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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 study the effect of cooling on the spatial distribution of the topological charge density in quenched SU(2) lattice gauge theory with overlap fermions. We show that as the gauge field configurations are cooled, the Hausdorff dimension of…

High Energy Physics - Lattice · Physics 2015-03-13 P. V. Buividovich , T. Kalaydzhyan , M. I. Polikarpov

We revisit old ideas that smearing or blocking an SU(N) lattice gauge field, or averaging over an ensemble of fields created in the neighbourhood of that field, can reduce the high frequency fluctuations sufficiently that the naive lattice…

High Energy Physics - Lattice · Physics 2022-02-08 Michael Teper

Recent lattice measurements of the topological susceptibility of SU(2) gauge theory using improved cooling and inverse-blocking are in disagreement. We use the overlap method, which probes the fermionic sector of the theory directly, to…

High Energy Physics - Lattice · Physics 2009-10-30 Rajamani Narayanan , Robert L. Singleton

The bulk distribution of the topological charge density, constructed via HP^1 sigma-model embedding method, is investigated. We argue that the specific pattern of leading power corrections to gluon condensate hints on a particular UV…

High Energy Physics - Lattice · Physics 2009-11-11 P. Yu. Boyko , F. V. Gubarev

We extend the definition of L\"uscher's lattice topological charge to the case of $4$d $SU(N)$ gauge fields coupled with $\mathbb{Z}_N$ $2$-form gauge fields. This result is achieved while maintaining the locality, the $SU(N)$ gauge…

High Energy Physics - Lattice · Physics 2023-08-24 Motokazu Abe , Okuto Morikawa , Soma Onoda , Hiroshi Suzuki , Yuya Tanizaki

We investigate the topological structure of the vacuum in SU(3) lattice gauge theory. We use under-relaxed cooling to remove the high-frequency fluctuations and a variety of "filters" to identify the topological charges in the resulting…

High Energy Physics - Lattice · Physics 2016-08-25 Douglas A. Smith , Michael J. Teper

We analyze topological charge contributions from classical SU(2) center vortices with shapes of planes and spheres using different topological charge definitions, namely the center vortex picture of topological charge, a discrete version of…

High Energy Physics - Lattice · Physics 2013-05-30 R. Höllwieser , M. Faber , U. M. Heller

We investigate recently proposed HP1 sigma-model embedding method aimed to study the topology of SU(2) gauge fields. The HP1 based topological charge is shown to be fairly compatible with various known definitions. We study the…

High Energy Physics - Lattice · Physics 2009-11-11 P. Yu. Boyko , F. V. Gubarev , S. M. Morozov

While sign-coherent 4-dimensional structures cannot dominate topological charge fluctuations in the QCD vacuum at all scales due to reflection positivity, it is possible that enhanced coherence exists over extended space-time regions of…

High Energy Physics - Lattice · Physics 2008-11-26 I. Horvath , S. J. Dong , T. Draper , F. X. Lee , K. F. Liu , N. Mathur , H. B. Thacker , J. B. Zhang

Overlap fermions, which preserve exact chiral symmetry on the lattice, provide a powerful tool for investigating the topological structure of the vacuum. Applying this formulation to zero-temperature quenched SU(3) configurations generated…

High Energy Physics - Lattice · Physics 2007-05-23 Y. Koma , E. -M. Ilgenfritz , K. Koller , G. Schierholz , T. Streuer , V. Weinberg

A new technique is proposed to classify a topological field in abelian lattice gauge theories. We perform the classification by regarding the topological field as a local composite field of the gauge field tensor instead of the vector…

High Energy Physics - Lattice · Physics 2007-05-23 Daisuke Kadoh , Yoshio Kikukawa

We analyze topological objects in pure gluonic $SU(2)$ lattice gauge theory and compute correlation functions between instantons and monopoles. Concerning the instantons we use geometric and field theoretic definitions of the topological…

High Energy Physics - Lattice · Physics 2009-10-28 M. Feurstein , H. Markum , St. Thurner

We study nonequilibrium dynamics of SU(2) lattice gauge theory in Minkowski space-time in a classical-statistical regime, where characteristic gluon occupancies are much larger than unity. In this strongly correlated system far from…

High Energy Physics - Phenomenology · Physics 2023-12-06 Daniel Spitz , Kirill Boguslavski , Jürgen Berges

We examine the problem of gauge-field localization in higher-dimensional gauge theories. In particular, we study a five-dimensional U(1) by lattice techniques and we find that gauge fields can indeed be localized. Two models are considered.…

High Energy Physics - Theory · Physics 2009-10-31 P. Dimopoulos , K. Farakos , A. Kehagias , G. Koutsoumbas

We study the spatial correlator of the topological charge density operator in pure SU(3) gauge theory and in two flavor QCD. We show that the data for distances up to about 1 fm is consistent with a vacuum consisting of individual…

High Energy Physics - Lattice · Physics 2009-10-31 Anna Hasenfratz

We study some of the local CP-odd and magnetic properties of the non-Abelian vacuum with use of overlap fermions within the quenched lattice gauge theory. Among these properties are the following: inhomogeneous spatial distribution of the…

High Energy Physics - Lattice · Physics 2013-03-01 V. V. Braguta , P. V. Buividovich , T. Kalaydzhyan , M. I. Polikarpov

Monte Carlo studies of pure glue SU(3) gauge theory using the overlap-based topological charge operator have revealed a laminar structure in the QCD vacuum consisting of extended, thin, coherent, locally 3-dimensional sheets of topological…

High Energy Physics - Theory · Physics 2008-11-26 H. B. Thacker

In two dimensions, $U(N_c)$ gauge theories exhibit a non-trivial topological structure, while $SU(N_c)$ theories are topologically trivial. Hence, for $G = U(N_c)$ the phase space is divided into topological sectors, characterized by a…

High Energy Physics - Lattice · Physics 2024-11-19 Stephan Durr , Philip Rouenhoff

We study the topological structure of the SU(2) vacuum at zero temperature: topological susceptibility, size, shape and distance distributions of the instantons. We use a cooling algorithm based on an improved action with scale invariant…

High Energy Physics - Lattice · Physics 2009-10-30 Philippe de Forcrand , Margarita Garcia Perez , Ion-Olimpiu Stamatescu
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