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The Standard Model (SM) ascribes the observed mass of elementary particles to an effective interaction between basis states defined without mass terms and a scalar potential associated with the Higgs boson. In the relativistic field theory…

General Physics · Physics 2022-02-01 M. Land

In terms of the relational approach to space-time geometry and physical interactions, we show that the Dirac equation for a free fermion in the momentum representation can be obtained starting from a binary system of complex relations…

Mathematical Physics · Physics 2022-12-06 Anton V. Solov'yov

There is ambitious pretension formulated by Weinberg \cite{W} that {\it any relativistic quantum theory will look at sufficiently low energy like a quantum field theory.} It is based on the observation that for formulation of quantum field…

High Energy Physics - Theory · Physics 2024-10-17 B. Sazdović

Noticing that really the fermions of the Standard Model are best thought of as Weyl - rather than Dirac - particles (relative to fundamental scales located at some presumably very high energies) it becomes interesting that the experimental…

High Energy Physics - Theory · Physics 2009-09-25 Holger Bech Nielsen , Svend Erik Rugh

Spin is a fundamental degree of freedom, whose existence was proven by Dirac for an electron by imposing the relativity to quantum mechanics, leading to the triumph to derive the Dirac equation. Spin of a photon should be linked to…

Optics · Physics 2024-07-23 Shinichi Saito

Using a recent understanding of mass generation for Yang-Mills theory and a quartic massless scalar field theory mapping each other, we show that when such a scalar field theory is coupled to a gauge field and Dirac spinors, all fields…

High Energy Physics - Theory · Physics 2010-12-30 Marco Frasca

In this work we show that Weyl particles can exist at different states in zero electromagnetic field, either as free particles, or at localized states described by a parameter with dimensions of mass. We also calculate the electromagnetic…

In effective quantum field theory, a spin-1 vector boson can have a technically natural small mass that does not originate from the Higgs mechanism. For such theories, which may be written in St\"uckelberg form, there is no point in field…

High Energy Physics - Theory · Physics 2019-08-07 Matthew Reece

Using the Clifford and the Spin-Clifford formalisms we prove that the classical relativistic Hamilton Jacobi equation for a charged massive (and spinning) particle interacting with an external electromagnetic field is equivalent to a…

Mathematical Physics · Physics 2017-02-24 Wadyr A. Rodrigues , Samuel A. Wainer

We propose a minimal unified model of the electroweak interactions without a Higgs particle in the final physical spectrum. This is achieved through adding a nonlinear constraint for the Higgs field in the Lagrangian in which the field's…

High Energy Physics - Phenomenology · Physics 2007-05-23 I. Vitev , V. Rizov

Recently, a bundle theoretic description of massive single-particle state spaces, which is better suited for Relativistic Quantum Information Theory than the ordinary Hilbert space description, has been suggested. However, the mathematical…

Mathematical Physics · Physics 2023-09-19 Heon Lee

We present a solution to the naturalness problem of the electroweak scale based on a change of variable in the Fourier space of non supersymmetric nature that transforms a boson into a fermion and viceversa. This is exemplified for that…

High Energy Physics - Phenomenology · Physics 2017-06-12 Amir H. Fariborz , Renata Jora

We explore the Higgs-Gauge configuration space in the standard electroweak theory. We outline a general prescription that uses the non-trivial topology associated with the gauge group of the theory, to find known solutions of the Euclidean…

High Energy Physics - Theory · Physics 2007-05-23 Vishesh Khemani

We consider the class of spinning particle theories, whose quantization corresponds to the continuous helicity representation of the Poincare group. The classical trajectories of the particle are shown to lie on the parabolic cylinder with…

High Energy Physics - Theory · Physics 2022-03-14 D. S. Kaparulin , S. L. Lyakhovich , I. A. Retuntsev

We have considered the problem of the influence of inhomogeneity of gravitational field on transport effects predicted by the field theory describing massless Dirac fermions in the Maxwell and dark matter background. As a model of dark…

General Relativity and Quantum Cosmology · Physics 2026-04-27 Marek Rogatko , Karol I. Wysokinski

We discuss Preheating after an inflationary stage driven by the Standard Model (SM) Higgs field non-minimally coupled to gravity. We find that Preheating is driven by a complex process in which perturbative and non-perturbative effects…

High Energy Physics - Phenomenology · Physics 2014-11-20 Daniel G. Figueroa

The Dirac equation describes the motion of electrons in electromagnetic field, but it considers spin as intrinsic property without any real motion. We postulate spin as the intrinsic feature of vacuum, in which the incident electromagnetic…

General Physics · Physics 2009-05-08 Antal Rockenbauer

We show that weak scale vector-like fermions with order one couplings to the Higgs can lead to a novel mechanism for a strongly first-order electroweak phase transition (EWPhT), through their tendency to drive the Higgs quartic coupling…

High Energy Physics - Phenomenology · Physics 2013-05-08 Hooman Davoudiasl , Ian Lewis , Eduardo Ponton

The article is a natural continuation of our paper {\em Quantum scalar field in FRW Universe with constant electromagnetic background}, Int. J. Mod. Phys. {\bf A12}, 4837 (1997). We generalize the latter consideration to the case of massive…

High Energy Physics - Theory · Physics 2014-11-18 S. P. Gavrilov , D. M. Gitman , A. E. Goncalves

A theory where the gravitational, Maxwell and Dirac fields (mathematically represented as particular sections of a convenient Clifford bundle) are supposed fields in Faraday's sense living in Minkowski spacetime is presented. In our theory…

Mathematical Physics · Physics 2016-01-22 Waldyr A. Rodrigues , Samuel Augusto Wainer