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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

We continue the study of flux tubes in confining gauge theories placed in a rigid AdS background, focusing on the three-dimensional case. Our analysis is performed in the large-radius regime, where effective string theory provides a good…

High Energy Physics - Theory · Physics 2026-05-13 Barak Gabai , Victor Gorbenko , Bendeguz Offertaler

The structures of confining vortices which underlie pure SU(3) Yang-Mills theory are studied by means of lattice gauge theory. Vortices and Z_3 monopoles are defined as dynamical degrees of freedom of the Z_3 gauge theory which emerges by…

High Energy Physics - Lattice · Physics 2008-11-26 Kurt Langfeld

For a $(2+1)$-dimensional reformulated SU(2) Yang-Mills theory, we compute the interaction potential within the framework of the gauge-invariant but path-dependent variables formalism. This reformulation is due to the presence of a constant…

High Energy Physics - Theory · Physics 2008-11-26 Patricio Gaete , Eduardo Guendelman , Euro Spallucci

In axial gauge, the (2+1)-dimensional SU($N$) Yang-Mills theory is equivalent to a set of (1+1)-dimensional integrable models with a non-local coupling between charge densities. This fact makes it possible to determine the static potential…

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

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

Maximally supersymmetric Yang--Mills theory in four dimensions can be formulated on a space-time lattice while exactly preserving a single supersymmetry. Here we explore in detail this lattice theory, paying particular attention to its…

High Energy Physics - Lattice · Physics 2014-09-12 Simon Catterall , Poul H. Damgaard , Thomas DeGrand , Joel Giedt , David Schaich

We study the 2+1 dimensional SU(N) Yang-Mills theory on a finite two-torus with twisted boundary conditions. Our goal is to study the interplay between the rank of the group N, the length of the torus L and the Z_N magnetic flux. After…

High Energy Physics - Lattice · Physics 2013-07-22 Margarita García Pérez , Antonio González-Arroyo , Masanori Okawa

Some mysterious features of the strong interactions become easily understood if our usual QCD with N=3 is `close to' SU(oo) and if the latter theory is confining. N=oo theories are theoretically simpler; in particular there has been much…

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

We calculate the energy spectrum of a confining flux tube that is closed around a spatial torus, as a function of its length l. We do so for various SU(N) gauge theories in 3+1 dimensions, and for various values of spin, parity and…

High Energy Physics - Lattice · Physics 2011-02-15 Andreas Athenodorou , Barak Bringoltz , Michael Teper

We show that 3d SU(2) lattice Yang--Mills theory can be cast in the form of an exact string representation. The derivation starts from the exact dual (or spin foam) representation of the lattice gauge theory. We prove that every dual…

High Energy Physics - Theory · Physics 2007-07-03 Florian Conrady , Igor Khavkine

Owing to Lorentz invariance, the leading terms in the effective action describing the low-energy dynamics of flux tubes in a confining gauge theory are universal. Besides the terms corresponding to the Nambu-Goto action, Lorentz invariance…

High Energy Physics - Lattice · Physics 2015-05-12 Michele Caselle , Davide Vadacchino , Marco Panero , Roberto Pellegrini

We carry out lattice calculations of the spectrum of confining flux tubes that wind around a spatial torus of variable length l, in 2+1 dimensions. We compare the energies of the lowest c.30 states to the free string Nambu-Goto model and to…

High Energy Physics - Lattice · Physics 2015-05-27 Andreas Athenodorou , Barak Bringoltz , Michael Teper

The center vortex model for the infrared sector of Yang-Mills theory, previously studied for the SU(2) gauge group, is extended to SU(3). This model is based on the assumption that vortex world-surfaces can be viewed as random surfaces in…

High Energy Physics - Lattice · Physics 2009-11-10 M. Engelhardt , M. Quandt , H. Reinhardt

We study the continuum limit of the string-like behaviour of flux tubes formed between static quarks and anti-quarks in three dimensional SU(2) lattice gauge theory. We compare our simulation data with the predictions of both effective…

High Energy Physics - Lattice · Physics 2008-11-26 N. D. Hari Dass , Pushan Majumdar

We study the continuum limit of the string-like behaviour of flux tubes formed between static quarks and anti-quarks in three dimensional SU(2) lattice gauge theory. We compare our simulation data with the predictions of both effective…

High Energy Physics - Lattice · Physics 2008-11-26 N. D. Hari Dass , Pushan Majumdar

A model for the quantum effective description of the vacuum structure of thermalized SU(3) Yang-Mills theory is proposed. The model is based on Abelian projection leading to a Ginzburg-Landau theory for the magnetic sector. The possibility…

High Energy Physics - Phenomenology · Physics 2017-08-23 Ralf Hofmann

Structure of confining string in terms of the topological charge density and the action density is studied in SU(2) Yang-Mills theory on the lattice using HP1 sigma-model embedding approach. We find that the confining flux tube noticeably…

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

We study the infrared behavior of the effective Coulomb potential in lattice SU(3) Yang-Mills theory in the Coulomb gauge. We use lattices up to a size of 48^4 and three values of the inverse coupling, beta=5.8, 6.0 and 6.2. While…

High Energy Physics - Lattice · Physics 2008-11-26 A. Voigt , E. -M. Ilgenfritz , M. Müller-Preussker , A. Sternbeck

Compact U(1) lattice gauge theory in four dimensions is studied by means of an efficient algorithm which exploits the duality transformation properties of the model. We focus our attention onto the confining regime, considering the…

High Energy Physics - Lattice · Physics 2009-02-07 Marco Panero