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We investigate the dynamical generation of fermion mass in quantum electrodynamics (QED). This non-perturbative study is performed using a truncated set of Schwinger-Dyson equations for the fermion and the photon propagator. First, we study…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. C. R. Bloch

We study the dynamical generation of masses for fundamental fermions in quenched quantum electrodynamics (qQED) at finite temperature in the bare vertex approximation, using Schwinger-Dyson equations (SDE). Motivated by perturbation theory,…

High Energy Physics - Phenomenology · Physics 2009-11-10 Alejandro Ayala , Adnan Bashir

We study the dynamical mass generation in Pseudo Quantum Electrodynamics (PQED) coupled to the Gross-Neveu (GN) interaction, in (2+1) dimensions, at both zero and finite temperatures. We start with a gapless model and show that, under…

High Energy Physics - Theory · Physics 2021-01-27 Luis Fernández , Reginaldo O. Corrêa , Van Sérgio Alves , Leandro O. Nascimento , Francisco Peña

We study unquenched QED in four dimensions using renormalised Schwinger-Dyson equations and focus on the behaviour of the fermion and photon propagators. For this purpose we use an improved Kizilersu-Pennington (KP) vertex which respects…

High Energy Physics - Phenomenology · Physics 2013-10-14 Ayse Kizilersu , Tom Sizer , Anthony G. Williams

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

A Lorentz violating modification of massless QED is proposed, with higher order space derivatives for the photon field. The fermion dynamical mass generation is studied with the Schwinger-Dyson approach, and it is found that the resulting…

High Energy Physics - Phenomenology · Physics 2013-03-11 Jean Alexandre

We investigate dynamical mass generation in pseudo-Proca quantum electrodynamics (PPQED) using Schwinger--Dyson equations in rainbow-quenched and unquenched approximations. The (3+1)D gauge-field mass $m$, fine-structure constant $\alpha$,…

High Energy Physics - Theory · Physics 2025-11-18 Helio G. Barroso , Van Sérgio Alves , Leandro O. Nascimento

We study the dynamical generation of masses for fundamental fermions in quenched quantum electrodynamics, in the presence of magnetic fields of arbitrary strength, by solving the Schwinger-Dyson equation (SDE) for the fermion self-energy in…

High Energy Physics - Phenomenology · Physics 2008-11-26 Eduardo Rojas , Alejandro Ayala , Adnan Bashir , Alfredo Raya

A nonperturbative Schwinger-Dyson analysis of mass generation is presented for a non-Hermitian PT-symmetric field theory in four dimensions of an axion coupled to a Dirac fermion.The model is motivated by phenomenological considerations.The…

High Energy Physics - Phenomenology · Physics 2023-01-04 N. E. Mavromatos , Sarben Sarkar , A. Soto

We summarise results on the infrared behaviour of Landau gauge QCD from the Green's functions approach and lattice calculations. Approximate, nonperturbative solutions for the ghost, gluon and quark propagators as well as first results for…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. S. Fischer , F. Llanes-Estrada , R. Alkofer

We study the dynamical generation of masses for fundamental fermions in quenched quantum electrodynamics in the presence of weak magnetic fields using Schwinger-Dyson equations. Contrary to the case where the magnetic field is strong, in…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alejandro Ayala , Adnan Bashir , Alfredo Raya , Eduardo Rojas

Dynamical mass generation in a three-dimensional version of finite-temperature QED is studied with the help of Schwinger-Dyson equations in the real-time formalism. We go beyond the bare-vertex approximation and include wave-function…

High Energy Physics - Phenomenology · Physics 2009-10-31 George Triantaphyllou

In this work, we provide a non-perturbative description of the phenomenon of dynamical mass generation in the case of quantum electrodynamics in $2+1$ dimensions. We will use the Kugo-Ojima-Nakanishi formalism to conclude that the physical…

High Energy Physics - Theory · Physics 2019-12-06 G. B. de Gracia , B. M. Pimentel , L. Rabanal

Numerical study of the Schwinger-Dyson equation (SDE) for the fermion propagator (FP) to obtain dynamically generated chirally asymmetric solution in an arbitrary covariant gauge $\xi$ is a complicated exercise specially if one employs a…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Bashir , A. Raya

A recently proposed regularization-independent method is used for the first time to solve the renormalized fermion Schwinger-Dyson equation numerically in quenched QED$_4$. The Curtis-Pennington vertex is used to illustrate the technique…

High Energy Physics - Phenomenology · Physics 2010-03-04 A. Kizilersu , T. Sizer , A. G. Williams

We investigate a proposal to address several outstanding shortcomings of the perturbative Standard Model (SM) of particle physics. The appeal of this proposal is that these features are a manifestation of the non-perturbative sector of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. D. Bashford

In quenched QED we construct a non-perturbative fermion-boson vertex that ensures the fermion propagator satisfies the Ward-Takahashi identity, is multiplicatively renormalizable, agrees with perturbation theory for weak couplings and has a…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. Bashir , M. R. Pennington

Dynamical mass generation of a two-component fermion in $QED_3$ with a Chern-Simons term is investigated by solving the Schwinger-Dyson equation formulated in the lowest ladder approximation. Dependence of the dynamical fermion mass on a…

High Energy Physics - Theory · Physics 2009-10-31 Toyoki Matsuyama , Hideko Nagahiro , Satoko Uchida

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 Dean Lee , Pieter Maris

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
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