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We propose and analyze a new method of detecting center vortices and monopoles in lattice Yang-Mills theory. This procedure is sensitive to the intrinsic degeneracy of the center charges, which play a crucial role in how these topological…

High Energy Physics - Lattice · Physics 2026-05-04 Tereza Mendes , Luis E. Oxman , Gustavo M. Simões , Rafael C. S. Tonhon

The Dirac operator describing the coupling of continuum quark fields to SU(2) center vortex world-surfaces composed of elementary squares on a hypercubic lattice is constructed. It is used to evaluate the quenched Dirac spectral density in…

High Energy Physics - Lattice · Physics 2009-11-07 Michael Engelhardt

he Wu-Yang monopole for pure SU(2) Yang-Mills theory is revisited. New classical solutions with finite energy are found for a generalized Wu-Yang configuration. Our method relies on known asymptotic series solutions and explores the…

High Energy Physics - Theory · Physics 2010-04-21 J. A. O. Marinho , O. Oliveira , B. V. Carlson , T. Frederico

We discuss the implementation of the ``direct'' maximal center gauge (a gauge which maximizes the lattice average of the squared-modulus of the trace of link variables), and its use in identifying Z(2) center vortices in Yang-Mills vacuum…

High Energy Physics - Lattice · Physics 2008-11-26 L. Del Debbio , M. Faber , J. Giedt , J. Greensite , S. Olejnik

The AdS/CFT correspondence suggests that there is a point in the phase diagram of strongly interacting gauge-theory matter where the viscosity approaches zero. This paper analyses the possibility that this point represents a superfluid and…

High Energy Physics - Theory · Physics 2007-12-18 Ian G. Moss

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

We show the running coupling as derived from the SU(3) QQ potential and discuss preliminary results on spin dependent heavy quark potentials from high statistics lattice simulations of SU(2) gauge theory. The precision suffices to study…

High Energy Physics - Lattice · Physics 2007-05-23 G. S. Bali , K. Schilling , C. Schlichter , A. Wachter

We present a method for computing the static quark-antiquark potential, which is not based on Wilson loops, but where the trial states are formed by eigenvector components of the covariant lattice Laplace operator. We have tested this…

High Energy Physics - Lattice · Physics 2016-10-31 Tobias Neitzel , Janik Kämper , Owe Philipsen , Marc Wagner

We study the spatial distribution of the stress tensor around static quark-anti-quark pair in SU(3) lattice gauge theory. In particular, we reveal the transverse structure of the stress tensor distribution in detail by taking the continuum…

High Energy Physics - Lattice · Physics 2019-01-14 Ryosuke Yanagihara , Takumi Iritani , Masakiyo Kitazawa , Masayuki Asakawa , Tetsuo Hatsuda

We consider the relationship between the higher symmetry and the dynamical decomposition in supersymmetric gauge theory in various dimensions by studying the semi-classical potential energy. We observe that besides the scalar moduli we…

High Energy Physics - Theory · Physics 2025-04-02 Wei Gu

In this work, we derive a recently proposed Abelian model to describe the interaction of correlated monopoles, center vortices, and dual fields in three dimensional SU(2) Yang-Mills theory. Following recent polymer techniques, special care…

High Energy Physics - Theory · Physics 2015-05-28 A. L. L. de Lemos , L. E. Oxman , B. F. I. Teixeira

Three-dimensional quantum electrodynamics exhibits a number of interesting properties, such as dynamical chiral symmetry breaking, weak confinement, and non-Fermi liquid behavior, and also has wide applications in condensed matter physics.…

Strongly Correlated Electrons · Physics 2017-07-05 Peng-Lu Zhao , An-Min Wang , Guo-Zhu Liu

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

We investigate SU(2) gauge theory in a constant chromomagnetic field in three dimensions both in the continuum and on the lattice. Using a variational method to stabilize the unstable modes, we evaluate the vacuum energy density in the…

High Energy Physics - Lattice · Physics 2009-10-22 P. Cea , L. Cosmai

We derive a topological action that describes the confining phase of (Super-)Yang-Mills theories with gauge group $SU(N)$, similar to the work recently carried out by Seiberg and collaborators. It encodes all the Aharonov-Bohm phases of the…

High Energy Physics - Theory · Physics 2014-11-19 Markus Dierigl , Alexander Pritzel

We calculate the lowest-order corrections to the static potential for both Yang-Mills theory and gluodynamics in curved space-time, in the presence of a quantum gravity induced minimal length. Our analysis is carried out within stationary…

High Energy Physics - Theory · Physics 2015-06-17 Patricio Gaete

Maintaining local interactions in the quantum simulation of gauge field theories relegates most states in the Hilbert space to be unphysical -- theoretically benign, but experimentally difficult to avoid. Reformulations of the gauge fields…

Quantum Physics · Physics 2021-05-12 Anthony Ciavarella , Natalie Klco , Martin J. Savage

In this work, we analyze a class of Yang-Mills models containing adjoint Higgs fields, with SU(N) symmetry spontaneously broken down to Z(N), showing they contain center vortices, Y-junctions formed by them, and junctions where different…

High Energy Physics - Theory · Physics 2013-03-14 L. E. Oxman

We investigate the SU(3) Yang Mills theory at small gradient flow time and at short distances. Lattice spacings down to $a=0.015$ fm are simulated with open boundary conditions to allow topology to flow in and out. We study the behaviour of…

High Energy Physics - Lattice · Physics 2018-04-18 Nikolai Husung , Mateusz Koren , Philipp Krah , Rainer Sommer

We study the heavy quark potential in the SU(2) positive plaquette model using monopoles in the maximum abelian gauge, and vortices. Monopoles give a quantitative description of the string tension. Vortices approximately reproduce the…

High Energy Physics - Lattice · Physics 2009-10-31 John D. Stack , William Tucker
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