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Related papers: k-string tensions in SU(N) gauge theories

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The superstring theory in the light-cone gauge admits various gauge symmetries. Therefore, we gauge the superstring sigma model in the light-cone gauge under the gauge group SU(4). Some properties of the gauged action and the corresponding…

High Energy Physics - Theory · Physics 2010-03-18 Davoud Kamani

Simple scaling properties of correlation functions of a confining gauge theory in d-dimensions lead to the conclusion that k-string dynamics is described, in the infrared limit, by a two-dimensional conformal field theory with conformal…

High Energy Physics - Theory · Physics 2010-10-27 Pietro Giudice , Ferdinando Gliozzi , Stefano Lottini

We study SU(3) gauge theory on small lattices in the minimal (qutrit) electric field truncation retaining only the ${\bf 1}, {\bf 3}, {\bf \overline{3}}$ representations for the link variables. Explicit expressions are given for the…

High Energy Physics - Lattice · Physics 2026-01-16 Vincent Chen , Berndt Müller , Xiaojun Yao

In $\mathrm{U(1)}$ lattice gauge theory in three spacetime dimensions, confinement can be analytically shown to persist at all values of the coupling. Furthermore, the explicit predictions for the dependence of string tension $\sigma$ and…

High Energy Physics - Lattice · Physics 2014-05-02 Davide Vadacchino , Michele Caselle , Roberto Pellegrini , Marco Panero

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 compute, via numerical simulations, the non-perturbative Coulomb potential of pure SU(3) gauge theory in Coulomb gauge. We find that that the Coulomb potential scales nicely in accordance with asymptotic freedom, that the Coulomb…

High Energy Physics - Lattice · Physics 2015-03-05 Jeff Greensite , Adam P. Szczepaniak

The surface tension $\sigma$ of the confined-deconfined interface is calculated in pure $SU(3)$ lattice gauge theory at finite temperatures employing the operator and integral methods on a lattice of a size $8^2\times N_z\times 2$ with…

High Energy Physics - Lattice · Physics 2014-11-17 Yasumichi Aoki , Kazuyuki Kanaya

We study the theta dependence of the spectrum of four-dimensional SU(N) gauge theories, where theta is the coefficient of the topological term in the Lagrangian, for N>=3 and in the large-N limit. We compute the O(theta^2) terms of the…

High Energy Physics - Theory · Physics 2010-02-03 Luigi Del Debbio , Gian Mario Manca , Haralambos Panagopoulos , Apostolos Skouroupathis , Ettore Vicari

I review the status of the issue of the k-string tension in Yang-Mills theory. After a summary of known facts I discuss a weakly coupled four-dimensional Yang-Mills theory that supports non-Abelian strings and can, in certain aspects, serve…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Shifman

We present the result of our computation of the lowest lying meson masses for SU(N) gauge theory in the large $N$ limit (with $N_f/N\longrightarrow 0$). The final values are given in units of the square root of the string tension, and with…

High Energy Physics - Lattice · Physics 2020-11-30 Margarita García Pérez , Antonio González-Arroyo , Masanori Okawa

In the context of gauge/gravity duality, we try to understand better the proposed duality between the fractional D2-brane supergravity solutions of (Nucl. Phys. B 606 (2001) 18, hep-th/0101096) and a confining 2+1 dimensional gauge theory.…

High Energy Physics - Theory · Physics 2009-11-07 Christopher P. Herzog

The classic argument by Polyakov showing that monopoles produce confinement in the Higgs phase of the Georgi-Glashow model is generalized to study the spectrum of k-strings. We find that the leading-order low-density approximation yields…

High Energy Physics - Theory · Physics 2009-11-10 Dmitri Antonov , Luigi Del Debbio

In this talk we will report on a study of the $\theta$-dependence of the string tension and of the mass gap of four-dimensional SU($N$) Yang--Mills theories. The spectrum at $N=3$ and $N=6$ was obtained on the lattice at various imaginary…

High Energy Physics - Lattice · Physics 2024-12-02 Claudio Bonanno , Claudio Bonati , Mario Papace , Davide Vadacchino

Based on a model of the d=3 SU(2) pure gauge theory vacuum as a monopole-vortex condensate, we give a quantitative (if model-dependent) estimate of the relation between the string tension and a gauge-invariant measure of the Chern-Simons…

High Energy Physics - Theory · Physics 2009-10-28 John M. Cornwall , Bryce Yan

Effective string theory has shown its universal power in the prediction of the spectrum of low-lying excited states of confining strings. Here we study confining flux tubes in $\mathbb{Z}_N$ gauge theories. For the $N=2$ theory, which…

High Energy Physics - Lattice · Physics 2023-12-08 Andreas Athenodorou , Sergei Dubovsky , Conghuan Luo , Michael Teper

We discuss two issues related to the physics of center vortices in pure SU(N) lattice gauge theory at large N: (1) Center vortices are stable classical solutions of the Wilson action, as well as of a wide class of improved lattice actions,…

High Energy Physics - Lattice · Physics 2009-11-07 J. Greensite , S. Olejnik

Using a new type of simulation algorithm for the standard SU(3) lattice gauge theory that yields results with unprecedented precision, we confirm the presence of a $\gamma/r$ correction to the static quark potential at large distances $r$,…

High Energy Physics - Lattice · Physics 2010-02-03 Martin Lüscher , Peter Weisz

We determine the critical couplings for the deconfinement phase transition in $SU(2)$ gauge theory on $N_\tau \times N_\sigma^3$ lattices with $N_\tau = 8$ and 16 and $N_\sigma$ varying between 16 and 48. A comparison with string tension…

High Energy Physics - Lattice · Physics 2009-10-22 J. Fingberg , U. M. Heller , F. Karsch

We study the effective bosonic string that describes confining flux tubes in three-dimensional SU(N) Yang--Mills theories. Although the low-energy properties are universal and well described by the Nambu--Got\=o action, the subtle…

High Energy Physics - Lattice · Physics 2024-12-20 Michele Caselle , Nicodemo Magnoli , Alessandro Nada , Marco Panero , Dario Panfalone , Lorenzo Verzichelli

Using a three-level algorithm we perform a high-precision lattice computation of the static force up to 1fm in the 2+1 dimensional SU(5) gauge theory. Discretization errors and the continuum limit are discussed in detail. By comparison with…

High Energy Physics - Lattice · Physics 2008-11-26 Harvey B. Meyer