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The $N=4$ supersymmetric self-dual Yang-Mills theory in a four- dimensional space with signature $(2,2)$ is formulated in harmonic superspace. The on-shell constraints of the theory are reformulated in the equivalent form of vanishing…

High Energy Physics - Theory · Physics 2009-10-28 E. Sokatchev

We summarize and extend evidence that the deconfinement phase transition in Yang-Mills theories can be viewed as change of effective non-perturbative degrees of freedom and of symmetries of their interactions. In short, the strings in four…

High Energy Physics - Phenomenology · Physics 2009-04-09 M. N. Chernodub , Atsushi Nakamura , V. I. Zakharov

In U(1) lattice gauge theory in three spacetime dimensions, the problem of confinement can be studied analytically in a semi-classical approach, in terms of a gas of monopoles with Coulomb-like interactions. In addition, this theory can be…

High Energy Physics - Lattice · Physics 2015-01-27 Michele Caselle , Marco Panero , Roberto Pellegrini , Davide Vadacchino

The aim of this talk is to give a brief introduction to the problem of confinement in QCD and to N=2 globally supersymmetric Yang-Mills gauge theories (SYM). While avoiding technicalities as much as possible I will try to emphasize the…

High Energy Physics - Theory · Physics 2007-05-23 F. Fucito

SU(2) Yang-Mills Theory coupled to massive adjoint scalar matter is studied in (1+1) dimensions using Discretised Light-Cone Quantisation. This theory can be obtained from pure Yang-Mills in 2+1 dimensions via dimensional reduction. On the…

High Energy Physics - Theory · Physics 2009-10-28 Alex C. Kalloniatis

The correspondence of the non-critical string theory and the Yang-Mills theory is examined according to the recent Polyakov's proposal, and two possible solutions of the bulk equations are addressed near the fixed points of the pure…

High Energy Physics - Theory · Physics 2008-11-26 Kazuo Ghoroku

We suggest a means of obtaining certain Green's functions in 3+1-dimensional ${\cal N} = 4$ supersymmetric Yang-Mills theory with a large number of colors via non-critical string theory. The non-critical string theory is related to critical…

High Energy Physics - Theory · Physics 2008-11-26 S. S. Gubser , I. R. Klebanov , A. M. Polyakov

Pure Yang-Mills theory in 2 spacetime dimensions shows exact Casimir scaling. Thus there are infinitely many string tensions, and this has been understood as a result of non-propagating gluons in 2 dimensions. From ordinary symmetry…

High Energy Physics - Theory · Physics 2021-09-06 Mendel Nguyen , Yuya Tanizaki , Mithat Ünsal

We report on a very accurate measurement of the static quark potential in SU(2) Yang-Mills theory in (2+1) dimensions in order to study the corrections to the linear behaviour. We perform numerical simulations at zero and finite temperature…

High Energy Physics - Lattice · Physics 2010-02-03 M. Caselle , M. Pepe , A. Rago

We show that two-dimensional SO(N) and Sp(N) Yang-Mills theories without fermions can be interpreted as closed string theories. The terms in the 1/N expansion of the partition function on an orientable or nonorientable manifold M can be…

High Energy Physics - Theory · Physics 2010-11-01 S. G. Naculich , H. A. Riggs , H. J. Schnitzer

We investigate the transverse fluctuations of the confining string connecting two static quarks in (2+1)-d SU(2) Yang-Mills theory using Monte Carlo calculations. The exponentially suppressed signal is extracted from the large noise by a…

High Energy Physics - Lattice · Physics 2010-11-11 F. Gliozzi , M. Pepe , U. -J. Wiese

I put forward the low-energy confining asymptote of the solution $<W_{C}>$ (valid for large macroscopic contours C of the size $>>1/\Lambda_{QCD}$) to the large N Loop equation in the D=4 U(N) Yang-Mills theory with the asymptotic freedom…

High Energy Physics - Theory · Physics 2016-09-06 Andrey Yu. Dubin

We present a family of nonrelativistic Yang-Mills gauge theories in D+1 dimensions whose free-field limit exhibits quantum critical behavior with gapless excitations and dynamical critical exponent z=2. The ground state wavefunction is…

High Energy Physics - Theory · Physics 2014-11-18 Petr Horava

We study the physics of N=1 super Yang-Mills theory with gauge group U(Nc) and one adjoint Higgs field, by using the recently derived exact effective superpotentials. Interesting phenomena occur for some special values of the Higgs…

High Energy Physics - Theory · Physics 2010-12-03 Frank Ferrari

The confinement problem has been solved in the anisotropic (2+1)-dimensional SU(N) Yang-Mills theory at weak coupling. In this paper, we find the low-lying spectrum for N=2. The lightest excitations are pairs of fundamental particles of the…

High Energy Physics - Theory · Physics 2008-11-26 Peter Orland

In this note the connection between "perfect dark matter" and string-localization as the tightest noncompact localized matter is pursued in the context of Yang Mills theories. A programmatic approach based on the observation that behind the…

High Energy Physics - Theory · Physics 2008-07-10 Bert Schroer

We discuss the effective string picture for the confining regime of lattice gauge theories at zero and finite temperature. We present results of extensive Monte Carlo simulations - performed with the Luscher and Weisz algorithm - for SU(2)…

High Energy Physics - Lattice · Physics 2009-11-10 M. Caselle , M. Pepe , A. Rago

The width of the quantum delocalization of the QCD strings is investigated in effective string models beyond free Nambu-Goto approximation. We consider two Lorentzian-invariant boundary-terms in the L\"uscher-Weisz string action in addition…

High Energy Physics - Lattice · Physics 2020-02-28 A. S. Bakry , M. A. Deliyergiyev , A. A. Galal , A. M. Khalaf , M. Khalil William

We show that, starting from known exact classical solutions of the Yang-Mills theory in three dimensions, the string tension is obtained and the potential is consistent with a marginally confining theory. The potential we obtain agrees…

High Energy Physics - Theory · Physics 2017-04-26 Marco Frasca

Spherically and cylindrically symmetric solutions of SU(3) Yang-Mills theory are found, whose gauge potentials have confining properties. The spherically symmetric solutions give field distributions which have a spherical surface on which…

High Energy Physics - Theory · Physics 2007-05-23 V. Dzhunushaliev , D. Singleton