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A Lagrangian for quantum electrodynamics is found which makes it explicit that the photon mass is eventually set to zero in the physical part on observational ground. It remains possible to obtain a counterterm Lagrangian where the only…

Mathematical Physics · Physics 2007-05-23 Giampiero Esposito

We exploit the fact that, in Minkowski space-time, gamma matrices are possibly more fundamental than the metric to describe how gauge invariance at perturbative level enforces a Lagrangian for spinor electrodynamics with massless photons.…

High Energy Physics - Phenomenology · Physics 2008-11-26 Giampiero Esposito

In this paper, a formulation, which is completely established on a quantum ground, is presented for basic contents of quantum electrodynamics (QED). This is done by moving away, from the fundamental level, the assumption that the spin space…

General Physics · Physics 2020-06-16 Wen-ge Wang

In this note we continue to pursue the question whether gauge theories can be represented in terms of effective "scalar" degrees of freedom. We provide such a consistent representation for a free photon theory in 3+1 dimensions. Building on…

High Energy Physics - Theory · Physics 2016-08-08 Ibrahim Burak Ilhan , Alex Kovner

We present the quantum field description of Galilean electrodynamics minimally coupled to massless Galilean fermion in (3 + 1) dimensions. At the classical level, the Lagrangian is obtained as a null reduction of a relativistic theory in…

High Energy Physics - Theory · Physics 2022-08-09 Kinjal Banerjee , Aditya Sharma

We derive an arbitrary-gauge criterion under which condensed matter within an electromagnetic field may transition to a photon condensed phase. Previous results are recovered by selecting the Coulomb-gauge wherein photon condensation can…

Quantum Physics · Physics 2023-05-24 Dominic M. Rouse , Adam Stokes , Ahsan Nazir

Gauge theory underpins the quantum field theories of the standard model, and in a previous paper was shown via a geometric approach to describe classical electromagnetism in a form which approximates QED. Here we formalize and generalize…

General Physics · Physics 2024-10-03 Adam Marsh

Gauge invariance, a core principle in electrodynamics, has two separate meanings. One concept treats the photon as the gauge particle for electrodynamics. It is based on symmetries of the Lagrangian, and requires no mention of electric or…

General Physics · Physics 2022-02-08 H. R. Reiss

A relativistic version of the correspondence principle, a limit in which classical electrodynamics may be derived from QED, has never been clear, especially when including gravitational mass. Here we introduce a novel classical field theory…

General Physics · Physics 2023-10-02 Adam Marsh

According to the conventional concept of the gauge field theory, the local gauge invariance excludes the possibility of giving a mass to the gauge boson without resorting to the Higgs mechanism because the Lagrangian constructed by adding a…

High Energy Physics - Theory · Physics 2007-05-23 Jun-chen Su

We derive the effective masses for photons in unmagnetized plasma waves using a quantum field theory with two vector fields (gauge fields). In order to properly define the quantum field degrees of freedom we re-derive the classical wave…

High Energy Physics - Theory · Physics 2009-08-03 J. T. Mendonca , P. Castelo Ferreira

The quantum field theory of gravitation is constructed in terms of Lagrangian density of Dirac fields which couple to the electromagnetic field $A_\mu$ as well as the gravitational field $\cal G$. The gravity appears in the mass term as $…

General Physics · Physics 2008-04-17 Takehisa Fujita

The mathematical logic of a true nature of mirror symmetry expresses, in the case of the Dirac Lagrangian, the ideas of the left- and right-handed photons referring to long- and short-lived particles, respectively. Such a difference in…

General Physics · Physics 2017-03-20 Rasulkhozha S. Sharafiddinov

The construction of an alternative electromagnetic theory that preserves Lorentz and gauge symmetries, is considered. We start off by building up Maxwell electrodynamics in (3+1)D from the assumption that the associated Lagrangian is a…

High Energy Physics - Theory · Physics 2015-05-19 M. V. S. Fonseca , A. A. Vargas-Paredes

We develop a complete formulation of quantum gauge invariance in light-front dynamics for interacting theories with massless vector gauge fields in the framework of null-plane causal perturbation theory. We apply the general results to…

High Energy Physics - Theory · Physics 2022-12-07 O. A. Acevedo , B. M. Pimentel

The quantization of the electroweak theory is performed starting from the Lagrangian given in the so-called unitary gauge in which the unphysical Goldstone fields disappear. In such a Lagrangian, the unphysical longitudinal components of…

High Energy Physics - Theory · Physics 2007-05-23 Jun-Chen Su

Free vector fields, satisfying the Lorenz condition, are investigated in details in the momentum picture of motion in Lagrangian quantum field theory. The field equations are equivalently written in terms of creation and annihilation…

High Energy Physics - Theory · Physics 2007-05-23 Bozhidar Z. Iliev

We argue that calculations in QED at finite temperature are more conveniently carried out in the Coulomb gauge, in which only the physical photon degrees of freedom play a rol and are thermalized. We derive the photon propagator in this…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. C. D'Olivo , J. F. Nieves , M. Torres , E. Tututi

We propose a reformulation of electrodynamics in terms of a {\it physical} vector potential entirely free of gauge ambiguities. Quantizing the theory leads to a propagator that is gauge invariant by construction in this reformulation, in…

High Energy Physics - Theory · Physics 2010-12-08 Parthasarathi Majumdar , Srijit Bhattacharjee

We show that the Power-Zienau-Woolley picture of the electrodynamics of nonrelativistic neutral particles (atoms) can be derived from a gauge-invariant Lagrangian without making reference to any gauge whatsoever in the process. This…

Quantum Physics · Physics 2021-09-21 A. Vukics , G. Kónya , P. Domokos
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