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Recently the vacuum structure of a large class of four dimensional (supersymmetric) quantum field theories was determined exactly. These theories exhibit a wide range of interesting new physical phenomena. One of the main new insights is…

High Energy Physics - Theory · Physics 2009-09-15 Nathan Seiberg

We demonstrate for the first time and unexpectedly that the Principle of Relativity dictates the choice of the "gauge conditions" in the canonical example of a Gauge Theory namely Classical Electromagnetism. All the known "gauge conditions"…

Classical Physics · Physics 2009-12-15 Germain Rousseaux

The basic premise of Quantum Mechanics, embodied in the doctrine of wave-particle duality, assigns both, a particle and a wave structure to the physical entities. The classical laws describing the motion of a particle and the evolution of a…

Quantum Physics · Physics 2007-05-23 S. R. Vatsya

We propose a manifestly duality-invariant, Lorentz-invariant, and local action to describe quantum electrodynamics theory in the presence of magnetic monopoles that derives from Sen's formalism. By employing field strengths as the dynamical…

High Energy Physics - Theory · Physics 2026-05-08 Aviral Aggarwal , Subhroneel Chakrabarti , Madhusudhan Raman

We derive one- and two-dimensional models for classical electromagnetism by making use of Hadamard's method of descent. Low-dimensional electromagnetism is conceived as a specialization of the higher dimensional one, in which the fields are…

Classical Physics · Physics 2022-02-17 Rocco Maggi , Elisa Ercolessi , Paolo Facchi , Giuseppe Marmo , Saverio Pascazio , Francesco V. Pepe

We study electric-magnetic duality in the chiral ring of a supersymmetric U(N_c) gauge theory with adjoint and fundamental matter, in presence of a general confining phase superpotential for the adjoint and the mesons. We find the magnetic…

High Energy Physics - Theory · Physics 2010-02-03 Luca Mazzucato

We construct a Lagrangian for general nonlinear electrodynamics that features electric and magnetic potentials on equal footing. In the language of this Lagrangian, discrete and continuous electric-magnetic duality symmetries can be…

High Energy Physics - Theory · Physics 2022-01-06 Zhirayr Avetisyan , Oleg Evnin , Karapet Mkrtchyan

It is argued that the formal rules of correspondence between local observation procedures and observables do not exhaust the entire physical content of generally covariant quantum field theory. This result is obtained by expressing the…

High Energy Physics - Theory · Physics 2009-10-31 Hadi Salehi

The change of the electromagnetic field in a particular place due to the event of a change in the motion of a charged particle can occur only after the light signal from the event can reach this place. Naive calculations of the…

Classical Physics · Physics 2009-11-07 Amnon Kislev , Lev Vaidman

A new representation of the scalar electrodynamics is discovered which gives a more redundant description of electromagnetic theory and suitable to construct an appropriate matter action which contains two global symmetries . The symmetries…

High Energy Physics - Theory · Physics 2022-08-23 SK moinuddin , Pradip Mukherjee

The geometry of the classical phase space C of a finite number of degrees of freedom determines the possible duality symmetries of the corresponding quantum mechanics. Under duality we understand the relativity of the notion of a quantum…

Quantum Physics · Physics 2015-06-26 J. M. Isidro

In an earlier paper we provided an alternative to the standard gauge concept for deriving the classical electromagnetic wave equations. This alternative involves recognition of two previously overlooked basic equations and represents a…

Classical Physics · Physics 2014-11-27 Paul J Cote , Mark A Johnson

We analyze the Coulomb phase of theories of $N=2$ SQCD with $SU(N_c)$ gauge groups which are conjectured to have exact electric-magnetic duality. We discuss the duality transformation of the particle spectrum, emphasizing the differences…

High Energy Physics - Theory · Physics 2009-09-29 Ofer Aharony , Shimon Yankielowicz

This article develops a duality principle for a semi-linear model in micro-magnetism. The results are obtained through standard tools of convex analysis and the Legendre transform concept. We emphasize the dual variational formulation…

Optimization and Control · Mathematics 2017-12-14 Fabio Botelho

We elaborate on the duality-symmetric nonlinear electrodynamics in a new formulation with auxiliary tensor fields. The Maxwell field strength appears only in bilinear terms of the corresponding generic Lagrangian, while the self-interaction…

High Energy Physics - Theory · Physics 2009-11-10 E. A. Ivanov , B. M. Zupnik

We study electric-magnetic duality in Lorentz invariant symmetric tensor gauge theories, where immobile charged particles - fractons - arise due to the generalized current conservation $\partial_{\mu} \partial_{\nu} J^{\mu \nu} = 0$ and the…

High Energy Physics - Theory · Physics 2025-11-07 Ryuki Makino , Shin Sasaki , Kenta Shiozawa

Dual electrodynamics and corresponding Maxwell's equations (in the presence of monopole only) are revisited from the symmetry of duality and gauge invariance. Accordingly, the manifestly covariant, dual symmetric and gauge invariant two…

High Energy Physics - Theory · Physics 2015-05-20 O. P. S. Negi , H. Dehnen

A two-time quantum theory of a system of two particles with the direct electromagnetic interaction based on a quantum version of the action principle is considered. An analog of Schrodinger equation for the system is obtained.

Quantum Physics · Physics 2010-03-16 Natalia Gorobey , Alexander Lukyanenko , Inna Lukyanenko

We examine the electric-magnetic duality for a U(1) gauge theory on a general 4-manifold. The partition function for such a theory transforms as a modular form of specific weight. However, in the canonical approach, we show that S-duality,…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Kehagias

That the speed of light is a universal constant is a logical consequence of Maxwell's equations. Here we show the converse is also true. Electromagnetism (EM) and electrodynamics (ED), in all details, can be derived from two simple…

Classical Physics · Physics 2013-12-24 Yousef Sobouti