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In this paper, we discuss the Maxwell equations in terms of differential forms, both in the 3-dimensional space and in the 4-dimensional space-time manifold. Further, we view the classical electrodynamics as the curvature of a line bundle,…

Mathematical Physics · Physics 2011-12-06 Shenghua Du , Cheng Hao , Yueke Hu , Yuming Hui , Quan Shi , Li Wang , Yuqing Wu

Electromagnetism contains an infinite dimensional symmetry group of large gauge transformations. This gives rise to an infinite number of conserved quantities called "soft charges" via Noether's theorem. When charged particles scatter, the…

High Energy Physics - Theory · Physics 2021-12-13 Noah Miller

Using Wald's formalism, we study the thermodynamics (first laws and Smarr formulae) of asymptotically-flat black holes, rings etc. in a higher-dimensional higher-rank generalization of the Einstein-Maxwell theory. We show how to deal with…

High Energy Physics - Theory · Physics 2022-11-30 Tomas Ortin , David Pereñiguez

It is possible to characterize certain states of matter by properties of their edge states. This implies a notion of `surface-only models': models which can only be regularized at the edge of a higher-dimensional system. After incorporating…

High Energy Physics - Theory · Physics 2013-10-30 S. M. Kravec , John McGreevy

We present a model based on a SU(2) confining theory which is dual to the standard model. This duality allows to calculate the electroweak mixing angle and the Higgs boson mass. Possible tests of this duality are discussed.

High Energy Physics - Phenomenology · Physics 2007-05-23 X. Calmet

Maxwell's equations in curved space-time are invariant under electromagnetic duality transformations. We exploit this property to constraint the design parameters of metamaterials used for transformations optics. We show that a general…

Optics · Physics 2013-10-21 Ivan Fernandez-Corbaton , Gabriel Molina-Terriza

We derive the Maxwell's equations on the $\kappa$-deformed spacetime, valid up to first order in the deformation parameter, using the Feynman's approach. We show that the electric-magnetic duality is a symmetry of these equations. It is…

High Energy Physics - Theory · Physics 2014-11-20 E. Harikumar

The connection between bulk and boundary thermodynamics in Einstein-Maxwell theory is well established using AdS/CFT correspondence. In the context of general higher derivative gravity coupled to a U(1) gauge field, we examine the…

High Energy Physics - Theory · Physics 2024-05-08 Gurmeet Singh Punia

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…

High Energy Physics - Theory · Physics 2022-03-02 Shantonu Mukherjee , Amitabha Lahiri

We consider an arbitrary U(1) charged matter non-minimally coupled to the self-dual field in $d=2+1$. The coupling includes a linear and a rather general quadratic term in the self-dual field. By using both a Lagragian gauge embedding and a…

High Energy Physics - Theory · Physics 2008-11-26 D. Dalmazi

We undertake a general study of the boundary (or edge) modes that arise in gauge and gravitational theories defined on a space with boundary, either asymptotic or at finite distance, focusing on efficient techniques for computing the…

High Energy Physics - Theory · Physics 2023-05-17 Seolhwa Kim , Per Kraus , Richard M. Myers

Photonic bound states in the continuum are spatially localised modes with infinitely long lifetimes that exist within a radiation continuum at discrete energy levels. These states have been explored in various systems where their emergence…

Optics · Physics 2024-06-07 Wenhui Wang , Antonio Günzler , Bodo D. Wilts , Matthias Saba

The vacuum entanglement entropy of Maxwell theory, when evaluated by standard methods, contains an unexpected term with no known statistical interpretation. We resolve this two-decades old puzzle by showing that this term is the…

High Energy Physics - Theory · Physics 2016-03-24 William Donnelly , Aron C. Wall

Boundaries in gauge field theories are known to be the locus of a wealth of interesting phenomena, as illustrated for example by the holographic principle or by the AdS/CFT and bulk-boundary correspondences. In particular, it has been…

General Relativity and Quantum Cosmology · Physics 2017-09-28 Marc Geiller

We consider spherical gravitational perturbations of AdS4 space-time satisfying general boundary conditions at spatial infinity. Using the holographic renormalization method, we compute the energy-momentum tensor and show that it can always…

High Energy Physics - Theory · Physics 2009-03-27 Ioannis Bakas

We propose a novel paradigm for the QCD axion with high-quality Peccei-Quinn (PQ) symmetry on the basis of electric-magnetic duality in the conformal window of a supersymmetric gauge theory. PQ breaking fields, that contain the QCD axion,…

High Energy Physics - Phenomenology · Physics 2024-12-13 Shota Nakagawa , Yuichiro Nakai , Junxuan Xu , Yufei Zhang

We analyze the edge mode structure of Euclidean three dimensional gravity from within the quantum theory as embodied by a Ponzano-Regge-Turaev-Viro discrete state sum with Gibbons-=-Hawking-York boundary conditions. This structure is…

High Energy Physics - Theory · Physics 2018-11-14 Aldo Riello

We review electric/magnetic duality in $N=4$ (and certain $N=2$) globally supersymmetric gauge theories and show how this duality, which relates strong to weak coupling, follows as a consequence of a string/string duality. Black holes,…

High Energy Physics - Theory · Physics 2011-04-15 M. J. Duff

In this paper, we study the theory of second gradient electromagnetostatics as the static version of second gradient electrodynamics. The theory of second gradient electrodynamics is a linear generalization of higher order of classical…

Classical Physics · Physics 2020-07-03 Markus Lazar , Jakob Leck

It is considered a mechanism of dynamical symmetry breaking for extended Ue(1)xUg(1) containing, one vector gauge field 'A' (photon) and one pseudo-vector gauge field 'C' (pseudo-photon). By choosing a particular solution of the equations…

High Energy Physics - Theory · Physics 2007-07-09 P. Castelo Ferreira
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