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We study generalized electric/magnetic duality in Abelian gauge theory by combining techniques from locally covariant quantum field theory and Cheeger-Simons differential cohomology on the category of globally hyperbolic Lorentzian…

高能物理 - 理论 · 物理学 2017-01-12 Christian Becker , Marco Benini , Alexander Schenkel , Richard J. Szabo

The first order form of a Maxwell theory and U(1) gauge theory in which a gauge invariant mass term appears is analyzed using the Dirac procedure. The form of the gauge transformation which leaves the action invariant is derived from the…

高能物理 - 理论 · 物理学 2015-06-03 N. Kiriushcheva , S. V. Kuzmin , D. G. C. McKeon

We derive Maxwell equations for electric and magnetic fields in curved spacetime from first principles, relaxing an unnecessary assumption on the structure of the four-potential inherent to the standard approach and thus restoring the full…

高能物理 - 唯象学 · 物理学 2023-10-13 Anton V. Sokolov

We examine a covariant quantization of electromagnetic fields by using an operator derived from a constant scalar that can be called extended Lorentz gauge. The quantization can avoid an inconsistency between Lorentz gauge and a commutation…

综合物理 · 物理学 2020-08-03 Masahito Morimoto

We promote the Noether charge of the electric-magnetic duality symmetry of $U(1)$ gauge theory, "$G$" to a quantum operator. We construct ladder operators, $D_{(\pm)a}^\dagger(k)$ and $D_{(\pm)a}(k)$ which create and annihilate the…

高能物理 - 理论 · 物理学 2021-07-06 Hobin Lee , Sanghoon Han , Hyein Yoon , Junsoo Kim , Jae-Hyuk Oh

In the Dirac theory of the quantum-mechanical interaction of a magnetic monopole and an electric charge, the vector potential is singular from the origin to infinity along certain direction - the so called Dirac string. Imposing the famous…

综合物理 · 物理学 2021-02-24 Xiao-Yin Pan , Yin Chen , Yu-Qi Li , Aaron G. Kogan , Juhao Wu

We apply duality transformation to the Abelian Higgs model in 3+1 dimensions in the presence of electrons coupled to the gauge field. The Higgs field is in the symmetry broken phase, where flux strings can form. Dualization brings in an…

高能物理 - 理论 · 物理学 2022-03-02 Shantonu Mukherjee , Amitabha Lahiri

The work is devoted to studying some new classical electrodynamics models of interacting charged point particles and the aspects of the quantization via the Dirac procedure related to them. Based on the vacuum field theory no-geometry…

数学物理 · 物理学 2009-10-07 N. N. Bogolubov , A. K. Prykarpatsky

Dirac's formulation of magnetic monopoles is shown to be equivalent to Maxwell theory coupled to 2-form gauge fields so that it has a local 1-form symmetry, with the 2-form gauge fields given in terms of the 2-form current densities…

高能物理 - 理论 · 物理学 2025-05-09 C M Hull

The present theory is closely related to Dirac's equation of the electron, but not to his magnetic monopole theory, except for his relation between electric and magnetic charge. The theory is based on the fact, that the massless Dirac…

量子物理 · 物理学 2008-11-26 Georges Lochak

We compute the one-loop divergences in a theory of gravity with Lagrangian of the general form $f(R,R_{\mu\nu}R^{\mu\nu})$, on an Einstein background. We also establish that the one-loop effective action is invariant under a duality that…

高能物理 - 理论 · 物理学 2018-05-30 N. Ohta , R. Percacci , A. D. Pereira

Duality is one of the oldest known symmetries of Maxwell equations. In recent years the significance of duality symmetry has been recognized in superstrings and high energy physics and there has been a renewed interest on the question of…

综合物理 · 物理学 2012-06-19 S. C. Tiwari

We study the energy conversion laws of the macroscopic harmonic $LC $ oscillator, the electromagnetic wave (photon) and the hydrogen atom. As our analysis indicates that the energies of these apparently different systems obey exactly the…

综合物理 · 物理学 2007-05-23 X. Q. Huang

A rich pattern of gauge symmetries is found in the moduli space of heterotic string toroidal compactifications, at fixed points of the T-duality transformations. We analyze this pattern for generic tori, and scrutinize in full detail…

高能物理 - 理论 · 物理学 2018-10-17 Bernardo Fraiman , Mariana Graña , Carmen A. Núñez

We study the vacuum functional for a system of p-branes interacting with Maxwell fields of higher rank. This system represents a generalization of the usual electrodynamics of point particles, with one essential difference: namely, that the…

高能物理 - 理论 · 物理学 2009-10-31 S. Ansoldi , A. Aurilia , L. Marinatto , E. Spallucci

The most common physical formalisms are the Lagrangian formalism and the Hamiltonian formalism. From the superficial point of view, they are one and the same, but rewritten in other terms. However, it seems that the Hamiltonian formalism…

It was established long ago that SO(2) electric-magnetic duality is an {\em off-shell} symmetry of the free Maxwell theory, i.e., that it leaves invariant the action and not just the equations of motion. We review here that analysis and…

高能物理 - 理论 · 物理学 2014-03-14 Claudio Bunster , Marc Henneaux

New, gauge-independent, second-order Lagrangian for the motion of classical, charged test particles is used to derive the corresponding Hamiltonian formulation. For this purpose a Hamiltonian description of the theories derived from the…

经典物理 · 物理学 2009-10-31 D. Chruscinski , J. Kijowski

The idea of gauging (i.e. making local) symmetries of a physical system is a central feature of many modern field theories. Usually, one starts with a Lagrangian for some scalar or spinor matter fields, with the Lagrangian being invariant…

高能物理 - 理论 · 物理学 2007-05-23 Akira Kato , Doug Singleton

The two-component formulation of quantum electrodynamics is studied. The relation with the usual Dirac formulation is exhibited, and the Feynman rules for the two-component form of the theory are presented in terms of familiar objects. The…

高能物理 - 理论 · 物理学 2007-05-23 M. Veltman
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