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We perform the renormalization group analysis on the dynamical symmetry breaking under strong external magnetic field, studied recently by Gusynin, Miransky and Shovkovy. We find that any attractive four-Fermi interaction becomes strong in…

High Energy Physics - Theory · Physics 2008-11-26 D. K. Hong , Y. Kim , S. -J. Sin

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

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

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

The dynamical symmetry breaking in a quasi-(1+1)-dimensional relativistic model is investigated. The motions of particles in intrachain are described as a relativistic electron-hole gas, while the interchain hopping term is introduced as a…

Superconductivity · Physics 2016-09-08 Tadafumi Ohsaku

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

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…

We establish a scenario where fluctuations of new degrees of freedom at a quantum phase transition change the nature of a transition beyond the standard Landau-Ginzburg paradigm. To this end we study the quantum phase transition of gapless…

Strongly Correlated Electrons · Physics 2017-10-10 Laura Classen , Igor F. Herbut , Michael M. Scherer

Dynamical spontaneous breaking of some discrete symmetries including special parities and time reversal and their restoration at finite temperature T are researched in 3D Gross-Neveu model by means of Schwinger-Dyson equation in the…

High Energy Physics - Theory · Physics 2009-10-31 Bang-Rong Zhou

We study chiral symmetry breaking for fundamental charged fermions coupled electromagnetically to photons with the inclusion of four-fermion contact self-interaction term. We employ multiplicatively renormalizable models for the photon…

High Energy Physics - Phenomenology · Physics 2013-05-30 F. Akram , A. Bashir , L. X. Gutierrez-Guerrero , B. Masud , J. Rodriguez-Quintero , C. Calcaneo-Roldan , M. E. Tejeda-Yeomans

It is shown the analysis [1] for QED in 2+1 dimensions with N four-component fermions in the leading and next-to-leading orders of the 1/N expansion. As it was demonstrated in [1] the range of the admissible values N, where the dynamical…

High Energy Physics - Phenomenology · Physics 2015-05-27 A. V. Kotikov

Four-fermion interaction models are considered to be prototype models for dynamical symmetry breaking.The present review deals with recent developments in the studies of dynamical symmetry breaking in the four-fermion interaction models and…

High Energy Physics - Theory · Physics 2008-11-26 T. Inagaki , T. Muta , S. D. Odintsov

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

The canonical Gross-Neveu model for $N$ two-component Dirac fermions in $2+1$ dimensions suffers a continuous phase transition at a critical interaction $g_{c1} \sim 1/N$ at large $N$, at which its continuous symmetry $\text{SO}(2N)$ is…

High Energy Physics - Theory · Physics 2024-05-27 SangEun Han , Igor F. Herbut

We compute the effects of strong Hubbardlike local electronic interactions on three-dimensional four-component massless Dirac fermions, which in a noninteracting system possess a microscopic global U(1)$\otimes$SU(2) chiral symmetry. A…

Strongly Correlated Electrons · Physics 2021-01-06 Andras Szabo , Bitan Roy

A heavy fourth generation with a mass of the order of 400 GeV or more could trigger dynamical electroweak symmetry breaking by forming condensates through the exchange of a fundamental Higgs scalar doublet. The dynamics leading to these…

High Energy Physics - Phenomenology · Physics 2015-05-20 P. Q. Hung , Chi Xiong

We discuss the electroweak gauge symmetry breaking triggered by a new strong attractive interaction to condensate fermion-antifermion, and topcolor is a prototype. To deal with the fermion pairing, a general method based on the…

High Energy Physics - Phenomenology · Physics 2011-01-13 V. H. Nguyen , X. Y. Pham

We consider the effects of weak quenched fermionic disorder on the quantum-phase transition between the Dirac semimetal and charge density wave (CDW) insulator in two spatial dimensions. The symmetry breaking transition is described by the…

Strongly Correlated Electrons · Physics 2022-02-25 Mikolaj D. Uryszek , Frank Krüger

Chiral symmetry breaking comes from the mass dynamically generated through interaction of Dirac fermions for both quantum electrodynamics in (2+1)D (QED3) and (3+1)D (QED4). In QED3, the presence of a Chern-Simons (CS) parameter affects the…

High Energy Physics - Theory · Physics 2022-03-14 Rodrigo F. Ozela , Van Sérgio Alves , Gabriel C. Magalhães , Leandro O. Nascimento

In this talk we present a numerical lattice study of an SU(3) gauge model where an SU(2) doublet of non-Abelian strongly interacting fermions is coupled to a complex scalar field doublet via a Yukawa and a Wilson-like term. The model enjoys…