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Related papers: Thirring Model as a Gauge Theory

200 papers

We present results of a Monte Carlo simulation of the three dimensional Thirring model with the number of fermion flavors N_f varied between 2 and 18. By identifying the lattice coupling at which the chiral condensate peaks, simulations are…

High Energy Physics - Lattice · Physics 2008-09-22 Stavros Christofi , Simon Hands , Costas Strouthos

We reformulate the Thirring model in $D$ $(2 \le D < 4)$ dimensions as a gauge theory by introducing $U(1)$ hidden local symmetry (HLS) and study the dynamical mass generation of the fermion through the Schwinger-Dyson (SD) equation. By…

High Energy Physics - Theory · Physics 2009-10-28 Taichi Itoh , Yoonbai Kim , Masaki Sugiura , Koichi Yamawaki

We study the dynamical breaking of chiral symmetry in the 3-d Thirring model for a small number of fermion species. The critical point is identified by fitting lattice data to an equation of state. The spectrum of the theory is studied to…

High Energy Physics - Lattice · Physics 2007-05-23 L. Del Debbio

We investigate chiral symmetry breaking in the (2+1)-dimensional Thirring model as a function of the coupling as well as the Dirac flavor number Nf with the aid of the functional renormalization group. For small enough flavor number Nf <…

High Energy Physics - Theory · Physics 2012-11-08 Lukas Janssen , Holger Gies

We study the Thirring model in three spacetime dimensions, by means of Monte Carlo simulation on lattice sizes 8^3 and 12^3, for numbers of fermion flavors N_f=2,4,6. For sufficiently strong interaction strength, we find that spontaneous…

High Energy Physics - Lattice · Physics 2009-10-28 Luigi Del Debbio , Simon Hands

The Thirring model in 2+1 spacetime dimensions, in which $N$ flavors of relativistic fermion interact via a contact interaction between conserved fermion currents, is studied using lattice field theory simulations employing domain wall…

High Energy Physics - Lattice · Physics 2019-02-20 Simon Hands

One exciting possibility of new physics beyond the Standard Model is that the fundamental Higgs sector is replaced by a strongly-interacting gauge theory, known as technicolor. A viable theory must break chiral symmetry dynamically, like in…

High Energy Physics - Lattice · Physics 2010-01-21 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chris Schroeder

Starting from a reformulation of the Thirring model as a gauge theory, we consider the bosonization of the $D$-dimensional multiflavor massive Thirring model $(D \ge 2)$ with four-fermion interaction of the current-current type. Our method…

High Energy Physics - Theory · Physics 2009-10-28 Kei-Ichi Kondo

We consider lattice gauge theories at strong coupling with gauge group $U(N_C)$, or $SU(N_C)$ restricted to the meson sector, and coupled to $N_F$ flavors of fundamental representation staggered fermions. We study the formation of a chiral…

High Energy Physics - Lattice · Physics 2015-06-12 E. T. Tomboulis

The large N_c N=4 gauge theory with quenched N=2 quark matter in the presence of a magnetic field displays chiral symmetry breaking. We study the temperature and chemical potential dependence of this theory using its gravity dual (based on…

High Energy Physics - Theory · Physics 2010-06-14 Nick Evans , Astrid Gebauer , Keun-Young Kim , Maria Magou

We investigate a Lorentz-violating chiral model composed by two fermions, a complex scalar field and a gauge field. We show that by convenientely adjusting the parameters of the model, it is possible to generate an unambiguous…

High Energy Physics - Theory · Physics 2016-01-20 A. P. Baêta Scarpelli , M. Gomes , A. Yu. Petrov , A. J. da Silva

We investigate a proposal for the construction of models with chiral fermions on the lattice using staggered fermions. In this approach the gauge invariance is broken by the coupling of the staggered fermions to the gauge fields. We aim at…

High Energy Physics - Lattice · Physics 2009-10-22 Wolfgang Bock , Jan Smit , Jeroen C. Vink

We investigate an influence of an external magnetic field on chiral symmetry breaking in a four-fermion interaction model at finite temperature and chemical potential. By using the Fock-Schwinger proper-time method, we calculate the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Tomohiro Inagaki , Daiji Kimura , Tsukasa Murata

We present new results on chiral symmetry breaking in nearly conformal gauge theories with fermions in the fundamental representation of the SU(3) color gauge group. The number of fermion flavors is varied in an extended range below the…

High Energy Physics - Lattice · Physics 2010-11-05 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chris Schroeder

We investigate a proposal for the construction of models with chiral fermions on the lattice using staggered fermions. In this approach the gauge invariance is broken by the coupling of the staggered fermions to the gauge fields. Motivated…

High Energy Physics - Lattice · Physics 2009-10-22 Wolfgang Bock , Jan Smit , Jeroen C. Vink

The fermion flavor $N_f$ dependence of non-perturbative solutions in the strong coupling phase of the gauge theory is reexamined based on the interrelation between the inversion method and the Schwinger-Dyson equation approach. Especially…

High Energy Physics - Theory · Physics 2009-10-28 Kei-Ichi Kondo , Takuya Iizuka , Eiji Tanaka , Toru Ebihara

In three-dimensional QED with a Chern--Simons term we study the phase structure associated with chiral-symmetry breaking in the framework of the Schwinger--Dyson equation. We give detailed analyses on the analytical and numerical solutions…

High Energy Physics - Phenomenology · Physics 2016-09-01 K. --I. Kondo , P. Maris

We study the relation of confinement and chiral symmetry breaking in gauge theories with non-trivial center, such as SU(N) gauge theories. To this end, we deform these gauge theories by introducing an additional control parameter into the…

High Energy Physics - Phenomenology · Physics 2012-05-08 Jens Braun , Tina K. Herbst

We study, for the first time, the interplay between colour-confining and chiral symmetry-breaking dynamics in gauge-fermion systems with a general number of flavours and colours. Specifically, we work out the flavour dependence of the…

High Energy Physics - Theory · Physics 2024-12-18 Florian Goertz , Álvaro Pastor-Gutiérrez , Jan M. Pawlowski

SU(2) lattice gauge theory with four flavors of quarks is simulated at nonzero chemical potential $\mu$ and temperature $T$ and the results are compared to the predictions of Effective Lagrangians. Simulations on $16^4$ lattices indicate…

High Energy Physics - Lattice · Physics 2009-11-07 John B. Kogut , Dominique Toublan , D. K. Sinclair