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We discuss electric-magnetic duality in two new classes of supersymmetric Yang-Mills theories. The models have gauge group $Sp(2\nc)$ or $SO(\nc)$ with matter in both the adjoint and defining representations. By perturbing these theories…

High Energy Physics - Theory · Physics 2009-10-28 R. G. Leigh , M. J. Strassler

We find both analytical and numerical solutions of SU(2) Yang-Mills with an adjoint Higgs field within both closed and open tubes whose sections are spherical caps. This geometry admits a smooth limit in which the space-like metric is flat…

High Energy Physics - Theory · Physics 2015-06-22 Fabrizio Canfora , Gianni Tallarita

The structure of the Abelian-projected (AP) flux tube in SU(2) gauge theory in the maximally Abelian gauge is studied by applying the Hodge decomposition to the Abelian Wilson loop. It is shown that the profile of the AP flux tube has the…

High Energy Physics - Phenomenology · Physics 2017-08-23 Yoshiaki Koma

It is shown that classical nonsupersymmetric Yang-Mills theory in 4 dimensions is symmetric under a generalized dual transform which reduces to the usual dual *-operation for electromagnetism. The parallel phase transport $\tilde{A}_\mu(x)$…

High Energy Physics - Theory · Physics 2009-10-28 Chan Hong-Mo , J. Faridani , Tsou Sheung Tsun

We map noncommutative (NC) U(1) gauge theory on R^d_C X R^{2n}_{NC} to U(N -> \infty) Yang-Mills theory on R^d_C, where R^d_C is a d-dimensional commutative spacetime while R^{2n}_{NC} is a 2n-dimensional NC space. The resulting U(N)…

High Energy Physics - Theory · Physics 2009-11-05 Hyun Seok Yang

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…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jay R. Yablon

We discuss some properties of the abelian monopoles in compact U(1) gauge theory and in the SU(2) gluodynamics both on the lattice and in the continuum.

High Energy Physics - Lattice · Physics 2008-11-26 M. N. Chernodub , F. V. Gubarev , M. I. Polikarpov , A. I. Veselov

We study, in detail, the supersymmetric quantum mechanics of charge-(1,1) monopoles in N=2 supersymmetric Yang-Mills-Higgs theory with gauge group SU(3) spontaneously broken to U(1) x U(1). We use the moduli space approximation of the…

High Energy Physics - Theory · Physics 2011-02-07 Erik Jan de Vries , Bernd J. Schroers

Recently, gauge field theory approaches were extensively used in order to discuss the physical consequences of spin-orbit interactions in condensed matter physics. An SU(2)$\times$U(1) gauge theory is very naturally borne out and provides…

Other Condensed Matter · Physics 2014-09-23 Bertrand Berche , Ernesto Medina

Classically, the dual under the Seiberg-Witten map of noncommutative U(N), {\cal N}=1 super Yang-Mills theory is a field theory with ordinary gauge symmetry whose fields carry, however, a \theta-deformed nonlinear realisation of the {\cal…

High Energy Physics - Theory · Physics 2013-05-16 C. P. Martin , C. Tamarit

Magnetic monopole solutions naturally arise in the context of spontaneously broken gauge theories. When the unbroken symmetry includes a non-Abelian subgroup, investigation of the low-energy monopole dynamics by means of the moduli space…

High Energy Physics - Theory · Physics 2007-05-23 Erick J. Weinberg

We show that S-duality in four dimensional non-supersymmetric abelian gauge theories can be formulated as a canonical transformation in the phase space of the theory. This transformation is the usual interchange between electric and…

High Energy Physics - Theory · Physics 2009-10-28 Yolanda Lozano

We study decomposition of $SU(2)$ gauge field into monopole and monopoleless components. After fixing the Maximal Abelian gauge in $SU(2)$ lattice gauge theory we decompose the nonabelian gauge field into the Abelian field created by…

High Energy Physics - Lattice · Physics 2022-04-13 V. G. Bornyakov , I. Kudrov , R. N. Rogalyov

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

We construct new family of spherically symmetric regular solutions of $SU(2)$ Yang-Mills theory coupled to pure $R^2$ gravity. The particle-like field configurations possess non-integer non-Abelian magnetic charge. A discussion of the main…

High Energy Physics - Theory · Physics 2019-05-03 Ilya Perapechka , Yakov Shnir

Much about the confinement and dynamical symmetry breaking in QCD might be learned from models with supersymmetry. In particular, models based on N=2 supersymmetric theories with gauge groups SU(N), SO(N) and $USp(2 N)$ and with various…

High Energy Physics - Theory · Physics 2007-05-23 Kenichi Konishi

Non-Abelian strings exist in the color-flavor locked phase of dense QCD. We show that kinks appearing in the world-sheet theory on these strings, in the form of the kink-antikink bound pairs, are the magnetic monopoles --- descendants of…

High Energy Physics - Phenomenology · Physics 2011-05-12 A. Gorsky , M. Shifman , A. Yung

This is a general introduction to electric-magnetic duality in non-abelian gauge theories. In chapter I, I review the general ideas which led in the late 70s to the idea of electric/magnetic duality in quantum field theory. In chapters II…

High Energy Physics - Theory · Physics 2008-02-03 Frank Ferrari

This paper is concerned with magnetic monopole solutions of SU(3) Yang-Mills-Higgs system beyond the Bogomol'nyi-Prasad-Sommerfield limit. The different SU(2) embeddings, which correspond to the fundamental monopoles, as well the embedding…

High Energy Physics - Theory · Physics 2009-11-10 Yasha Shnir

The topological properties of magnetic monopoles and center vortices arising, respectively, in Abelian and center gauges are studied in continuum Yang-Mills Theory. For this purpose the continuum analog of the maximum center gauge is…

High Energy Physics - Lattice · Physics 2015-06-25 H. Reinhardt , M. Engelhardt , K. Langfeld , M. Quandt , A. Schafke
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