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We study the properties of topological defects in the lattice compact Abelian Higgs Model with charge Q=2 matter field. We find that monopoles and antimonopoles form chain-like structures which are dense in the confinement/symmetric phase.…

High Energy Physics - Lattice · Physics 2010-05-27 M. N. Chernodub , R. Feldmann , E. -M. Ilgenfritz , A. Schiller

We find that Polyakov lines, computed in abelian-projected SU(2) lattice gauge theory in the confined phase, have finite expectation values for lines corresponding to two units of the abelian electric charge. This means that the…

High Energy Physics - Lattice · Physics 2016-09-01 J. Ambjorn , J. Giedt , J. Greensite

The unbinding of vortex-antivortex pairs for the classical two-dimensional XY model in a magnetic field is studied. A single such pair is connected by a string of overturned spins, leading to linear confinement. We show that this system…

Statistical Mechanics · Physics 2009-11-07 H. A. Fertig

We study the electric flux tubes that undertake color confinement in N=2 supersymmetric Yang-Mills theories softly broken down to N=1 by perturbing with the first two Casimir operators. The relevant Abelian Higgs model is not the standard…

High Energy Physics - Theory · Physics 2009-10-31 Jose D. Edelstein , Wifredo Garcia Fuertes , Javier Mas , Juan Mateos Guilarte

Symmetry breaking can produce ``Alice'' strings, which alter scattered charges and carry monopole number and charge when twisted into loops. Alice behavior arises algebraically, when strings obstruct unbroken symmetries -- a fragile…

High Energy Physics - Theory · Physics 2009-11-10 Katherine M. Benson , Tom Imbo

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

We continue the studies of localization of the U(1) gauge fields on domain walls. Depending on dynamics of the bulk theory the gauge field localized on the domain wall can be either in the Coulomb phase or squeezed into flux tubes implying…

High Energy Physics - Theory · Physics 2010-05-27 R. Auzzi , S. Bolognesi , M. Shifman , A. Yung

We study vortex-strings in four-dimensional N=2 supersymmetric SU(Nc)xU(1) gauge theories with Nf hypermultiplets in the fundamental representation of SU(Nc) and general U(1) charges. If Nf>Nc, the vacuum is not gapped and the low-energy…

High Energy Physics - Theory · Physics 2018-04-04 Efrat Gerchkovitz , Avner Karasik

We consider models with N U(1) gauge fields A_{\mu}^n, N Kalb-Ramond fields B_{\mu \nu}^n, an arbitrary bare action and a fixed UV cutoff \Lambda. Under mild assumptions these can be obtained as effective low energy theories of SU(N+1) Yang…

High Energy Physics - Theory · Physics 2010-02-03 U. Ellwanger , N. Wschebor

We study confinement in softly broken N=2 SUSY QCD with gauge group SU(N_c) and N_f hypermultiplets of fundamental matter (quarks) when the Coulomb branch is lifted by small mass of adjoint matter. Concentrating mostly on the theory with…

High Energy Physics - Theory · Physics 2010-05-27 A. Marshakov , A. Yung

Monopole and photon contributions to abelian Wilson loops are calculated using Monte-Carlo simulations of finite-temperature $SU(2)$ QCD in the maximally abelian gauge. Long monopole loops alone are responsible for the behavior of the…

High Energy Physics - Lattice · Physics 2009-10-22 Shinji Ejiri , Shun-ichi Kitahara , Yoshimi Matsubara , Tsuneo Suzuki

In the presence of Chern-Simons interactions the wave functionals of physical states in 2+1-dimensional gauge theories vanish at anumber of nodal points. We show that those nodes are located at some classical configurations which carry a…

High Energy Physics - Theory · Physics 2009-10-28 M. Asorey , F. Falceto , J. L. Lopez , G. Luzon

We present results for the heavy quark potential computed in SU(3) from magnetic monopoles and from center vortices. The monopoles are identified after fixing SU(3) lattice configurations to the maximal abelian gauge. The center vortices…

High Energy Physics - Lattice · Physics 2009-10-31 Roy Wensley , John Stack

We study nonabelian vortices (flux tubes) in SU(N) gauge theories, which are responsible for the confinement of (nonabelian) magnetic monopoles. In particular a detailed analysis is given of ${\cal N}=2$ SQCD with gauge group SU(3) deformed…

High Energy Physics - Theory · Physics 2010-05-27 Roberto Auzzi , Stefano Bolognesi , Jarah Evslin , Kenichi Konishi , Alexei Yung

As a color confinement mechanism, a dual Meissner effect due to Abelian monopoles involved in QCD has been discussed so far in various ways. But still there is an important problem unsolved. It is gauge invariance of the schemes or, in…

High Energy Physics - Lattice · Physics 2022-04-29 Tsuneo Suzuki

Recent progress achieved in the solution of the problem of confinement in various (non-)Abelian gauge theories by virtue of a derivation of their string representation is reviewed. The theories under study include QCD within the so-called…

High Energy Physics - Theory · Physics 2015-06-26 Dmitri Antonov

Recently (hep-th/0104171) we considered N=2 super Yang-Mills with a N=2 mass breakingn term and showed the existence of BPS Z_{k}-string solutions for arbitrary simple gauge groups which are spontaneously broken to non-Abelian residual…

High Energy Physics - Theory · Physics 2009-11-07 Marco A. C. Kneipp

Cosmic strings in non-abelian gauge theories naturally gain a spectrum of massless, or light, excitations arising from their embedding in color and flavor space. This opens up the possibility that colliding strings miss each other in the…

High Energy Physics - Theory · Physics 2009-11-11 Koji Hashimoto , David Tong

We study confining strings in ${\cal{N}}=1$ supersymmetric $SU(N_c)$ Yang-Mills theory in the semiclassical regime on $\mathbb{R}^{1,2} \times \mathbb{S}^1$. Static quarks are expected to be confined by double strings composed of two domain…

High Energy Physics - Theory · Physics 2021-01-13 Mathew W. Bub , Erich Poppitz , Samuel S. Y. Wong

The effect of restricting the plaquette ($1\times 1$ Wilson loop) to be greater than a certain cutoff is studied. The action considered is the standard Wilson action with the addition of the plaquette restriction, which does not affect the…

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