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After fixing the Maximal Abelian gauge in SU(2) lattice gauge theory we decompose the nonabelian gauge field into the so called monopole field and the modified nonabelian field with monopoles removed. We then calculate respective static…

High Energy Physics - Lattice · Physics 2009-11-11 V. G. Bornyakov , M. I. Polikarpov , G. Schierholz , T. Suzuki , S. N. Syritsyn

Earlier investigations showed local minima in the monopole-antimonopole potential in U(1) gauge theory on the lattice. In this paper we localize monopoles of Monte-Carlo configurations. A statistical analysis of localization measurements…

High Energy Physics - Lattice · Physics 2015-05-13 Roman Hoellwieser , Manfried Faber

The topological properties of magnetic monopoles and center vortices arising, respectively, in Abelian and center gauges are studied in continuum Yang-Mills Theory. For this purpose the continuum analog of the maximum center gauge is…

High Energy Physics - Lattice · Physics 2015-06-25 H. Reinhardt , M. Engelhardt , K. Langfeld , M. Quandt , A. Schafke

A single magnetic monopole in pure SU(2) gauge theory is simulated on the lattice and its mass is computed in the full quantum theory. The results are relevant for our proposed realization of the dual superconductor hypothesis of…

High Energy Physics - Lattice · Physics 2009-10-22 J. Smit , A. J. van der Sijs

We study the Abelian and non-Abelian action densitynear the monopole in the maximal Abelian gauge of SU(2) lattice gauge theory. We find that the non-Abelian action density near the monopoles belonging to the percolating cluster decreases…

High Energy Physics - Lattice · Physics 2009-11-07 V. G. Bornyakov , M. N. Chernodub , F. V. Gubarev , M. I. Polikarpov , T. Suzuki , A. I. Veselov , V. I. Zakharov

The topological charge density and topological susceptibility are determined by multi-probing approximation using overlap fermions in quenched SU(3) gauge theory. Then we investigate the topological structure of the quenched QCD vacuum, and…

High Energy Physics - Lattice · Physics 2017-09-01 You-Hao Zou , Jian-Bo Zhang , Guang-Yi Xiong , Ying Chen , Chuan Liu , Yu-Bin Liu , Jian-Ping Ma

We show that the hypothesis of abelian dominance allows QCD-monopoles to preserve the topological feature of the QCD vacuum within SU(2) lattice gauge theory. An analytical study is made to find the relationship between the topological…

High Energy Physics - Lattice · Physics 2009-10-31 Shoichi Sasaki , Osamu Miyamura

We investigate the masses of 0+ and 2+ glueballs in SU(2) lattice gauge theory using abelian projection to the maximum abelian gauge. We calculate glueball masses using both abelian links and monopole operators. Both methods reproduce the…

High Energy Physics - Lattice · Physics 2009-10-31 John D. Stack , Rafal Filipczyk

Linear lattice gauge theory is based on link variables that are arbitrary complex or real $N\times N$ matrices, in distinction to the usual (non-linear) formulation with unitary or orthogonal matrices. For a large region in parameter space…

High Energy Physics - Lattice · Physics 2015-06-16 C. Wetterich

We consider 2+1 dimensional compact U(1) gauge theory at the Lifshitz point with dynamical critical exponent $z=2$. As in the usual $z=1$ theory, monopoles proliferate the vacuum for any value of the coupling, generating a mass scale. The…

High Energy Physics - Theory · Physics 2010-05-25 Sumit R. Das , Ganpathy Murthy

This paper is dedicated to studying various aspects of topological defects, appearing in mean-field theory treatments of physical systems such as ultracold atomic gases and gauge field theories. We start by investigating topological charge…

Quantum Gases · Physics 2021-09-14 Toni Annala , Mikko Möttönen

We study the stability of Z_2 topological vortex excitations in d+1 dimensional SU(2) Yang-Mills theory on the lattice at T=0. This is found to depend on d and on the coupling considered. We discuss the connection with lattice artifacts…

High Energy Physics - Lattice · Physics 2008-11-26 G. Burgio

Using the embedded defect method, we classify the possible embeddings of a 't Hooft-Polyakov monopole in a general gauge theory. We then discuss some similarities with embedded vortices and relate our results to fundamental monopoles.

High Energy Physics - Theory · Physics 2017-08-23 Nathan F. Lepora

A simple explanation of the fact that light magnetic monopoles have not been observed at accelerator experiments is given. It is based on a possibility of violation of C invariance in the electromagnetic interactions. Because of the…

High Energy Physics - Phenomenology · Physics 2009-01-12 B. F. Kostenko , M. Z. Yuriev

We perform the first numerical simulations of necklaces in a non-Abelian gauge theory. Necklaces are composite classical solutions which can be interpreted as monopoles trapped on strings, rather generic structures in a Grand Unified…

Cosmology and Nongalactic Astrophysics · Physics 2017-04-04 Mark Hindmarsh , Kari Rummukainen , David J. Weir

We show that the extended Abelian magnetic monopoles in the Maximal Abelian projection of lattice SU(2) gluodynamics are locally correlated with the magnetic and the electric parts of the SU(2) action density. These correlations are…

High Energy Physics - Lattice · Physics 2009-10-31 B. L. G. Bakker , M. N. Chernodub , M. I. Polikarpov , A. I. Veselov

We formulate the theory of a 2-form gauge field on a Euclidean spacetime lattice. In this approach, the fundamental degrees of freedom live on the faces of the lattice, and the action can be constructed from the sum over Wilson surfaces…

High Energy Physics - Theory · Physics 2015-06-19 Arthur E. Lipstein , Ronald A. Reid-Edwards

Recently Anishetty, Majumdar and Sharatchandra have proposed a way of characterizing topologically non-trivial configurations for 2+1 dimensional Yang-Mills theory in a local and manifestly gauge invariant manner. In this paper paper we…

High Energy Physics - Lattice · Physics 2009-10-31 Pushan Majumdar , Dong-Shin Shin

The density of states is calculated for a SU(2) and a compact U(1) lattice gauge theory using a modified version of the Wang-Landau algorithm. We find that the density of states of the SU(2) gauge theory can be reliably calculated over a…

High Energy Physics - Lattice · Physics 2013-02-11 Kurt Langfeld , Biagio Lucini , Antonio Rago

Quantum systems in 3+1-dimensions that are invariant under gauging a one-form symmetry enjoy novel non-invertible duality symmetries encoded by topological defects. These symmetries are renormalization group invariants which constrain…

High Energy Physics - Theory · Physics 2023-08-02 Anuj Apte , Clay Cordova , Ho Tat Lam