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Related papers: Fermion mass generation without a condensate

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We find a large class of quantum gauge models with massless fermions where the coupling to the gauge fields is not chirally symmetric and which nevertheless do not suffer from gauge anomalies. To be specific we study two dimensional Abelian…

High Energy Physics - Theory · Physics 2009-10-31 Harald Grosse , Edwin Langmann

We study a 2-dimensional model of Fermi fields that is closely related to the Gross-Neveu model, and show that to leading order in 1/N a <psi-psi> condensate forms. This effect is independent of the chemical potential, a peculiarity that we…

High Energy Physics - Phenomenology · Physics 2009-10-31 Alan Chodos , Hisakazu Minakata , Fred Cooper

Using quantum Monte Carlo simulations, we study a mixture of bosons and fermions loaded on an optical lattice. With simple on-site repulsive interactions, this system can be driven into a solid phase. We dope this phase and, in analogy with…

Other Condensed Matter · Physics 2008-11-05 Frederic Hebert , George G. Batrouni , Xavier Roy , Valery G. Rousseau

Within the symmetric mass generation (SMG) approach to the construction of lattice chiral gauge theories, one attempts to use interactions to render mirror fermions massive without symmetry breaking, thus obtaining the desired chiral…

High Energy Physics - Lattice · Physics 2026-01-13 Maarten Golterman , Yigal Shamir

We show how a mass mixing matrix can be generated dynamically, for two massless fermion flavours coupled to a Lorentz invariance violating (LIV) gauge field. The LIV features play the role of a regulator for the gap equations, and the…

High Energy Physics - Phenomenology · Physics 2013-06-26 Jean Alexandre , Julio Leite , Nick E. Mavromatos

The hierarchy of fermion masses and EW symmetry breaking without elementary Higgs is studied on the basis of strong gauge field distributions governing the EW dynamics. The mechanism of symmetry breaking due to quark bilinears condensation…

High Energy Physics - Phenomenology · Physics 2010-12-06 Yu. A. Simonov

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 lattice fermion determinants, in a given background gauge field, are evaluated for two different kinds of random lattices and compared to those of naive and wilson fermions in the continuum limit. While the fermion doubling is confirmed…

High Energy Physics - Lattice · Physics 2009-10-28 T. D. Kieu , J. F. Markham , C. B. Paranavitane

We present a numerical study of the massive two-flavor QED in two dimensions with the gauge action proposed by L\"uscher, which allows only ``admissible'' gauge fields. We find that the admissibility condition does not allow any topology…

High Energy Physics - Lattice · Physics 2009-11-10 Hidenori Fukaya , Tetsuya Onogi

We propose a new mechanism to produce a fermion mass hierarchy dynamically in a model with a singlet generation of fermions. A five dimensional gauge theory on an interval with point interactions (zero-width branes) takes responsibility for…

High Energy Physics - Theory · Physics 2018-06-27 Yukihiro Fujimoto , Takashi Miura , Kenji Nishiwaki , Makoto Sakamoto

We show how a strongly coupled lattice theory consisting of just fermions and gauge fields can exhibit a dynamical Higgs mechanism through the formation of a gauge invariant four fermion condensate. Furthermore, we argue that the resultant…

High Energy Physics - Lattice · Physics 2013-11-19 Simon Catterall , Aarti Veernala

A reformulation of the Thirring model as a gauge theory on both continuum spacetime and discretized lattice is reviewed. In (1+1) dimensions, our result reproduces consistently the bosonization of the massless Thirring model. In (2+1)…

High Energy Physics - Theory · Physics 2007-05-23 Yoonbai Kim

We present new results from our ongoing study of the SU(3) sextet model with two flavors in the two-index symmetric representation of the gauge group. In the simulations use unimproved Wilson fermions to investigate the infrared properties…

High Energy Physics - Lattice · Physics 2017-09-13 Martin Hansen , Claudio Pica

Assuming that the leptons and quarks other than top are massless at tree level, we show that their masses may be induced by loops involving the top quark. As a result, the generic features of the fermion mass spectrum arise from…

High Energy Physics - Phenomenology · Physics 2009-09-17 Bogdan A. Dobrescu , Patrick J. Fox

We consider two-dimensional QED with several fermion flavors on a finite spatial circle. A modified version of the model with {\em flavor-dependent} boundary conditions $\psi_p(L) = e^{2\pi ip/ N} \psi_p(0)$, $p = 1, \ldots , N$ is…

High Energy Physics - Theory · Physics 2009-09-25 M. Shifman , A. Smilga

We construct a class of Abelian and non-Abelian local gauge theories that consist only of matter fields of fermions. The Lagrangian is compact and local without containing an auxiliary vector field nor a subsidiary condition on the matter…

High Energy Physics - Theory · Physics 2016-07-13 Mahiko Suzuki

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

We argue in favor of dynamical mass generation in an SU(2)xU(1) electroweak model with two complex scalar doublets with ordinary masses. The masses of leptons and quarks are generated by ultraviolet-finite non-perturbative solutions of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tomas Brauner , Jiri Hosek

We study strong-coupling lattice QCD with staggered-Wilson fermions, with an emphasis on the possibility of spontaneous parity breaking. We perform effective potential analysis in the strong-coupling limit. From gap equations we find the…

High Energy Physics - Lattice · Physics 2012-12-21 Takashi Z. Nakano , Tatsuhiro Misumi , Taro Kimura , Akira Ohnishi

Analysis of the electronic structure of an ordinary two-dimensional electron gas (2DEG) under an appropriate external periodic potential of hexagonal symmetry reveals that massless Dirac fermions are generated near the corners of the…

Mesoscale and Nanoscale Physics · Physics 2009-05-13 Cheol-Hwan Park , Steven G. Louie
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