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Related papers: Topological Structure in the SU(2) Vacuum

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We discuss a class of saddle-point configurations in SU(2) lattice gauge theory in three Euclidean dimensions. These configurations are smooth on the scale of the lattice and have an action density exhibiting localized peaks, as has been…

High Energy Physics - Lattice · Physics 2016-11-03 Robert D. Mawhinney

We summarize our recent work on the construction and properties of fixed point (FP) actions for lattice $SU(3)$ pure gauge theory. These actions have scale invariant instanton solutions and their spectrum is exact through 1--loop, i.e. in…

High Energy Physics - Lattice · Physics 2009-10-28 T. DeGrand , A. Hasenfratz , P. Hasenfratz , F. Niedermayer

We consider gauged Wess-Zumino models based on the non compact group $SU(2,1)$. It is shown that by vector gauging the maximal compact subgroup $U(2)$ the resulting backgrounds obey the gravity-dilaton one loop string vacuum equations of…

High Energy Physics - Theory · Physics 2009-10-28 Adriá n R. Lugo

We study the role of small-size instantons in the determination of the topological susceptibility of the 2-d $O(3) \: \sigma $ model on the lattice. In particular, we analyze how they affect the non-perturbative determination, by Monte…

High Energy Physics - Lattice · Physics 2011-07-19 F. Farchioni , A. Papa

We briefly report on the contribution of QCD-instantons to the phenomenon of saturation in deep-inelastic scattering (DIS) at small Bjorken-x. The explicitly known instanton gauge field serves as a concrete realization of an underlying…

High Energy Physics - Phenomenology · Physics 2017-08-23 F. Schrempp , A. Utermann

We generate a random instanton vacuum with various densities and size distributions. We perform numerically the maximally abelian gauge fixing of these configurations in order to find monopole trajectories induced by instantons. We find…

High Energy Physics - Lattice · Physics 2019-08-15 Masahiro Fukushima , Shoichi Sasaki , Hideo Suganuma , Atsunori Tanaka , Hiroshi Toki , Dmitri Diakonov

We test a new parametrization of a suitably truncated classically perfect action for SU(2) pure gauge theory with respect to self-consistency and locate the deconfinement transition on a 12^3X4 lattice. Using the technique of smoothing…

High Energy Physics - Lattice · Physics 2009-10-31 E. -M. Ilgenfritz , H. Markum , M. Müller-Preussker , S. Thurner

We present the first measurement of the vortex free-energy order parameter at weak coupling for SU(2) in simulations employing multihistogram methods. The result shows that the excitation probability for a sufficiently thick vortex in the…

High Energy Physics - Lattice · Physics 2009-10-31 T. G. Kovacs , E. T. Tomboulis

The large N limit of SU(N) gauge theories in 3+1 dimensions is investigated on the lattice by extrapolating results obtained for $2 \le N \le 5$. A numerical determination of the masses of the lowest-lying glueball states and of the…

High Energy Physics - Lattice · Physics 2015-06-25 B. Lucini , M. Teper

Anomalous quantisation of instantons allows non-trivial (anti) self-dual configurations to exist for pure U(2) gauge theory in four-dimensional Euclidean space-time and to be used as ground state of the model. Six left fermions together…

High Energy Physics - Theory · Physics 2009-06-15 M. N. Stoilov

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

At fine lattice spacings, lattice simulations are plagued by slow (topological) modes that give rise to large autocorrelation times. These, in turn, lead to statistical and systematic errors that are difficult to estimate. We study the…

High Energy Physics - Lattice · Physics 2025-03-14 Timo Eichhorn , Christian Hoelbling , Philip Rouenhoff , Lukas Varnhorst

In this paper (the second of a series) we extend our calculation of a classical fixed point action for lattice $SU(3)$ pure gauge theory to include gauge configurations with large fluctuations. The action is parameterized in terms of closed…

High Energy Physics - Lattice · Physics 2009-10-28 T. DeGrand , A. Hasenfratz , P. Hasenfratz , F. Niedermayer

The random percolation model can be viewed as the dual of a well defined confining gauge theory; since this theory, having no Monte Carlo dynamics at all, is simple to simulate, it is possible to study the properties of the flux tube with…

High Energy Physics - Lattice · Physics 2009-04-14 Pietro Giudice , Ferdinando Gliozzi , Stefano Lottini

We describe and test a nonperturbatively improved single-plaquette lattice action for 4-d SU(2) and SU(3) pure gauge theory, which suppresses large fluctuations of the plaquette, without requiring the naive continuum limit for smooth…

High Energy Physics - Lattice · Physics 2016-04-20 Debasish Banerjee , Michael Bögli , Kieran Holland , Ferenc Niedermayer , Michele Pepe , Urs Wenger , Uwe-Jens Wiese

The anomalous scaling behavior of the topological susceptibility $\chi_t$ in two-dimensional $CP^{N-1}$ sigma models for $N\leq 3$ is studied using the overlap Dirac operator construction of the lattice topological charge density. The…

High Energy Physics - Lattice · Physics 2008-11-26 Yaogang Lian , H. B. Thacker

On an oriented, compact, connected, real four-dimensional manifold, $M$, we introduce a topological Lagrangian gauge field theory with a Bogomol'nyi structure that leads to non-singular, finite-Action, stable solutions to the variational…

High Energy Physics - Theory · Physics 2008-02-03 M. Temple-Raston

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

SU(2) gauge theory is investigated with a lattice action which is insensitive to small perturbations of the lattice gauge fields. Bare perturbation theory can not be defined for such actions at all. We compare non-perturbative continuum…

High Energy Physics - Lattice · Physics 2018-08-29 Daniel Nogradi , Lorinc Szikszai , Zoltan Varga

We report measurements of the action associated with center vortices in SU(2) pure lattice gauge theory. In the lattice units the excess of the action on the plaquettes belonging to the vortex is approximately a constant, independent on the…

High Energy Physics - Lattice · Physics 2015-06-25 F. V. Gubarev , A. V. Kovalenko , M. I. Polikarpov , S. N. Syritsyn , V. I. Zakharov