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The dynamical fermion mass generation on a 3-brane in the 5D space-time is discussed in a model with bulk fermions in interaction with fermions on the brane assuming the presence of a constant abelian gauge field component $A_5$ in the…

High Energy Physics - Theory · Physics 2010-11-03 D. Ebert , V. Ch. Zhukovsky , A. V. Tyukov

We solved with a numerical procedure the HTL improved ladder DS equation for the retarded fermion self-energy function $\Sigma_R$ to study the spontaneous generation of fermion mass in thermal QCD/QED, and studied the gauge-dependence of…

High Energy Physics - Phenomenology · Physics 2007-09-05 Hisao Nakkagawa , Hiroshi Yokota , Koji Yoshida

A non-perturbative construction of the 3-point fermion-boson vertex which obeys its Ward-Takahashi or Slavnov-Taylor identity, ensures the massless fermion and boson propagators transform according to their local gauge covariance relations,…

High Energy Physics - Phenomenology · Physics 2015-05-30 Adnan Bashir , Alfredo Raya , Saul Sanchez-Madrigal

We review several variants of three-dimensional quantum electrodynamics (QED$_3$) with $N_f$ fermion (or boson) flavors including fermionic (or spinorial) QED$_3$, bosonic (or scalar) QED$_3$, $\mathcal{N}=1$ supersymmetric QED and also…

High Energy Physics - Theory · Physics 2023-10-12 S. Metayer , S. Teber

We construct a conformal lattice theory with only gauge degrees of freedom based on the induced non-local gauge action in QED$_3$ coupled to large number of flavors $N$ of massless two-component Dirac fermions. This lattice system displays…

High Energy Physics - Lattice · Physics 2020-12-23 Nikhil Karthik , Rajamani Narayanan

Massless 2+1D Dirac fermions arise in a variety of systems from graphene to the surfaces of topological insulators, where generating a mass is typically associated with breaking a symmetry. However, with strong interactions, a symmetric…

Strongly Correlated Electrons · Physics 2018-02-21 Yi-Zhuang You , Yin-Chen He , Cenke Xu , Ashvin Vishwanath

Scalar composite boson masses have been computed in QCD and Technicolor theories with the help of the homogeneous Bethe-Salpeter equation (BSE), resulting in a scalar mass that is twice the dynamically generated fermion or technifermion…

High Energy Physics - Phenomenology · Physics 2009-11-06 A. Doff , A. A. Natale , P. S. Rodrigues da Silva

The fermion mass matrices are calculated in the framework of the dynamical mass generation by the broken horizontal gauge interactions. The non-proportional mass spectra between up- and down-sectors and CKM mixings are obtained solely by…

High Energy Physics - Phenomenology · Physics 2010-11-01 Yasuhiko Nagoshi , Ken Nakanishi

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 investigate fermion production in the background of Minkowski space solutions to the equations of motion of $SU(2)$ gauge theory spontaneously broken via the Higgs mechanism. First, we attempt to evaluate the topological charge $Q$ of…

High Energy Physics - Phenomenology · Physics 2009-10-28 E. Farhi , J. Goldstone , S. Gutmann , K. Rajagopal , R. Singleton

A common way to obtain standard-model-like Lagrangians in string theory is to place D3-branes inside flux compactifications. The bosonic and fermionic masses and couplings of the resulting gauge theory are determined by the ten-dimensional…

High Energy Physics - Theory · Physics 2016-04-13 Iosif Bena , Mariana Graña , Stanislav Kuperstein , Praxitelis Ntokos , Michela Petrini

We study dynamical symmetry breaking in three-dimensional QED with a Chern-Simons (CS) term, considering the screening effect of $N$ flavor fermions. We find a new phase of the vacuum, in which both the fermion mass and a magnetic field are…

High Energy Physics - Theory · Physics 2009-10-31 Taichi Itoh , Hiroshi Kato

We study dynamical mass generation in QED in (2+1) dimensions using Hamiltonian lattice methods. We use staggered fermions, and perform simulations with explicit dynamical fermions in the chiral limit. We demonstrate that a recently…

High Energy Physics - Lattice · Physics 2009-11-07 Pieter Maris , Dean Lee

We review the phase structure of a three-dimensional, non-compact Abelian gauge theory (QED3) as a function of the number $N$ of 4-component massless fermions. There is a critical $N_{c}$ up to which there is dynamical fermion mass…

High Energy Physics - Phenomenology · Physics 2017-08-23 Thomas Appelquist , L. C. R. Wijewardhana

Using the results of previous investigations on sine-Gordon form factors exact expressions of all breather matrix elements are obtained for several operators: all powers of the fundamental bose field, general exponentials of it, the energy…

High Energy Physics - Theory · Physics 2008-11-26 H. Babujian , M. Karowski

In this paper we present a study based on the use of functional techniques on the issue of insertions of massive fermionic fields in the two-dimensional massless Gauged Thirring Model. As it will be shown, the fermionic mass contributes to…

High Energy Physics - Theory · Physics 2014-08-22 R. Bufalo , B. M. Pimentel

Modern facilities are poised to tackle fundamental questions within the Standard Model, aiming to reveal the nature of confinement, its relationship to dynamical chiral symmetry breaking (DCSB) - the origin of visible mass - and the…

Nuclear Theory · Physics 2017-04-05 Craig D. Roberts , Cedric Mezrag

The real-world properties of quantum chromodynamics (QCD) - the strongly-interacting piece of the Standard Model - are dominated by two emergent phenomena: confinement; namely, the theory's elementary degrees-of-freedom - quarks and gluons…

Nuclear Theory · Physics 2012-03-27 Craig D. Roberts

Recently, a theoretical framework was set up in [1], which allows for the symmetry-preserving inclusion of full quark-gluon vertices in the description of the meson dynamics. In the present work, we develop a special truncation within this…

High Energy Physics - Phenomenology · Physics 2025-12-05 Mauricio N. Ferreira , Angel S. Miramontes , Jose M. Morgado , Joannis Papavassiliou , Jan M. Pawlowski

To understand the mechanism of the fermion pair and fermion-antifermion pair condensation,the solutions of Bethe-Salpeter equation in QED$_{3}$ is examined.In the ladder appoximation our solution for the axial-scalar is consistent with…

High Energy Physics - Theory · Physics 2007-07-09 Yuichi Hoshino