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A recent suggestion that vector potentials in electrodynamics (ED) are nontensorial objects under 4D frame rotations is found to be both unnecessary and confusing. As traditionally used in ED, a vector potential $A$ always transforms…

General Physics · Physics 2015-09-24 C. W. Wong

By considering gauge transformations on the macroscopic Maxwell's equations, a two dimensional gauge field, with its pseudo magnetic field in the real space, is identified as tilted anisotropy in the constitutive parameters. We show that…

Optics · Physics 2015-08-05 Fu Liu , Jensen Li

In the first part of this work (http://www.arxiv.org/abs/quant-ph/0509044), it was shown that the Klein-Gordon-Maxwell electrodynamics in the unitary gauge allows natural elimination of the particle wave function and describes independent…

Quantum Physics · Physics 2008-12-31 Andrey Akhmeteli

The Aharonov-Bohm effect on the noncommutative plane is considered. Developing the path integral formulation of quantum mechanics, we find the propagation amplitude for a particle in a noncommutative space. We show that the corresponding…

High Energy Physics - Theory · Physics 2009-10-07 M. Chaichian , A. Demichev , P. Presnajder , M. M. Sheikh-Jabbari , A. Tureanu

In these lecture notes, we present a self-contained discussion of planar gauge theories broken down to some finite residual gauge group H via the Higgs mechanism. The main focus is on the discrete H gauge theory describing the long distance…

High Energy Physics - Theory · Physics 2008-02-03 Mark de Wild Propitius , F. Alexander Bais

Inspired from Sutherland's work [Phys. Rev. Lett. {\bf 74}, 816 (1995)] on detecting bound spin waves, we propose that bound electron states can be detected from the dependence of interacting electron systems to the Aharonov-Bohm flux in…

Condensed Matter · Physics 2009-10-28 K. Kusakabe , H. Aoki

We show theoretically that strong electron coupling to circularly polarized photons in non-singly-connected nanostructures results in the appearance of an artificial gauge field that changes the electron phase. The effect arises from the…

Mesoscale and Nanoscale Physics · Physics 2014-12-05 H. Sigurdsson , O. V. Kibis , I. A. Shelykh

In the nonrelativistic case we find that whenever the relation $mc^2/e^2 <X(\al,g_m)$ is satisfied, where $\al$ is a flux in the units of the flux quantum, $g_m$ is magnetic moment, and $X(\al,g_m)$ is some function that is nonzero only for…

High Energy Physics - Theory · Physics 2008-02-03 Alexander MOROZ

We analyze the propagation of gravitational waves in a medium containing bounded subsystems ("molecules"), able to induce significant Macroscopic Gravity effects. We establish a precise constitutive relation between the average quadrupole…

General Relativity and Quantum Cosmology · Physics 2019-07-26 Giovanni Montani , Fabio Moretti

In this work, we generalize the non-geometrical construction of gauge theories, due to S. Deser, to a noncommutative setting. We show that in a free theory, along with the usual local N\"{o}ther current, there is another conserved current,…

High Energy Physics - Theory · Physics 2025-08-28 Guilherme Barrocas , Aleksandr Pinzul

Photonic gauge potentials are crucial for manipulating charge-neutral photons like their counterpart electrons in the electromagnetic field, allowing analogous Aharonov-Bohm effect in photonics and paving the way for critical applications…

A simple theorem is proved: When a gauge-invariant local field theory is written in terms of matter fields alone, a composite gauge boson or bosons must be formed dynamically. The theorem results from the fact that the Noether current…

High Energy Physics - Phenomenology · Physics 2017-09-20 Mahiko Suzuki

The optical exciton Aharonov-Bohm effect, i. e. an oscillatory component in the energy of optically active (bright) states, is investigated in nanorings. It is shown that a small effective electron mass, strong confinement of the electron,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Grochol , F. Grosse , R. Zimmermann

The dynamics of ultracold neutral atoms subject to a non-Abelian gauge field is investigated. In particular we analyze in detail a simple experimental scheme to achieve a constant, but non-Abelian gauge field, and discuss in the frame of…

Other Condensed Matter · Physics 2009-03-19 A. Jacob , P. Ohberg , G. Juzeliunas , L. Santos

A conformal gauge theory is used to describe and unify myriad electromechanical and magnetomechanical coupling effects observed in solid continua. Using a space-time pseudo-Riemannian metric in a finite-deformation setup and exploiting the…

Classical Physics · Physics 2023-07-19 Pranesh Roy , Sanjeev Kumar , Debasish Roy

We hereby propose an alternative and additional angle on the nature of gravitational waves (GWs), postulating the theoretical and experimental possibility that GWs carry a deformation of the time component of spacetime, other than the…

General Relativity and Quantum Cosmology · Physics 2023-06-06 Stefano Bondani , Sergio Luigi Cacciatori

Vector and scalar potential formulation is valid from quantum theory to classical electromagnetics. The rapid development in quantum optics calls for electromagnetic solutions that straddle quantum physics as well as classical physics. The…

Classical Physics · Physics 2016-11-25 Weng Cho Chew

The possibility of non-trivial representations of the gauge group on wavefunctionals of a gauge invariant quantum field theory leads to a generation of mass for intermediate vector and tensor bosons. The mass parameters m show up as central…

High Energy Physics - Theory · Physics 2009-10-31 M. Calixto , V. Aldaya

We investigate a fundamental electromagnetic theorem, namely the uniqueness theorem, in the context of nonlocal electromagnetics, as simulated by a popular semiclassical model, the Hydrodynamic Drude Model (HDM) and extensions thereof such…

Modeling the propagation of gravitational waves (GWs) through matter is complicated by the gauge freedom of linearized gravity in that once nonlinearities are taken into consideration, gauge artifacts can cause spurious acceleration of the…

General Relativity and Quantum Cosmology · Physics 2024-02-28 Deepen Garg , I. Y. Dodin
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