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Related papers: Dynamical Mass in Strongly Coupled QED

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We study in details on how gauge bosons can acquire mass when the chiral symmetry dynamically breaks down for massless gauge theory without scalars. Introducing dynamical scalar fields into the original gauge theory, we show that when the…

High Energy Physics - Theory · Physics 2007-05-23 Takayuki Matsuki , Masashi Shiotani

Recently a new dynamical symmetry breaking model of electroweak interactions was proposed based on interacting fermions. Two fermions of different SU(2) representations form a symmetry breaking condensate and generate the lepton and quark…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. Cynolter , E. Lendvai

We investigate the critical behaviour of a three-dimensional lattice $\chiU\phi_3$ model in the chiral limit. The model consists of a staggered fermion field, a U(1) gauge field (with coupling parameter $\beta$) and a complex scalar field…

High Energy Physics - Lattice · Physics 2009-10-31 I. M. Barbour , N. Psycharis , E. Focht , W. Franzki , J. Jersak

Dynamical chiral symmetry breaking (D$\chi$SB) is studied within ($2+1$)-dimensional QED with $N$ four-component fermions. The leading and next-to-leading orders of the $1/N$ expansion are computed exactly. The analysis is carried out in an…

High Energy Physics - Theory · Physics 2016-12-15 A. V. Kotikov , S. Teber

We consider massive $SU(N)$ gauge theory with fermions. Gauge bosons become massive due to the interaction with the scalar field, whose vacuum average provides the spontaneous breakdown of gauge symmetry. We investigate Dyson - Schwinger…

High Energy Physics - Phenomenology · Physics 2015-01-06 M. A. Zubkov

We investigate dynamical chiral symmetry breaking in vector-like gauge theories in $D$ dimensions with ($D-4$) compactified extra dimensions, based on the gap equation (Schwinger-Dyson equation) and the effective potential for the bulk…

High Energy Physics - Phenomenology · Physics 2009-11-07 V. Gusynin , M. Hashimoto , M. Tanabashi , K. Yamawaki

In the quenched approximation, the gauge covariance properties of three vertex Ans\"{a}tze in the Schwinger-Dyson equation for the fermion self energy are analysed in three- and four- dimensional quantum electrodynamics. Based on the…

High Energy Physics - Theory · Physics 2010-03-04 Conrad J. Burden , Craig D. Roberts

We study chiral symmetry breaking in QED when a uniform external magnetic field is present. We calculate higher order corrections to the dynamically generated fermion mass and find them to be small. In so doing we correct an error in the…

High Energy Physics - Theory · Physics 2007-05-23 P. Jasinski , C. N. Leung

Over the past few years three dimensional Quantum Electrodynamics (QED$_3$) has attracted a lot of attention, because it may be an effective theory for the underdoped and non-superconducting region of the phase diagram of high $T_c$ cuprate…

Superconductivity · Physics 2009-04-17 Costas Strouthos , John B. Kogut

In three dimensional Maxwell-Chern-Simons massless scalar electrodynamics with $ \phi^6$ coupling, the $U(1)$ symmetry is spontaneously broken at two loop order regardless of the presence or absence of the Maxwell term. Dimensional…

High Energy Physics - Theory · Physics 2015-06-26 Pang-Ning Tan , Bayram Tekin , Yutaka Hosotani

We study how the Chern-Simons term effects the dynamically generated fermion mass in $(2+1)D$ Quantum Electrodynamics in the framework of large $N$ expansion. We find that when the Chern-Simons term is present half of the fermions get mass…

High Energy Physics - Theory · Physics 2007-05-23 Deog Ki Hong

The restriction of space-time dimensions to "2+1" leads us to a novel quantum field theory which has the Chern-Simons term in its action. This term changes the nature of gauge interaction by giving a so-called topological mass to a gauge…

High Energy Physics - Theory · Physics 2007-05-23 Toyoki Matsuyama , Hideko Nagahiro

We study the $SU(3)_L\otimes U(1)_X$ extension of the Standard model with a strong U(1) coupling. We argue that current experiments limit this coupling to be relatively large. The model is dynamically broken to the Standard $SU(2)_L \otimes…

High Energy Physics - Phenomenology · Physics 2009-10-31 Prasanta Das , Pankaj Jain

We study the dynamical electroweak symmetry breaking (DEWSB) in the $D (=6,8,...)$-dimensional bulk with compactified extra dimensions. We identify the critical binding strength for triggering the DEWSB, based on the ladder Schwinger-Dyson…

High Energy Physics - Phenomenology · Physics 2017-08-23 Michio Hashimoto , Masaharu Tanabashi , Koichi Yamawaki

We reformulate the Thirring model in $D$ $(2 \le D < 4)$ dimensions as a gauge theory by introducing $U(1)$ hidden local symmetry (HLS) and study the dynamical mass generation of the fermion through the Schwinger-Dyson (SD) equation. By…

High Energy Physics - Theory · Physics 2009-10-28 Taichi Itoh , Yoonbai Kim , Masaki Sugiura , Koichi Yamawaki

The coupled system of renormalized Dyson-Schwinger equations for the electron self-energy and the photon propagator are supplied with the tree level vertex as Ansatz for the renormalized three point function. The system is investigated…

High Energy Physics - Phenomenology · Physics 2009-09-25 Kurt Langfeld

We have studied the chiral phase transition in three-dimensional QED in the presence of a Chern--Simons term for the gauge field. There exists a phase where the chiral symmetry is broken dynamically and we have determined the critical line…

High Energy Physics - Phenomenology · Physics 2009-10-28 Kei-Ichi Kondo , Pieter Maris

We study the effect of a refined electron-photon vertex on the dynamical breaking of chiral symmetry in reduced quantum electrodynamics. We construct an educated {\em ansatz} for this vertex which satisfies the required discrete symmetries…

High Energy Physics - Phenomenology · Physics 2022-11-23 L. Albino , A. Bashir , A. J. Mizher , A. Raya

We consider reduced quantum electrodynamics (RQED$_{d_\gamma,d_e}$) a model describing fermions in a $d_e$-dimensional space-time and interacting via the exchange of massless bosons in $d_\gamma$-dimensions ($d_e \leq d_\gamma$). We compute…

High Energy Physics - Theory · Physics 2021-10-08 S. Metayer , S. Teber

By computing the two-loop effective potential of the D=3 N=1 supersymmetric Chern-Simons model minimally coupled to a massless self-interacting matter superfield, it is shown that supersymmetry is preserved, while the internal U(1) and the…

High Energy Physics - Theory · Physics 2012-06-20 E. A. Gallegos , A. J. da Silva