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Quantum electrodynamics in three spacetime dimensions, with one massless fermion species, is studied using a non-perturbative variational approach. Quantization of the theory follows Dirac's Hamiltonian procedure, with a gauge invariant…

High Energy Physics - Theory · Physics 2017-02-10 Michaël Fanuel , Jan Govaerts

Extensive investigations show that QED$_{3}$ exhibits dynamical fermion mass generation at zero temperature when the fermion flavor $N$ is sufficiently small. However, it seems difficult to extend the theoretical analysis to finite…

High Energy Physics - Theory · Physics 2015-03-04 Jing-Rong Wang , Guo-Zhu Liu , Chang-Jin Zhang

The recent discovery of two-dimensional Dirac materials, such as graphene and transition-metaldichalcogenides, has raised questions about the treatment of hybrid systems, in which electrons moving in a two-dimensional plane interact via…

The gauge independence of the dynamical fermion mass generated through chiral symmetry breaking in QED in a strong, constant external magnetic field is critically examined. We show that the bare vertex approximation, in which the vertex…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. N. Leung , S. -Y. Wang

We investigate a strongly U(1) gauge theory with fermions and scalars on a three dimensional lattice and analyze whether the cintinuum limit might be a renormalizable theory with dynamical mass generation. Most attention is paid to the weak…

High Energy Physics - Lattice · Physics 2009-10-31 I. Barbour , W. Franzki , N. Psycharis

We study an asymptotically free theory of $N$ relativistic Dirac fermions and a real scalar field coupled by Yukawa and scalar self-interactions in three dimensions using functional renormalisation. In the limit of many fermion flavours,…

High Energy Physics - Theory · Physics 2024-08-22 Charlie Cresswell-Hogg , Daniel F. Litim

We show that, in 1+1 dimensional gauge theories, a heavy probe charge is screened by dynamical massless fermions both in the case when the source and the dynamical fermions belong to the same representation of the gauge group and,…

High Energy Physics - Theory · Physics 2009-10-28 D. J. Gross , I. R. Klebanov , A. V. Matytsin , A. V. Smilga

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

We study the dynamics and phase structure of Abelian gauge theories in $d=1+1$ dimensions. These include $U(1)$ gauge theory coupled to a scalar and a fermion, as well as the two-flavour Schwinger model with different charges. Both theories…

High Energy Physics - Theory · Physics 2026-04-23 Rishi Mouland , David Tong , Bernardo Zan

We write down the gap equation for the fermion self-energy in a finite-temperature abelian gauge theory in three dimensions. The instantaneous approximation is relaxed, momentum-dependent fermion and photon self-energies are considered, and…

High Energy Physics - Phenomenology · Physics 2016-08-25 George Triantaphyllou

The mass splittings in the pseudoscalar mesons are studied by combining 2+1 flavor domain wall fermion gauge configurations, generated by the RBC/UKQCD collaborations, and quenched, non-compact, lattice QED configurations. We extract the…

High Energy Physics - Lattice · Physics 2010-11-05 Ran Zhou , Shunpei Uno

In this talk, we review some of the current efforts to understand the phenomenon of chiral symmetry breaking and the generation of a dynamical quark mass. To do that, we will use the standard framework of the Schwinger-Dyson equations. The…

High Energy Physics - Phenomenology · Physics 2018-08-10 A. C. Aguilar , M. N. Ferreira

The problem of gauge invariance of the physical sector of (2+1)-dimensional Maxwell-Chern-Simons quantum electrodynamics (QED$_{2+1}$) is studied. It is shown that using Proca mass term for the infrared regularization one obtains…

High Energy Physics - Theory · Physics 2007-05-23 I. V. Tyutin , Vad. Yu. Zeitlin

Dynamical chiral symmetry breaking (DCSB) is a remarkably effective mass generating mechanism. It is also, amongst other things, the foundation for a successful application of chiral effective field theories, the origin of constituent-quark…

Nuclear Theory · Physics 2011-09-28 Lei Chang , Craig D. Roberts

We study Schwinger-Dyson equation for fermions in Yukawa and Wess-Zumino models, in terms of dynamical mass generation and the wavefunction renormalization function. In the Yukawa model with $\gamma_5$-type interaction between scalars and…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Bashir , J. Lorenzo Diaz-Cruz

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

In this work we study the dynamical generation of a fermion mass induced by a constant and uniform external magnetic field in an Abelian gauge model with a Yukawa term. We show that the Yukawa coupling not only enhances the dynamical…

High Energy Physics - Theory · Physics 2009-10-31 Efrain J. Ferrer , Vivian de la Incera

A serious problem with the Schwinger-Dyson approach to dynamical mass generation in QED3 at finite temperature is that the contribution from the transverse part of the photon propagator, in the Landau gauge, leads to infrared divergences in…

High Energy Physics - Theory · Physics 2007-05-23 D. J. Lee

We confront massive Proca-Nuevo gravity with cosmological observations. The former is a non-linear theory involving a massive spin-1 field, that can be extended incorporating operators of the Generalized Proca class, and when coupled to…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-27 Fotios K. Anagnostopoulos , Emanuel N. Saridakis

We study dynamical fermion mass generation in (2+1)-dimensional quantum electrodynamics with a gauge field coupling to massless Dirac fermions and non-relativistic scalar bosons. We calculate the fermion velocity renormalization and then…

Superconductivity · Physics 2015-12-08 Hao-Ran Chang , Jing-Rong Wang , Jing Wang