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We study monopoles and gluon fields in QCD in the maximally abelian (MA) gauge in the context of the dual superconductor picture for confinement. In the abelian gauge, unit-charge magnetic monopoles appear, but multi-charge monopoles do not…

High Energy Physics - Lattice · Physics 2009-10-31 Hiroko Ichie , Hideo Suganuma

We present a semiclassical nonlinear field equation for the confining field in 2+1--dimensional $U(1)$ lattice gauge theory (compact QED). The equation is derived directly from the underlying microscopic quantum Hamiltonian by means of…

High Energy Physics - Lattice · Physics 2009-10-28 Christoph Best , Andreas Schaefer

We demonstrate electric-magnetic duality in N=1 supersymmetric non-Abelian gauge theories in four dimensions by presenting two different gauge theories (different gauge groups and quark representations) leading to the same non-trivial long…

High Energy Physics - Theory · Physics 2009-07-09 N. Seiberg

We study U(1) gauge theories with a modified Villain action. Such theories can naturally be coupled to electric and magnetic matter, and display exact electric-magnetic duality. In their simplest formulation without a $\theta$-term, such…

High Energy Physics - Lattice · Physics 2022-05-11 Mariia Anosova , Christof Gattringer , Tin Sulejmanpasic

In any Abelian gauge theory with an action periodic in the link variables one can perform a duality transformation not only in the partition function, but also in correlation functions including Polyakov loops. The calculation of…

High Energy Physics - Lattice · Physics 2008-11-26 Martin Zach , Manfried Faber , Peter Skala

Duality is an indispensable tool for describing the strong-coupling dynamics of gauge theories. However, its actual realization is often quite subtle: quantities such as the partition function can transform covariantly, with degrees of…

High Energy Physics - Theory · Physics 2017-08-16 William Donnelly , Ben Michel , Aron Wall

A loop space formulation of Yang-Mills theory high-lighting the significance of monopoles for the existence of gauge potentials is used to derive a generalization of electric-magnetic duality to the nonabelian theory. The result implies…

High Energy Physics - Theory · Physics 2009-10-31 HM Chan , ST Tsou

Electric-magnetic dualities are equivalence between strong and weak coupling constants. A standard example is the exchange of electric and magnetic fields in an abelian gauge theory. We show three methods to perform electric-magnetic…

High Energy Physics - Theory · Physics 2016-06-29 Jun-Kai Ho , Chen-Te Ma

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…

High Energy Physics - Theory · Physics 2017-01-12 Christian Becker , Marco Benini , Alexander Schenkel , Richard J. Szabo

In this paper a new look on the electro-magnetic duality is presented and appropriately exploited. The duality analysis in the nonrelativistic and relativistic formulations is shown to lead to the idea the mathematical model field to be a…

High Energy Physics - Theory · Physics 2007-05-23 Stoil Donev

The magnetic monopole in euclidean pure SU(2) gauge theory is investigated using a background field method on the lattice. With Monte Carlo methods we study the mass of the monopole in the full quantum theory. The monopole background under…

High Energy Physics - Lattice · Physics 2009-10-22 J. Smit , A. J. Van Der Sijs

We present a numerical study about the confining regime of compact U(1) lattice gauge theory in 4D. To address the problem, we exploit the duality properties of the theory. The main features of this method are presented, and its possible…

High Energy Physics - Lattice · Physics 2008-11-26 Marco Panero

We construct N=1 A-D-E quiver gauge theory with the gauge kinetic term which depends on the adjoint chiral superfields, as a low energy effective theory on D5-branes wrapped on 2-cycles of Calabi-Yau 3-fold in IIB string theory. The…

High Energy Physics - Theory · Physics 2011-04-14 Kazunobu Maruyoshi

The possibility that QED and recently developed non-Hermitian, or magnetic, versions of QED are equivalent is considered. Under this duality the Hamiltonians and anomalous axial currents of the two theories are identified. A consequence of…

High Energy Physics - Theory · Physics 2009-09-10 Chris Ford

In four dimensions, partially massless fields of all spins and depths possess a duality invariance akin to electric-magnetic duality. We construct metric-like gauge invariant curvature tensors for partially massless fields of all integer…

High Energy Physics - Theory · Physics 2016-09-26 Kurt Hinterbichler , Austin Joyce

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…

High Energy Physics - Theory · Physics 2021-07-06 Hobin Lee , Sanghoon Han , Hyein Yoon , Junsoo Kim , Jae-Hyuk Oh

In the in-out formalism we advance a method of the inverse scattering matrix for calculating effective actions in pure magnetic field backgrounds. The one-loop effective actions are found in a localized magnetic field of Sauter type and…

High Energy Physics - Theory · Physics 2015-05-30 Sang Pyo Kim

We demonstrate how gauge singlets can be used to find new examples of Kutasov duality (i.e. where the matching of the dual theories relies on a non-zero superpotential) in N}=1 SU(N) SQCD with F_Q flavours of quark and multiple generations…

High Energy Physics - Theory · Physics 2010-12-17 Steven Abel , James Barnard

We show that 4D gauge theories with Green-Schwarz anomaly cancellation and possible generalized Chern-Simons terms admit a formulation that is manifestly covariant with respect to electric/magnetic duality transformations. This generalizes…

High Energy Physics - Theory · Physics 2009-02-07 Jan De Rydt , Torsten T. Schmidt , Mario Trigiante , Antoine Van Proeyen , Marco Zagermann

This thesis deals with the construction of conserved charges for asymptotically flat spacetimes at spatial infinity in four spacetime dimensions in a hopefully pedagogical way. As a first motivation of this work, it highlights the…

High Energy Physics - Theory · Physics 2011-12-20 François Dehouck