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Related papers: Topological Structure of the SU(3) Vacuum

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We study the topological content of the vacuum of SU(2) pure gauge theory using lattice simulations. We use a smoothing process based on the renormalization group equation which removes short distance fluctuations but preserves long…

High Energy Physics - Lattice · Physics 2011-05-05 Thomas DeGrand , Anna Hasenfratz , Tamas G. Kovacs

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

We study the topological content of the vacuum of SU(2) pure gauge theory using lattice simulations. We use a smoothing process based on the renormalization group equation. This removes short distance fluctuations but preserves long…

High Energy Physics - Lattice · Physics 2009-10-30 Thomas DeGrand , Anna Hasenfratz , Tamas G. Kovacs

We study on the lattice the topology of SU(2) and SU(3) Yang-Mills theories at zero temperature and of QCD at temperatures around the phase transition. To smooth out dislocations and the UV noise we cool the configurations with an action…

High Energy Physics - Lattice · Physics 2009-09-25 Philippe de Forcrand , Margarita Garcia Perez , James E. Hetrick , Ion-Olimpiu Stamatescu

We study the topological content of the SU(3) vacuum using a method based on RG mapping developed for SU(2) gauge theory earlier. RG mapping, in which a series of APE-smearing steps is done while tracking the observables, reduces the short…

High Energy Physics - Lattice · Physics 2009-10-31 A. Hasenfratz , C. Nieter

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

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

The large volume behaviour of the topological susceptibility in SU(3) gauge theory is investigated on the lattice to establish an upper limit on the parity violating terms.

High Energy Physics - Lattice · Physics 2008-11-26 B. Alles , M. D'Elia , A. Di Giacomo

We calculate the topological charge density of SU(N) lattice gauge fields for values of N up to N=8. Our T=0 topological susceptibility appears to approach a finite non-zero limit at N=infinity that is consistent with earlier extrapolations…

High Energy Physics - Lattice · Physics 2009-11-10 Biagio Lucini , Michael Teper , Urs Wenger

We investigate SU(2) gauge fields topology using new approach, which exploits the well known connection between SU(2) gauge theory and quaternionic projective sigma-models and allows to formulate the topological charge density entirely in…

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

The topological charge is studied on lattices of large physical volume and fine lattice spacing. We illustrate how a parity transformation on the SU(3) link-variables of lattice gauge configurations reverses the sign of the topological…

High Energy Physics - Lattice · Physics 2010-03-04 Derek B. Leinweber , Anthony G. Williams , Jian-bo Zhang , Frank X. Lee

We investigate the {\it topography\/} of the \o3 vacuum after various degrees of under-relaxed cooling, using the na\"{\i}ve action density and geometric and field theoretical definitions of the topological charge density. The results are…

High Energy Physics - Lattice · Physics 2007-05-23 P. S. Spencer , C. Michael

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 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

Using Monte Carlo simulations with overrelaxation, we have equilibrated lattices up to $\beta=2.928$, size $60^4$, for pure SU(2) lattice gauge theory with the Wilson action. We calculate topological charges with the standard cooling method…

High Energy Physics - Lattice · Physics 2019-03-06 Bernd A. Berg , David A. Clarke

Through a detailed investigation of the $SU(3)$ gauge theory at finite temperature on lattices of various size we can control finite lattice cut-off effects in bulk thermodynamic quantities. We calculate the pressure and energy density of…

High Energy Physics - Lattice · Physics 2009-10-28 G. Boyd , J. Engels , F. Karsch , E. Laermann , C. Legeland , M. Lütgemeier , B. Petersson

Recently, we have pointed out that sign-coherent 4-dimensional structures can not dominate topological charge fluctuations in QCD vacuum at all scales. Here we show that an enhanced lower-dimensional coherence is possible. In pure SU(3)…

High Energy Physics - Lattice · Physics 2017-08-23 I. Horvath , S. J. Dong , T. Draper , K. F. Liu , N. Mathur , F. X. Lee , H. B. Thacker , J. B. Zhang

We present the equation of state (pressure, trace anomaly, energy density and entropy density) of the SU(3) gauge theory from lattice field theory in an unprecedented precision and temperature range. We control both finite size and cut-off…

High Energy Physics - Phenomenology · Physics 2011-04-04 Sz. Borsanyi , G. Endrodi , Z. Fodor , S. D. Katz , K. K. Szabo

We determine the topological susceptibility in the SU(3) pure gauge theory. We perform a series of high-statistics lattice studies and take the combined continuum and infinite volume limit. We find chi_{top}r_0^4=0.0524(7)(6) which…

High Energy Physics - Lattice · Physics 2010-10-27 Stephan Durr , Zoltan Fodor , Christian Hoelbling , Thorsten Kurth

We present a high-precision study of the topological susceptibility in $SU(3)$ pure gauge theory in four space-time dimensions. The result is based on ensembles at seven lattice spacings and in seven physical volumes to facilitate a…

High Energy Physics - Lattice · Physics 2026-04-17 Stephan Durr , Gianluca Fuwa
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