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In this study, we revisit the Schwinger-Dyson equation for the electron propagator in QED in three and four space-time dimensions. Our analysis addresses the non-perturbative phenomenon of dynamical chiral symmetry breaking, which requires…

High Energy Physics - Phenomenology · Physics 2025-09-17 Juan D. García-Muñoz , A. Alfaro , L. X. Gutiérrez-Guerrero , A. Raya

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

Motivated by recent theoretical approaches to high temperature superconductivity, we study dynamical mass generation in three dimensional quantum electrodynamics ${\rm QED}_{3}$) in presence of irrelevant four-fermion quartic terms. The…

Superconductivity · Physics 2007-05-23 Kamran Kaveh , Igor F. Herbut

We study a lattice model of interacting Dirac fermions in $(2+1)$ dimension space-time with an SU(4) symmetry. While increasing interaction strength, this model undergoes a {\it continuous} quantum phase transition from the weakly…

Strongly Correlated Electrons · Physics 2016-12-28 Yuan-Yao He , Han-Qing Wu , Yi-Zhuang You , Cenke Xu , Zi Yang Meng , Zhong-Yi Lu

For massless quenched QED in three dimensions, we evaluate a non-perturbative expression for the fermion propagator which agrees with its two loop perturbative expansion in the weak coupling regime. This calculation is carried out by making…

High Energy Physics - Theory · Physics 2009-10-31 A. Bashir

In a recent article, Ayala et al. [Phys. Rev. D 73, 105009 (2006)] have studied the dynamical generation of masses for fundamental fermions in strongly coupled QED in the presence of weak magnetic fields. We argue that the results and…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. -Y. Wang

We consider a 3+1 dimensional field theory at a Lifshitz point for a dynamical critical exponent z=3, with a scalar and a fermion field coupled via a Yukawa interaction. Using the non-perturbative Schwinger-Dyson approach we calculate…

High Energy Physics - Theory · Physics 2010-02-02 J. Alexandre , K. Farakos , P. Pasipoularides , A. Tsapalis

In this work, we study the relativistic quantum kinetic equations in 2+1 dimensions from Wigner function formalism by carrying out a systematic semi-classical expansion up to $\hbar$ order. The derived equations allow us to explore…

High Energy Physics - Theory · Physics 2021-04-07 Anping Huang , Shuzhe Shi , Xianglei Zhu , Lianyi He , Jinfeng Liao , Pengfei Zhuang

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

Based on a recent proposal according to which elementary particle masses could be generated by a non-perturbative dynamical phenomenon, alternative to the Higgs mechanism, we carry out lattice simulations of a model where a non-abelian…

In Ref. [1] (by J. Alexandre) a minimal extension of (3+1)-dimensional Quantum Electrodynamics has been proposed, which includes Lorentz-Violation (LV) in the form of higher-(spatial)-derivative isotropic terms in the gauge sector,…

High Energy Physics - Phenomenology · Physics 2011-02-25 Nick E. Mavromatos

We investigate fermion--anti-fermion production in 1+1 dimensional QED using real-time lattice techniques. In this non-perturbative approach the full quantum dynamics of fermions is included while the gauge field dynamics can be accurately…

High Energy Physics - Phenomenology · Physics 2013-05-24 Florian Hebenstreit , Jürgen Berges , Daniil Gelfand

A non-linear Schwinger-Dyson (SD) equation for the gauge boson propagator of massless QED in one time and two spatial dimensions is studied. It is shown that the nonperturbative solution leads to a nontrivial renormalization-group infrared…

High Energy Physics - Phenomenology · Physics 2009-10-31 Valery Gusynin , Anthony Hams , Manuel Reenders

The influence of a magnetic field on the mass generation in 2+1 dimensional QED is considered.It is shown that the magnetic field is a catalyst of the generation of a fermion dynamical mass. The mass arises in the system with arbitrary…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Shpagin

In (2+1)-dimensional QED with a Chern-Simons term, we study dynamical breaking of chiral symmetry, using the Dyson--Schwinger equation for the fermions. There is a region in parameter space were dynamical chiral symmetry breaking occurs,…

High Energy Physics - Phenomenology · Physics 2011-04-15 P. Maris

In this paper, fermions are minimally coupled to 3D-gravity where a dynamical torsion is introduced. A Kalb-Ramond field is non-minimally coupled to these fermions in a gauge-invariant way. We show that a 1-loop mass generation mechanism…

High Energy Physics - Theory · Physics 2009-10-31 J. L. Boldo , J. A. Helayel-Neto , N. Panza

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

As it was suggested by previous works on a modified perturbation expansion for QCD, the possibility for the generation of large quark condensates in the mass-less version of the theory is explored. For this purpose, it is firstly presented…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alejandro Cabo Montes de Oca , Danny Martinez-Pedrera

We study the frequency dependencies of the fermion and photon dressing functions in dynamical gap generation in graphene. We use a low energy effective QED-like description, but within this approximation, we include all frequency dependent…

Mesoscale and Nanoscale Physics · Physics 2018-03-14 M. E. Carrington , C. S. Fischer , L. von Smekal , M. H. Thoma

Taking inspiration from lattice QCD results, we argue that a non-perturbative mass term for fermions can be generated as a consequence of the dynamical phenomenon of spontaneous chiral symmetry breaking, in turn triggered by the explicitly…

High Energy Physics - Lattice · Physics 2013-12-06 Roberto Frezzotti , GianCarlo Rossi