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We introduce a novel decomposition of the four dimensional SU(2) gauge field. This decomposition realizes explicitely a symmetry between electric and magnetic variables, suggesting a duality picture between the corresponding phases. It also…

High Energy Physics - Theory · Physics 2009-11-07 Ludvig Faddeev , Antti J. Niemi

We propose a reformulation of SU(2) Yang-Mills theory in terms of new variables. These variables are appropriate for describing the theory in its infrared limit, and indicate that it admits knotlike configurations as stable solitons. As a…

High Energy Physics - Theory · Physics 2009-10-31 Ludvig Faddeev , Antti J. Niemi

A center vortex model for the infrared sector of SU(4) Yang-Mills theory is constructed such as to reproduce both the ratio between the zero-temperature quark and diquark string tensions known from lattice Yang-Mills theory, as well as the…

High Energy Physics - Lattice · Physics 2007-05-23 Michael Engelhardt

We evaluate the longitudinal or (chromo-)electric Yang-Mills gluon propagator in the recently proposed center-symmetric Landau gauge at finite temperature [1]. To model the effect of the Gribov copies in the infrared, we use the…

High Energy Physics - Phenomenology · Physics 2022-06-09 Duifje Maria van Egmond , Urko Reinosa

We study the classical dynamics of mechanical model obtained from the light-cone version of SU(2) Yang-Mills field theory under the supposition of gauge potential dependence only on ``time'' along the light-cone direction. The computer…

High Energy Physics - Theory · Physics 2007-05-23 V. P. Gerdt , A. M. Khvedelidze , D. M. Mladenov

We illustrate some physical application of a lattice formulation of the two-dimensional $\mathcal{N}=(2,2)$ supersymmetric SU(2) Yang-Mills theory with a (small) supersymmetry breaking scalar mass. Two aspects, power-like behavior of…

High Energy Physics - Lattice · Physics 2009-02-18 Issaku Kanamori , Hiroshi Suzuki

We describe a ten dimensional supergravity geometry which is dual to a gauge theory that is non-supersymmetric Yang Mills in the infra-red but reverts to $N$=4 super Yang Mills in the ultra-violet. A brane probe of the geometry shows that…

High Energy Physics - Theory · Physics 2017-08-23 David E. Crooks , Nick Evans

We propose a new version of SU(N) Yang-Mills theory reformulated in terms of new field variables which are obtained by a nonlinear change of variables from the original Yang-Mills gauge field. The reformulated Yang-Mills theory enables us…

High Energy Physics - Theory · Physics 2008-11-26 Kei-Ichi Kondo , Toru Shinohara , Takeharu Murakami

The low-energy dynamics of five-dimensional Yang-Mills theories compactified on S^1 can be described by a four-dimensional gauge theory coupled to a scalar field in the adjoint representation of the gauge group. Perturbative calculations…

High Energy Physics - Lattice · Physics 2012-08-10 Luigi Del Debbio , Alistair Hart , Enrico Rinaldi

We discuss a model with a massless scalar coupling to the Yang-Mills SU(2) gauge field in four-dimensional space-time. The solutions from static, pointlike colour source are given. There exists not only solutions with finite energy but also…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Slusarczyk , A. Wereszczynski

Quantum Yang-Mills theory and the Wilson loop can be rewritten identically in terms of local gauge-invariant variables being directly related to the metric of the dual space. In this formulation, one reveals a hidden high local symmetry of…

High Energy Physics - Theory · Physics 2017-08-23 Dmitri Diakonov

In oder to investigate quark confinement, we give a new reformulation of the $SU(N)$ Yang-Mills theory on a lattice and present the results of the numerical simulations of the $SU(3)$ Yang-Mills theory on a lattice. The numerical…

High Energy Physics - Lattice · Physics 2014-12-30 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Toru Shinohara

We reformulate the dual gauge model of the long-distance Yang-Mills theory in terms of the two-point Wightman functions formalism. In the flux-tube scheme of Abelian dominance and monopole condensation, the analytic expressions of both…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. A. Kozlov , M. Baldicchi

It is possible to define new, gauge invariant variables in the Hilbert space of Yang-Mills theories which manifestly implement Gauss' law on physical states. These variables have furthermore a geometrical meaning, and allow one to uncover…

High Energy Physics - Theory · Physics 2009-10-28 Peter E. Haagensen , Kenneth Johnson

We use effective magnetic SU(N) pure gauge theory with cutoff M and fixed gauge coupling g_m to calculate non-perturbative magnetic properties of the deconfined phase of SU(N) Yang-Mills theory. We obtain the response to an external closed…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Baker

Yang--Mills theory in four dimensions is studied by using the Coulomb gauge. The Coulomb gauge Hamiltonian involves integration of matrix elements of an operator P built from the Laplacian and from a first-order differential operator. The…

High Energy Physics - Theory · Physics 2009-11-07 Giampiero Esposito

By using the method of center projection the center vortex part of the gauge field is isolated and its propagator is evaluated in the center Landau gauge, which minimizes the open 3-dimensional Dirac volumes of non-trivial center links…

High Energy Physics - Lattice · Physics 2009-11-11 K. Langfeld , G. Schulze , H. Reinhardt

We consider the partially-deconfined saddle of large-$N$ pure Yang-Mills theory lying between confined and deconfined phases, in which the color degrees of freedom split into confined and deconfined sectors. Based on the microscopic…

High Energy Physics - Theory · Physics 2023-04-12 Vaibhav Gautam , Masanori Hanada , Jack Holden , Enrico Rinaldi

The renormalization functions involved in the determination of the topological susceptibility in the SU(2) lattice gauge theory are extracted by direct measurements, without relying on perturbation theory. The determination exploits the…

High Energy Physics - Lattice · Physics 2009-10-22 Bartomeu Alles , Massimo Campostrini , Adriano Di Giacomo , Yigit Gunduc , Ettore Vicari

A model for the infrared sector of SU(2) Yang-Mills theory, based on magnetic vortex degrees of freedom represented by (closed) random world-surfaces, is presented. The model quantitatively describes both the confinement properties…

High Energy Physics - Lattice · Physics 2007-05-23 Michael Engelhardt