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This is a study of induced nonlinear realizations of a Lie group G in which the presence of one field induces nonlinear transformations on another field. The covariant derivative structure is similar in form to that for local gauge theory.…

高能物理 - 理论 · 物理学 2010-12-07 Bill Dalton

We formulate a symmetry principle on the basis of the duality of electric and magnetic fields and apply it to dispersion forces. Within the context of macroscopic quantum electrodynamics, we rigorously establish duality invariance for the…

量子物理 · 物理学 2010-01-04 Stefan Yoshi Buhmann , Stefan Scheel , Hassan Safari , Dirk-Gunnar Welsch

We argue that the definition of the thermodynamic work done on a charged particle by a time-dependent electromagnetic field is an open problem, because the particle's Hamiltonian is not gauge-invariant. The solution of this problem demands…

统计力学 · 物理学 2016-06-29 A. E. Allahverdyan , S. G. Babajanyan

Abelian Gauge Theories are quantized in a geometric representation that generalizes the Loop Representation and treates electric and magnetic operators on the same footing. The usual canonical algebra is turned into a topological algebra of…

高能物理 - 理论 · 物理学 2015-06-26 Lorenzo Leal

We study the dual Higgs mechanism for the nonperturbative QCD. We point out two kind of the ``see-saw'' relations between electric and magnetic sectors. Owing to the Dirac condition $eg=4\pi$, the dual Ginzburg-Landau theory has the…

高能物理 - 唯象学 · 物理学 2007-05-23 Hideo Suganuma , Shoich Sasaki , Hiroko Ichie , Hiroshi Toki , Fumiaki Araki

In this work, we propose a novel partial electromagnetic duality and construct its consistent realization using an extended gauge group $\mathrm{U}(1)_{\mathrm{q}}^{}\otimes\mathrm{U}(1)_{\mathrm{d}}^{}$ over a localized space region, where…

高能物理 - 唯象学 · 物理学 2026-01-12 Yanfeng Hang

We construct a pseudo-Lagrangian that is invariant under rigid $E_{11}$ and transforms as a density under $E_{11}$ generalised diffeomorphisms. The gauge-invariance requires the use of a section condition studied in previous work on…

高能物理 - 理论 · 物理学 2021-07-14 Guillaume Bossard , Axel Kleinschmidt , Ergin Sezgin

We work out non-Lorentzian dual actions for electromagnetism and linearised gravity, both in the Carrollian and Galilean cases. This is done in the same way as for Lorentzian theories, by first constructing a parent action that reduces to a…

高能物理 - 理论 · 物理学 2024-10-01 Josh A. O'Connor , Simon Pekar

We consider a model of classical noncommutative particle in an external electromagnetic field. For this model, we prove the existence of generalized gauge transformations. Classical dynamics in Hamiltonian and Lagrangian form is discussed,…

数学物理 · 物理学 2010-02-17 D. M. Gitman , V. G. Kupriyanov

It is shown how to break the symmetry of a Lagrangian with duality symmetry between electric and magnetic monopoles, so that at low energy, electric monopole interactions continue to be observed but magnetic monopole interactions become…

高能物理 - 唯象学 · 物理学 2007-05-23 Jay R. Yablon

We find necessary and sufficient conditions for gauge invariance of the action of Double Field Theory (DFT) as well as closure of the algebra of gauge symmetries. The so-called weak and strong constraints are sufficient to satisfy them, but…

高能物理 - 理论 · 物理学 2012-04-24 Mariana Graña , Diego Marques

We study target space theory on a torus for the states with $N_L+N_R=2$ through Double Field Theory. The spin-two Fierz-Pauli fields are not allowed when all spatial dimensions are non-compact. The massive states provide both non-vanishing…

高能物理 - 理论 · 物理学 2021-09-01 Chen-Te Ma

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…

综合物理 · 物理学 2017-03-20 Rasulkhozha S. Sharafiddinov

Double field theory and exceptional field theory are formulations of supergravity that make certain dualities manifest symmetries of the action. To achieve this, the geometry is extended by including dual coordinates corresponding to…

高能物理 - 理论 · 物理学 2016-10-12 Felix J. Rudolph

We construct a 2+1 dimensional classical gauge theory on manifolds with spin structure whose action is a refinement of the Atiyah-Patodi- Singer eta-invariant for twisted Dirac operators. We investigate the properties of the Lagrangian…

微分几何 · 数学 2007-05-23 Jerome A. Jenquin

Starting with the generalized potentials, currents, field tensors and electromagnetic vector fields of dyons as the complex complex quantities with real and imaginary counter parts as electric and magnetic constituents, we have established…

高能物理 - 理论 · 物理学 2007-05-23 H. Dehnen , O. P. S. Negi

The metric-affine Lagrangian of Ponomarev and Obukhov for the unified gravitational and electromagnetic field is linear in the Ricci scalar and quadratic in the tensor of homothetic curvature. We apply to this Lagrangian the variational…

广义相对论与量子宇宙学 · 物理学 2011-06-15 Nikodem J. Poplawski

A weakness which has previously seemed unavoidable in particle interpretations of quantum mechanics (such as in the de Broglie-Bohm model) is addressed here and a resolution proposed. The weakness in question is the lack of action and…

量子物理 · 物理学 2019-11-13 Roderick Sutherland

We will introduce a gauge model which an electromagnetic coupling constant and local mass are related to all the charge in the universe. we will use the standard Dirac action, but where the mass and the electromagnetic coupling constant are…

高能物理 - 理论 · 物理学 2011-06-29 E . I. Guendelman , R. Steiner

We suggest that the physically irrelevant choice of a representative worldline of a relativistic spinning particle should correspond to a gauge symmetry in an action approach. Using a canonical formalism in special relativity, we identify a…

广义相对论与量子宇宙学 · 物理学 2015-01-21 Jan Steinhoff