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The gap equation for fermions in a version of thermal QED in three dimensions is studied numerically in the Schwinger-Dyson formalism. The interest in this theory has been recently revived since it has been proposed as a model of…

High Energy Physics - Phenomenology · Physics 2009-09-25 George Triantaphyllou

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 consider a coupled system of Schwinger-Dyson equations for self-energy and vertex functions in QED_3. Using the concept of a semi-amputated vertex function, we manage to decouple the vertex equation and transform it in the…

High Energy Physics - Theory · Physics 2009-10-31 N. E. Mavromatos , J. Papavassiliou

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

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

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

Dynamical fermion mass generation is studied in the three-dimensional Thirring model reformulated as a gauge theory by introducing hidden local symmetry. The analysis by use of Schwinger-Dyson equation is shown to exhibit a critical…

High Energy Physics - Phenomenology · Physics 2007-05-23 Taichi Itoh , Yoonbai Kim , Masaki Sugiura , Koichi Yamawaki

Some quantum properties of QED3 are studied with the help of an exact evolution equation of the effective action with the bare fermion mass. The resulting effective theory and the occurrence of a dynamical mass are discussed in the…

High Energy Physics - Theory · Physics 2009-11-10 Jean Alexandre

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

Based on the Schwinger-Dyson (SD) equation, the fermion mass generation is further studied in the D(2<D<4)-dimensional Thirring model as a gauge theory previously proposed. By using a certain approximation to the kernel, we analytically…

High Energy Physics - Theory · Physics 2009-10-30 M. Sugiura

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

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 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 discuss fermion mass generation in unified models where QCD and technicolor (or any two strongly interacting theories) have their Schwinger-Dyson equations coupled. In this case the technicolor (TC) and QCD self-energies are modified in…

High Energy Physics - Phenomenology · Physics 2020-08-26 A. Doff , A. A. Natale

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 describe a simple mechanism to break electroweak symmetry dynamically as well as to generate a large fermion mass hierarchy. The mechanism is displayed within the framework of a simple left-right symmetric model. The model has exact…

High Energy Physics - Phenomenology · Physics 2009-09-25 P. Jain , D. W. McKay

In the case of nonzero fermion mass, within a range of Ansatze for the full fermion-boson vertex, we show that Dyson-Schwinger equation for the fermion propagator in QED3 has two qualitatively distinct dynamical chiral symmetry breaking…

Nuclear Theory · Physics 2015-06-16 Hui-xia Zhu , Hong-tao Feng , Wei-min Sun , Hong-shi Zong

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 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

We study the non-perturbative phenomena of Dynamical Mass Generation and Confinement by truncating at the non-perturbative level the Schwinger-Dyson equations in Maxwell-Chern-Simons planar quantum electrodynamics. We obtain numerical…

High Energy Physics - Phenomenology · Physics 2015-03-19 Saúl Sánchez Madrigal , Christoph P. Hofmann , Alfredo Raya
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