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The free massless superparticle is reanalysed, in particular by performing the Gupta-Bleuler quantization, using the first and second class constraints of the model, and obtaining, as a result, the Weyl equation for the spinorial component…

High Energy Physics - Theory · Physics 2023-12-21 Roberto Casalbuoni , Daniele Dominici , Joaquim Gomis

A weakly interacting boson-fermion mixture model was investigated using Wisonian renormalization group analysis. This model includes one boson-boson interaction term and one boson-fermion interaction term. The scaling dimensions of the two…

Quantum Gases · Physics 2015-06-04 Boyang Liu , Jiangping Hu

One-dimensional spinless Bose and Fermi gases with contact interactions have the close interrelation via Girardeau's Bose-Fermi mapping, leading to the correspondences in their energy spectra and thermodynamics. However, correlation…

Quantum Gases · Physics 2018-01-19 Yuta Sekino , Shina Tan , Yusuke Nishida

Fermion masses can be generated through four-fermion condensates when symmetries prevent fermion bilinear condensates from forming. This less explored mechanism of fermion mass generation is responsible for making four reduced staggered…

High Energy Physics - Lattice · Physics 2016-11-23 Venkitesh Ayyar , Shailesh Chandrasekharan

Non-linear electrodynamics arising in the frames of field theories in noncommutative space-time is examined on the base of quaternion formalism. The problem of form-invariance of the corresponding nonlinear constitutive relations governed…

Mathematical Physics · Physics 2011-09-09 V. M. Red'kov , E. A. Tolkachev

It is shown that Weyl spinors in 4D Minkowski space are composed of primary fields of half-integer conformal weights. This yields representations of fermionic 2-point functions in terms of correlators of primary fields with a factorized…

High Energy Physics - Theory · Physics 2015-06-26 Rainer Dick

A theoretical study is made of conformal factors in certain types of physical theories based on classical differential geometry. Analysis of quantum versions of Weyl's theory suggest that similar field equations should be available in four,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Daniel C. Galehouse

We construct consistent interacting gauge theories for M conformal massless spin-2 fields ("Weyl gravitons") with the following properties: (i) in the free limit, each field fulfills the equation ${\cal B}^{\mu \nu} = 0$, where ${\cal…

High Energy Physics - Theory · Physics 2009-11-07 Nicolas Boulanger , Marc Henneaux , Peter van Nieuwenhuizen

Dynamical equations for fermion masses are derived using high scale universal mass generation and consequent mass evolution due to $SU(3), SU(2)$, and U(1$ gauge interaction. Assuming mass generation at the GUT scale $M=10^{14}$ GeV, one…

High Energy Physics - Phenomenology · Physics 2011-06-21 Yu. A. Simonov

In this work, we build a model to combine the mass generated from the Higgs mechanism and that from the dynamical chiral symmetry breaking mechanism. This is motivated by the fermion mass hierarchy that the neutrino mass is smaller than the…

General Physics · Physics 2025-02-04 Li-Gang Xia

We investigate the effects of four-fermion interactions on the phase diagram of strongly interacting theories for any representation as function of the number of colors and flavors. We show that the conformal window, for any representation,…

High Energy Physics - Phenomenology · Physics 2011-02-28 Hidenori S. Fukano , Francesco Sannino

A new dynamical symmetry breaking model of electroweak interactions is proposed based on interacting fermions. Two fermions of different SU_{L}(2) representations form a symmetry breaking condensate and generate the lepton and quark masses.…

High Energy Physics - Phenomenology · Physics 2009-01-07 G. Cynolter , E. Lendvai , G. Pocsik

The causal action principle is analyzed for a system of relativistic fermions composed of massive Dirac particles and neutrinos. In the continuum limit, we obtain an effective interaction described by classical gravity as well as the strong…

Mathematical Physics · Physics 2016-05-19 Felix Finster

In this paper we study the problem of neutral electro-weak interactions in a de Sitter geometry. We develop the formalism of reduction for the Proca field with the help of the solutions for the interacting fields and by using perturbative…

High Energy Physics - Theory · Physics 2023-11-27 Diana Dumitrele , Mihaela-Andreea Băloi , Cosmin Crucean

SU(2)xU(1) electroweak gauge model without Higgs sector is extended by a new vector field C interacting with leptons and quarks of both chiralities. This interaction is treated under a dynamical assumption in a self-consistent…

High Energy Physics - Phenomenology · Physics 2009-09-25 Jiri Hosek

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 effective potential for a scalar theory with $\lambda\phi^4$ interaction, coupled to a massless fermion through Yukawa interaction is calculated by summing over infinite number of two particle irreducible (2PI) diagrams of two different…

High Energy Physics - Theory · Physics 2026-04-28 Somnath Majumder , Krishnendu Mukherjee

Recently in the framework of a two-loop order calculation for an effective field theory of scalar and vector fields interacting with the metric field we have shown that for the cosmological constant term which is fixed by the condition of…

High Energy Physics - Theory · Physics 2019-12-10 J. Gegelia , Ulf-G. Meißner

We study the generation of fermion mass in a context where interactions break a discrete chiral symmetry. Then, fermion mass is not protected by a symmetry, no symmetry is broken by the generation of mass, and a vanishing mass no longer…

High Energy Physics - Theory · Physics 2024-09-20 Charlie Cresswell-Hogg , Daniel F. Litim

We consider the fermion mass renormalization due to the vector boson exchange within mesodynamics with nucleon and $\rho$ meson fields as well as quantum electrodynamics with electron and photon fields. The method of unitary clothing…

High Energy Physics - Phenomenology · Physics 2026-04-27 Yan Kostylenko , Aleksandr Shebeko