong coupling regime…

Mathematical Physics · Physics 2024-01-10 Yukimi Goto , Tohru Koma

The weakly-coupled heterotic string is known to have problems of dilaton/moduli stabilization, supersymmetry breaking (by hidden-sector gaugino condensation), gauge coupling unification (or the Newton's constant), QCD axion, as well as…

High Energy Physics - Theory · Physics 2007-05-23 Yi-Yen Wu

This work develops a low-dimensional nonlinear stochastic model of symmetry-breaking coherent structures from experimental measurements of a turbulent axisymmetric bluff body wake. Traditional model reduction methods decompose the field…

Fluid Dynamics · Physics 2021-05-31 Jared L. Callaham , Georgios Rigas , Jean-Christophe Loiseau , Steven L. Brunton

We propose that all light fermionic degrees of freedom, including the Standard Model (SM) fermions and all possible light beyond-the-standard-model fields, are chiral with respect to some spontaneously broken abelian gauge symmetry.…

High Energy Physics - Phenomenology · Physics 2015-07-06 André de Gouvea , Daniel Hernandez

We discuss the phenomenology of models of dynamical electroweak symmetry breaking which attempt to generate the observed fermion mass spectrum. After briefly describing the variety of and constraints on proposed models, we concentrate on…

High Energy Physics - Phenomenology · Physics 2016-09-01 R. Sekhar Chivukula , Rogerio Rosenfeld , Elizabeth H. Simmons , John Terning

The driving forces of chiral active particles and deformations of cells are often modeled by spatially inhomogeneous but temporally periodic driving forces. Such inhomogeneous oscillatory driving forces have only recently been proposed in…

Statistical Mechanics · Physics 2024-09-04 Harukuni Ikeda , Yuta Kuroda

The gauge symmetry breaking in some versions of 3-3-1 models can be implemented dynamically because at the scale of a few TeVs the $U(1)_X$ coupling constant becomes strong. In this work we consider the dynamical symmetry breaking in a…

High Energy Physics - Phenomenology · Physics 2015-06-11 A. Doff , A. A. Natale