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To discuss one-photon polarization states we find an explicit form of the Wigner's little group element in the massless case for arbitrary Lorentz transformation. As is well known, when analyzing the transformation properties of the…

Quantum Physics · Physics 2009-11-10 Pawel Caban , Jakub Rembielinski

We describe an alternate gauge electroweak model that permits neutrinos with mass, and at the same time explains why right-handed neutrinos do not appear in weak interactions. This is a local gauge theory involving a space [V ] of three…

General Physics · Physics 2010-12-07 Bill Dalton

We discuss what can be learned about unparticle physics by studying simple quantum field theories in one space and one time dimension. We argue that the exactly soluble 2D theory of a massless fermion coupled to a massive vector boson, the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Howard Georgi , Yevgeny Kats

In this paper, the massless Schwinger model or two dimensional quantum electrodynamics is exactly solved on a Riemann surface. The partition function and the generating functional of the correlation functions involving the fermionic…

High Energy Physics - Theory · Physics 2011-08-11 Franco Ferrari

Chern-Simons electrodynamics in 2+1-spacetimes with torsion is investigated. We start from the usual Chern-Simons (CS) electrodynamics Lagrangian and Cartan torsion is introduced in the covariant derivative and by a direct coupling of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. C. Garcia de Andrade

Maxwell's equations in the vacuum can be formally cast in the form of Schr\"odinger's equation. Unfortunately, the vector to which this equation directly applies is not a wavefunction: its amplitude squared is not a probability density but…

Quantum Physics · Physics 2025-07-30 Stéphane Virally

We study the form factors of vector mesons using a covariant fermion field theory model in $(3+1)$ dimensions. Performing a light-front calculation in the $q^+ =0$ frame in parallel with a manifestly covariant calculation, we note the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Bernard L. G. Bakker , Ho-Meoyng Choi , Chueng-Ryong Ji

The proof of gauge invariance of the quantum electrodynamics of photons and electrons does not apply directly to the quantum electrodynamics of photons, electrons, and nuclei because multi-electron atoms belong to the space of asymptotic…

High Energy Physics - Phenomenology · Physics 2023-05-26 M. I. Krivoruchenko

It is generally assumed that quantum field theory (QFT) is gauge invariant. However it is well known that non-gauge invariant terms appear in various calculations. This problem was recently examined in [9] for a "simple" field theory and it…

Quantum Physics · Physics 2007-11-12 Dan Solomon

We show that QED in the Coulomb gauge can be considered as a low energy linear approximation of a non-linear $\sigma $-type model where the photon emerges as a vector Goldstone boson related to the spontaneous breakdown of Lorentz symmetry…

High Energy Physics - Theory · Physics 2007-05-23 J. L. Chkareuli , C. D. Froggatt , R. N. Mohapatra , H. B. Nielsen

A five-dimensional theory of relativity is presented which suggests that gravitation and electromagnetism may be unified using a degenerate metric. There are four fields (in the four-dimensional sense): a tensor field, two vector fields and…

General Physics · Physics 2018-12-06 Trevor P. Searight

We present a new concept of nonlinear dynamics of incoherent superstrong radiation in plasmas. Recently we have disclosed a novel mechanism of the establishment of equilibrium between a photon and a dense photon bunch through the exchange…

Astrophysics · Physics 2010-06-04 Nodar L. Tsintsadze , Levan N. Tsintsadze

We propose a quantum model for the vacuum filled of virtual particle pairs. The main originality of this model is to define a density and a life-time of the virtual particles. Compared to the usual QED $(p,E)$ framework, we add here the…

General Physics · Physics 2011-06-21 M. Urban , F. Couchot , X. Sarazin

We study the light-front covariance of a vector-meson decay constant using a manifestly covariant fermion field theory model in $(3+1)$ dimensions. The light-front zero-mode issues are analyzed in terms of polarization vectors and method of…

High Energy Physics - Phenomenology · Physics 2013-08-22 Ho-Meoyng Choi , Chueng-Ryong Ji

We consider the problem of the characteristics of mass spectra in the doubly symmetric theory of fields transforming under the proper Lorentz group representations decomposable into an infinite direct sum of finite-dimensional irreducible…

High Energy Physics - Theory · Physics 2007-05-23 L. M. Slad

A manifestly covariant treatment of the free quantum eletromagnetic field, in a linear covariant gauge, is implemented employing the Schwinger's Variational Principle and the B-field formalism. It is also discussed the abelian Proca's model…

High Energy Physics - Theory · Physics 2009-11-11 C. A. M. de Melo , B. M. Pimentel , P. J. Pompeia

The unity of symmetry laws emphasizes, in the case of a mirror CP-even Dirac Lagrangian, the regularity that the left- and right-handed axial-vector photons refer to long- and short-lived bosons of true neutrality, respectively. Such a…

General Physics · Physics 2022-12-01 Rasulkhozha S. Sharafiddinov

We study the gauge theories on noncommutative space. We employ the idea of the covariant position to understand the linear and angular momenta, the center of mass position, and to express all gauge invariant observables including the Wilson…

High Energy Physics - Theory · Physics 2014-11-18 Dongsu Bak , Kimyeong Lee , Jeong-Hyuck Park

We use the in-in or Schwinger-Keldysh formalism to explore the construction and interpretation of effective field theories for time-dependent systems evolving out of equilibrium. Starting with a simple model consisting of a heavy and a…

High Energy Physics - Theory · Physics 2015-06-11 Hael Collins , R. Holman , Andreas Ross

We study a novel type of extensions of the Standard Model which include a hard mass term for the U(1) gauge field and, optionally, the additional scalar multiplets spontaneously violating the electric charge conservation. Contrary to the…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. Yu. Ignatiev , G. C. Joshi