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Related papers: Instanton Content of the SU(3) Vacuum

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We study the topological content of the SU(3) vacuum using the renormalization group (RG) mapping method. RG mapping is a simple smoothing algorithm, in which a series of APE-smearing steps are done while the topological content of the…

High Energy Physics - Lattice · Physics 2009-10-31 Anna Hasenfratz , Chet Nieter

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 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 study topological properties of SU(3) gauge theory using improved cooling. In the absence of fermions, we measure a topological susceptibility of $(182(8) MeV)^4$ and an instanton size $\sim 0.6$ fm. In the presence of light staggered…

High Energy Physics - Lattice · Physics 2016-09-01 Ph. de Forcrand , M. Garcia Perez , J. E. Hetrick , I. -O. 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 which removes short distance fluctuations but preserves long…

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

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 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 present a study of the instanton size and spatial distributions in pure SU(3) gauge theory using under-relaxed cooling. We also investigate the low-lying eigenmodes of the (improved) Wilson-Dirac operator, in particular, the appearance…

High Energy Physics - Lattice · Physics 2009-10-30 D. Smith , H. Simma , M. Teper

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

Topological charge susceptibility $\chi_{t}$ for pure gauge SU(3) theory at finite temperature is studied using anisotropic lattices. The over-improved stout-link smoothing method is utilized to calculate the topological charge. Near the…

High Energy Physics - Lattice · Physics 2015-11-11 Guang-Yi Xiong , Jian-Bo Zhang , Ying Chen , Chuan Liu , Yu-Bin Liu , Jian-Ping Ma

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

This talk is a review of our studies of instantons and their properties as seen in our lattice simulations of SU(2) gauge theory. We have measured the topological susceptibility and the size distribution of instantons in the QCD vacuum. We…

High Energy Physics - Lattice · Physics 2016-09-01 T. DeGrand , Anna Hasenfratz , Tamas Kovacs

We develop a cooling method controlled by a physical cooling radius that defines a scale below which fluctuations are smoothed out while leaving physics unchanged at all larger scales. We apply this method to study topological properties of…

High Energy Physics - Lattice · Physics 2010-12-14 Margarita Garcia Perez , Owe Philipsen , Ion Olimpiu Stamatescu

We describe the properties of instantons in lattice gauge theory when the action is a fixed point action of some renormalization group transformation. We present a theoretically consistent method for measuring topological charge using an…

High Energy Physics - Lattice · Physics 2008-11-26 Thomas DeGrand , Anna Hasenfratz , Decai Zhu

The topological susceptibility of the SU(3) pure gauge theory is calculated in the deconfined phase at temperatures up to $10T_c$. At such large temperatures the susceptibility is suppressed, topologically non-trivial configurations are…

High Energy Physics - Lattice · Physics 2021-02-26 Szablocs Borsanyi , Dénes Sexty

We compute the topological susceptibility for the SU(3) Yang--Mills theory by employing the expression of the topological charge density operator suggested by Neuberger's fermions. In the continuum limit we find r_0^4 chi = 0.059(3), which…

High Energy Physics - Theory · Physics 2009-11-10 Luigi Del Debbio , Leonardo Giusti , Claudio Pica

We present results of an investigation into the nature of instantons in 4-dimensional pure gauge lattice $SU(2)$\ obtained from configurations which have been cooled using an under-relaxed cooling algorithm. We discuss ways of calibrating…

High Energy Physics - Lattice · Physics 2016-09-01 C. Michael , P. S. Spencer

We perform a lattice study of the topological susceptibility and instanton size distribution of the $\su{2}$ gauge theory with two adjoint Dirac fermions (also known as Minimal Walking Technicolor), which is known to be in the conformal…

High Energy Physics - Lattice · Physics 2013-05-13 Ed Bennett , Biagio Lucini

We calculate the topological susceptibility of the Yang-Mills vacuum using the field correlator method. Our estimate for the SU(3) gauge group, \chi^{1/4} = 196(7) MeV, is in a very good agreement with the results of recent numerical…

High Energy Physics - Phenomenology · Physics 2011-07-19 M. N. Chernodub , I. E. Kozlov

The continued development of models that propose the existence of fractional topological objects in the Yang-Mills vacuum has called for a quantitative method to study the topological structure of $\mathrm{SU}(N)$ gauge theory. We present…

High Energy Physics - Lattice · Physics 2024-05-21 Jackson A. Mickley , Waseem Kamleh , Derek B. Leinweber
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