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We study the quark confinement problem in 2+1 dimensional pure Yang-Mills theory using euclidean instanton methods. The instantons are regularized and dressed Wu-Yang monopoles. The dressing of a monopole is due to the mean field of the…

High Energy Physics - Theory · Physics 2009-10-28 Sumit R. Das , Spenta R. Wadia

We present a lattice study of the equation of state in Yang-Mills theory based on the exceptional G(2) gauge group. As is well-known, at zero temperature this theory shares many qualitative features with real-world QCD, including the…

High Energy Physics - Lattice · Physics 2015-03-16 Mattia Bruno , Michele Caselle , Marco Panero , Roberto Pellegrini

A center vortex model for the infrared sector of SU(4) Yang-Mills theory is constructed such as to reproduce both the ratio between the zero-temperature quark and diquark string tensions known from lattice Yang-Mills theory, as well as the…

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

In this work, we employ both theoretical and data-driven methods to derive the QCD vacuum energy, utilizing the GMOR relation, the low-energy theorem, and the equation of state from Lattice QCD. The QCD vacuum energy is determined to be…

High Energy Physics - Phenomenology · Physics 2026-05-28 Yang Bai , Ting-Kuo Chen

We study the static three-quark (3Q) potential in detail using SU(3) lattice QCD with $12^3 \times 24$ at $\beta=5.7$ and $16^3 \times 32$ at $\beta=5.8, 6.0$ at the quenched level. For more than 200 patterns of the 3Q systems, we…

High Energy Physics - Lattice · Physics 2009-11-07 T. T. Takahashi , H. Suganuma , H. Matsufuru , Y. Nemoto

We present results from a lattice study of SU(2) color, N=1 supersymmetric Yang-Mills theory using domain wall fermions. Supersymmetry in this particular lattice formulation is expected to emerge in the continuum and chiral limits without…

High Energy Physics - Lattice · Physics 2010-01-21 Michael G. Endres

Recently it has been argued that infrared singularities of the quark-gluon vertex of Landau gauge QCD can confine static quarks via a linear potential. It is demonstrated that the same mechanism also may confine fundamental scalar fields.…

High Energy Physics - Phenomenology · Physics 2015-05-20 Reinhard Alkofer , Leonard Fister , Axel Maas , Veronika Macher

We propose magnetic SU(N) pure gauge theory as an effective field theory describing the long distance nonperturbative magnetic response of the deconfined phase of Yang-Mills theory. The magnetic non-Abelian Lagrangian, unlike that of…

High Energy Physics - Phenomenology · Physics 2009-06-25 M. Baker

We illustrate some physical application of a lattice formulation of the two-dimensional $\mathcal{N}=(2,2)$ supersymmetric SU(2) Yang-Mills theory with a (small) supersymmetry breaking scalar mass. Two aspects, power-like behavior of…

High Energy Physics - Lattice · Physics 2009-02-18 Issaku Kanamori , Hiroshi Suzuki

We revisit the dyon-anti-dyon liquid model for the Yang-Mills confining vacuum discussed by Diakonov and Petrov, by retaining the effects of the classical interactions mediated by the streamline between the dyons and anti-dyons. In the…

High Energy Physics - Phenomenology · Physics 2015-10-14 Yizhuang Liu , Edward Shuryak , Ismail Zahed

The goal of this paper is to arrive at a low energy effective theory of QCD with two massless flavors of quarks at very high isospin density and zero baryon density. In a seminal paper by Son and Stephanov in the year 2001, it was…

High Energy Physics - Phenomenology · Physics 2015-10-01 Thomas D. Cohen , Srimoyee Sen

We study the potential between a static center monopole and antimonopole in 4d SU(2) Yang-Mills theory. Using a new numerical method, we show that the 't Hooft loop is a dual order parameter with respect to the Wilson loop, for the…

High Energy Physics - Lattice · Physics 2009-10-31 Ph. de Forcrand , M. D'Elia , M. Pepe

We propose a new description of the SU(N) Yang-Mills theory on a lattice, which enables one to explain quark confinement based on the dual superconductivity picture in a gauge independent way. This is because we can define gauge-invariant…

High Energy Physics - Lattice · Physics 2010-01-21 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Shoichi Ito , Toru Shinohara , Takeharu Murakami

The static three-quark (3Q) potential is measured in the SU(3) lattice QCD with $12^3 \times 24$ and $\beta=5.7$ at the quenched level. From the 3Q Wilson loop, the 3Q ground-state potential $V_{\rm 3Q}$ is extracted using the smearing…

High Energy Physics - Lattice · Physics 2008-11-26 T. T. Takahashi , H. Matsufuru , Y. Nemoto , H. Suganuma

We study quark confinement by computing the Polyakov loop potential in Yang--Mills theory within different non-perturbative functional continuum approaches [1]. We extend previous studies in the formalism of the functional renormalisation…

High Energy Physics - Phenomenology · Physics 2013-02-07 Leonard Fister , Jan M. Pawlowski

Within the AdS/CFT correspondence we use multicentre D3-brane metrics to investigate Wilson loops and compute the associated heavy quark-antiquark potentials for the strongly coupled SU(N) super-Yang-Mills gauge theory, when the gauge…

High Energy Physics - Theory · Physics 2007-05-23 A. Brandhuber , K. Sfetsos

The standard model of strong interactions invokes the quantum chromodynamics (QCD) of quarks and gluons interacting within a fluid. At sufficiently small length scales, the effective interactions between the color charged particles within…

High Energy Physics - Theory · Physics 2009-11-19 Y. N. Srivastava , O. Panella , A. Widom

We construct an anomaly-preserving compactification of 4d gauge theories, including $SU(N)$ Yang-Mills theory, $\mathcal{N}=1$ supersymmetric Yang-Mills theory, and QCD, down to 2d by turning on 't Hooft flux through $T^2$. It provides a…

High Energy Physics - Theory · Physics 2022-04-27 Yuya Tanizaki , Mithat Ünsal

We consider a simple massive extension of the Landau-DeWitt gauge for SU($N$) Yang-Mills theory. We compute the corresponding one-loop effective potential for a temporal background gluon field at finite temperature. At this order the…

High Energy Physics - Phenomenology · Physics 2015-08-10 U. Reinosa , J. Serreau , M. Tissier , N. Wschebor

A natural mechanism for finite temperature quark confinement arises via the coupling of the adjoint Polyakov loop to the chromomagnetic field. Lattice simulations and analytical results both support this hypothesis. Finite temperature SU(3)…

High Energy Physics - Lattice · Physics 2009-10-30 Michael Ogilvie