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We review dynamical mass generation in three and four dimensional Ableian gauge theories. The basic approach analyzed here is to solve Schwinger-Dyson equations in some approximations. In both cases, the coupling has to be larger than a…

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

We investigate two different models. In one of them massive fermions interact with a massive scalar field and in the other the fermion field is in an electrical field (QED2). The chiral condensates are calculated in one-loop approximation.…

High Energy Physics - Phenomenology · Physics 2021-01-26 V. G. Ksenzov

In the SM gauge symmetries and fermion content of neutrinos, charged leptons and quarks, we study the effective four-fermion operators of Einstein-Cartan type and their contributions to the Schwinger-Dyson equations of fermion self-energy…

High Energy Physics - Phenomenology · Physics 2016-11-18 She-Sheng Xue

I consider a theory of a real scalar and a fermion field, with a Yukawa interaction and a potential term that admits two degenerate minima at the tree level. The quantum vacuum energy difference between these two vacua can be calculated…

High Energy Physics - Theory · Physics 2018-08-08 Dimitrios Metaxas

We study Dyson-Schwinger equations for propagators of Dirac fermions interacting with a massive gauge boson in the ladder approximation. The equations have the form of the coupled nonlinear integral Fredholm equations of the second kind in…

High Energy Physics - Phenomenology · Physics 2009-11-25 Davor Palle

We non-perturbatively study the fermion spectrum in the chiral symmetric phase focusing on the effects of in-medium corrections for gauge boson. The fermion spectrum is derived by solving the Schwinger-Dyson equation (SDE) with ladder…

High Energy Physics - Phenomenology · Physics 2009-04-01 Masayasu Harada , Shunji Yoshimoto

Higgs, being the first discovery of a fundamental scalar field in the standard model (SM), opens the possibility of existence of other scalar or pseudo scalar particles in nature. Though it does not conclusively fulfill the role of…

High Energy Physics - Phenomenology · Physics 2019-11-01 Tajdar Mufti

We gauge the experimentally observed flavor (family) index of chiral lepton and quark fields and argue that the resulting non-vectorial SU(3)_F dynamics completely self-breaks. This breakdown generates fermion masses, which in turn trigger…

High Energy Physics - Phenomenology · Physics 2011-11-04 Petr Benes , Jiri Hosek , Adam Smetana

An exploratory numerical study of the influence of heavy fermion doublets on the mass of the Higgs boson is performed in the decoupling limit of a chiral $\rm SU(2)_L \otimes SU(2)_R$ symmetric Yukawa model with mirror fermions. The…

High Energy Physics - Lattice · Physics 2010-12-23 C. Frick , L. Lin , I. Montvay , G. Munster , M. Plagge , T. Trappenberg , H. Wittig

A two-Higgs doublet model with a discrete $Z_3$ symmetry acquires, in its scalar and gauge sectors, an accidental continuous $U(1)$ symmetry. One therefore finds, after spontaneous symmetry breaking of those symmetries, that a massless…

High Energy Physics - Phenomenology · Physics 2025-06-24 P. M. Ferreira , Tomás F. Pinto

Fermion masses and mixing matrices can be described in terms of spontaneously broken (global or gauge) flavor symmetries. We propose a little-Higgs inspired scenario in which an SU(2)xU(1) gauge flavor symmetry is spontaneously (and…

High Energy Physics - Phenomenology · Physics 2009-11-10 F. Bazzocchi , S. Bertolini , M. Fabbrichesi , M. Piai

The structure of effective potential surface of the Nambu$-$Jona-Lasinio (NJL) model with right-left asymmetric Majorana mass terms (corresponds to the single-flavor type-II seesaw situation of neutrino) is investigated. After the dynamical…

High Energy Physics - Phenomenology · Physics 2010-12-21 Tadafumi Ohsaku

We consider a 3+1 dimensional field theory at a Lifshitz point for a dynamical critical exponent z=3, with a scalar and a fermion field coupled via a Yukawa interaction. Using the non-perturbative Schwinger-Dyson approach we calculate…

High Energy Physics - Theory · Physics 2010-02-02 J. Alexandre , K. Farakos , P. Pasipoularides , A. Tsapalis

We nonperturbatively investigate a fermion spectrum at finite temperature in a chiral invariant linear sigma model. Coupled Schwinger-Dyson equations for fermion and boson are developed in the real time formalism and solved numerically.…

High Energy Physics - Phenomenology · Physics 2008-11-26 Masayasu Harada , Yukio Nemoto

We show that composite fermions with masses much smaller than the scale of confinement arise naturally in certain models which admit dynamical breakdown of chiral symmetry. The models are such that to leading order some of the fermions…

High Energy Physics - Phenomenology · Physics 2016-09-01 Pankaj Jain

We reconsider models of fermion masses and mixings based on a gauge anomalous horizontal U(1) symmetry. In the simplest model with a single flavon field and horizontal charges of the same sign for all Standard Model fields, only very few…

High Energy Physics - Phenomenology · Physics 2014-11-18 P. H. Chankowski , K. Kowalska , S. Lavignac , S. Pokorski

We built an extended 2HDM theory with a spontaneously broken $U(1) _{X}$ global symmetry, where the tree level Universal Seesaw Mechanism generates the mass hierarchy of the Standard Model charged fermions and the Zee-Babu mechanism…

High Energy Physics - Phenomenology · Physics 2024-10-25 A. E. Cárcamo Hernández , Diego Restrepo , Ivan Schmidt , Óscar Zapata

The aim of this work is to investigate the occurrence of two different spontaneous symmetry breakings {at} two levels of the description of fermion-scalar field model, by means of a set of gap equations and {with} a background field…

High Energy Physics - Theory · Physics 2022-06-29 A. A. Nogueira , F. L. Braghin

We consider fermion-gauge couplings in the Wilson-Yukawa approach for lattice chiral gauge theories. At the leading order of a fermionic hopping parameter expansion we find that the fermion-gauge coupling has a chiral and tree-like…

High Energy Physics - Lattice · Physics 2017-02-01 Sinya Aoki

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