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The hierarchy of equations of motion for equal-time Green functions in temporal gauge SU(N) Yang-Mills theory is truncated using an expansion in terms of connected Green functions. A second hierarchy of constraint equations arises from…

High Energy Physics - Theory · Physics 2009-10-30 J. M. Hauser , W. Cassing , S. Leupold , M. H. Thoma

We provide a detailed analysis of the gravitational wave spectrum of $SU(N)$ pure Yang-Mills theory. The confinement phase transition is described with an effective Polyakov loop model, using the latest lattice data as an input. In…

High Energy Physics - Phenomenology · Physics 2025-12-17 Stephan Huber , Rory Phipps , Manuel Reichert

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

We study the behaviour of \SU{2} Yang-Mills fields on a $T_2\times R^2$ geometry where the two-torus is equipped with twisted boundary conditions. We monitor the evolution of the dynamics of the system as a function of the torus size $l_s$.…

High Energy Physics - Lattice · Physics 2025-05-16 Georg Bergner , Antonio González-Arroyo , Ivan Soler

The infrared structure of SU(2) Yang-Mills theory is studied by means of lattice gauge simulations using a new constrained cooling technique. This method reduces the action while all Polyakov lines on the lattice remain unchanged. In…

High Energy Physics - Lattice · Physics 2015-03-17 Kurt Langfeld , Ernst-Michael Ilgenfritz

The logarithmic broadening predicted by the systematic low-energy effective field theory for the confining string has recently been verified in numerical simulations of (2+1)-d SU(2) lattice Yang-Mills theory at zero temperature. The same…

High Energy Physics - Lattice · Physics 2011-03-30 F. Gliozzi , M. Pepe , U. -J. Wiese

In the large-$N$ and strong-coupling limit, maximally supersymmetric SU($N$) Yang--Mills theory in $(2 + 1)$ dimensions is conjectured to be dual to the decoupling limit of a stack of $N$ D$2$-branes, which may be described by IIA…

High Energy Physics - Theory · Physics 2020-11-11 Simon Catterall , Joel Giedt , Raghav G. Jha , David Schaich , Toby Wiseman

Pure lattice SU(2) Yang-Mills theory in five dimensions is considered, where an extra dimension is compactified on a circle. Monte-Carlo simulations indicate that the theory possesses a continuum limit with a non-vanishing string tension if…

High Energy Physics - Phenomenology · Physics 2010-11-19 Shinji Ejiri , Jisuke Kubo , Michika Murata

Pure lattice gauge theories in three dimensions are widely expected to confine. A rigorous proof of confinement for three-dimensional $\mathrm{U}(1)$ lattice gauge theory with Villain action was given by G\"opfert and Mack. Beyond the…

Mathematical Physics · Physics 2026-02-03 Sourav Chatterjee

String representations of the Wilson loop are constructed in the SU(N)-version of compact QED in three and four dimensions. This is done exactly in the case of the fundamental Wilson loop and in the large-N limit in the case of the adjoint…

High Energy Physics - Theory · Physics 2010-04-15 Dmitri Antonov

We review properties of lower-dimension vacuum defects observed in lattice simulations of SU(2) Yang-Mills theories. One- and two-dimensional defects are associated with ultraviolet divergent action. The action is the same divergent as in…

High Energy Physics - Phenomenology · Physics 2009-11-11 V. I. Zakharov

The Yang-Mills theory with noncommutative fields is constructed following Hamiltonian and lagrangean methods. This modification of the standard Yang-Mills theory shed light on the confinement mechanism viewed as a Lorentz invariance…

High Energy Physics - Theory · Physics 2009-11-11 H. Falomir , J. Gamboa , J. Lopez-Sarrion , F. Mendez , A. J. da Silva

SU(N) gauge theories, extended with adjoint fermions having periodic boundary conditions, are confining at high temperature for sufficiently light fermion mass $m$. In the high temperature confining region, the one-loop effective potential…

High Energy Physics - Lattice · Physics 2010-02-04 Peter N. Meisinger , Michael C. Ogilvie

We study the Z(2) lattice gauge theory in three dimensions, and present high precision estimates for the first few energy levels of the string spectrum. These results are obtained from new numerical data for the two-point Polyakov loop…

High Energy Physics - Lattice · Physics 2009-02-07 Michele Caselle , Martin Hasenbusch , Marco Panero

The effective string describing the large distance behaviour of the quark sources of gauge field theories in the confining phase in D=3 or D=4 space-time dimensions can be formulated, in the infrared limit, as a suitable 2D conformal field…

High Energy Physics - Lattice · Physics 2009-10-22 M. Caselle , F. Gliozzi , S. Vinti

It is shown that an effective theory with meron degrees of freedom produces confinement in SU(2) Yang Mills theory. This effective theory is compatible with center symmetry. When the scale is set by the string tension, the action density…

High Energy Physics - Theory · Physics 2008-11-26 F. Lenz , J. W. Negele , M. Thies

In presence of a static pair of sources, the spectrum of low-lying states of any confining gauge theory in D space-time dimensions is described, at large source separations, by an effective string theory. Recently two important advances…

High Energy Physics - Lattice · Physics 2014-01-08 Marco Billò , Michele Caselle , Davide Fioravanti , Ferdinando Gliozzi , Marco Meineri , Roberto Pellegrini , Roberto Tateo

The dual Meissner effect is the promising mechanism for quark confinement. We have proposed a new formulation of SU(N) Yang-Mills (YM) theory on a lattice, which can extract the dominant mode for quark confinement in the gauge independent…

High Energy Physics - Lattice · Physics 2012-04-26 Akihiro Shibata , Kei-Ichi Kondo , Toru Shinohara

We consider the N=1* supersymmetric SU(2) gauge theory and demonstrate that the Z_2 vortices in this theory acquire orientational zero modes, associated with the rotation of magnetic flux inside SU(2) group, and turn into the non-Abelian…

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

The spherically and cylindrically symmetric solutions of the $SU(3)$ Yang - Mills theory are obtained. The corresponding gauge potential has the confining properties. It is supposed that: a) the spherically symmetric solution is a field…

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