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We report about our ongoing computation of running coupling constants in asymptotically free theories using the recursive finite size scaling technique. The latest results for the SU(3) Yang-Mills theory are presented.

High Energy Physics - Lattice · Physics 2009-10-22 Ulli Wolff

It is conjectured that strongly coupled, spatially noncommutative $\mathcal{N}=4$ Yang-Mills theory has a dual description as a weakly coupled open string theory in a near critical electric field, and that this dual theory is fully…

High Energy Physics - Theory · Physics 2017-09-07 Rajesh Gopakumar , Juan Maldacena , Shiraz Minwalla , Andrew Strominger

This paper deals with various interrelations between strings and surfaces in three dimensional ambient space, two dimensional integrable models and two dimensional and four dimensional decomposed SU(2) Yang-Mills theories. Initially, a…

High Energy Physics - Theory · Physics 2014-07-16 Theodora Ioannidou , Ying Jiang , Antti J. Niemi

It is shown that the formulation of the SU(3) Yang-Mills quantum Hamiltonian in the "flux-tube gauge" $A_{a1}=0$ for all a=1,2,4,5,6,7 and $A_{a2}=0$ for all a=5,7 allows for a systematic and practical strong coupling expansion of the…

High Energy Physics - Theory · Physics 2021-12-15 Hans-Peter Pavel

We present an improved study of spectroscopic observables in the $SU(2)$ Yang-Mills theory with two adjoint fermions. We make an improvement on the precision of previous results which clarify the scale of finite volume effects present. This…

The supersymmetric SU(Nc) Yang-Mills theory coupled to Nf matter fields in the fundamental representation has meta-stable vacua with broken supersymmetry when Nc < Nf < 3/2 Nc. By gauging the flavor symmetry, this model can be coupled…

High Energy Physics - Phenomenology · Physics 2010-04-06 Ryuichiro Kitano , Hirosi Ooguri , Yutaka Ookouchi

Flux tube spectra are expected to have full towers of levels due to the quantization of the string vibrations. We study a spectrum of flux tubes with static quark and antiquark sources with pure gauge $SU(3)$ lattice QCD in 3+1 dimensions…

High Energy Physics - Lattice · Physics 2022-02-16 Pedro Bicudo , Nuno Cardoso , Alireza Sharifian

We consider the Yang-Mills flow on hyperbolic 3-space. The gauge connection is constructed from the frame-field and (not necessarily compatible) spin connection components. The fixed points of this flow include zero Yang-Mills curvature…

High Energy Physics - Theory · Physics 2012-10-03 Jack Gegenberg , Andrew C. Day , Haitao Liu , Sanjeev S. Seahra

A Monte Carlo model for nuclear matter using a many body $SU_c(3)$ string flip potential, with fixed colour, is investigated. The potential is approximated by considering colour singlet flux tube formations that connect only three quarks at…

High Energy Physics - Phenomenology · Physics 2009-10-22 M. Boyce , P. J. S. Watson

We investigate the proposition that axion-Yang-Mills systems are characterized by a $3$-form gauge theory in the deep infrared regime. This hypothesis is rigorously examined by initially developing a systematic framework for analyzing…

High Energy Physics - Theory · Physics 2024-10-10 Mohamed M. Anber , Samson Y. L. Chan

I perform a high precision measurement of the static quark-antiquark potential in three-dimensional ${\rm SU}(N)$ gauge theory with $N=2$ to 6. The results are compared to the effective string theory for the QCD flux tube and I obtain…

High Energy Physics - Lattice · Physics 2018-11-30 Bastian B. Brandt

We analyze large N phase transitions for U(N) q-deformed two-dimensional Yang-Mills theory on the sphere. We determine the phase diagram of the model and we show that, for small values of the deformation parameter, the theory exhibits a…

High Energy Physics - Theory · Physics 2009-11-11 Xerxes Arsiwalla , Rutger Boels , Marcos Marino , Annamaria Sinkovics

We give a proof of perturbative renormalizability of SU(2) Yang--Mills theory in four-dimensional Euclidean space which is based on the Flow Equations of the renormalization group. The main motivation is to present a proof which does not…

Mathematical Physics · Physics 2017-10-11 Alexander N. Efremov , Riccardo Guida , Christoph Kopper

I review the analysis of (2+1)-dimensional Yang-Mills ($YM_{2+1})$ theory via the use of gauge-invariant matrix variables. The vacuum wavefunction, string tension, the propagator mass for gluons, its relation to the magnetic mass for…

High Energy Physics - Theory · Physics 2009-11-10 V. P. Nair

We present a major update on the spectrum of closed flux tubes in $D=3+1$ $SU(N)$ gauge theories. We measure the excitation spectrum of confining strings wound around a spatial dimension of a size $R$. We do so for the $SU(N)$ Yang-Mills…

High Energy Physics - Theory · Physics 2025-12-17 Andreas Athenodorou , Sergei Dubovsky , Conghuan Luo , Michael Teper

The separation of a heavy quark and antiquark pair leads to the formation of a tube of flux, or "string", which should break in the presence of light quark-antiquark pairs. This expected zero-temperature phenomenon has proven elusive in…

High Energy Physics - Lattice · Physics 2008-11-26 C. Bernard , T. DeGrand , C. DeTar , S. Gottlieb , U. M. Heller , J. Hetrick , P. Lacock , K. Orginos , R. L. Sugar , D. Toussaint

In this article, a new calculation of static potentials between sources of different representations in SU(3) gauge group is presented. The results of author's previous study \cite{Deld00} at the smallest lattice spacing $a_{s}\simeq0.11$~…

High Energy Physics - Lattice · Physics 2009-01-07 Sedigheh Deldar

We summarize recent nonperturbative results obtained for the thermodynamics of an SU(2) and an SU(3) Yang-Mills theory being in its deconfining (electric) phase. Emphasis is put on an explanation of the concepts involved. The presentation…

High Energy Physics - Theory · Physics 2007-05-23 Ralf Hofmann

In this work we investigate symmetry breaking in the presence of a turbulent environment. The transition from a symmetric state to a symmetry-breaking state is demonstrated using two examples: (i) the transition of a two-dimensional flow to…

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
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