New simulation strategies for lattice gauge theory

Endres, Michael G.

doi:10.22323/1.256.0014

Cited by 4 publications

(3 citation statements)

References 29 publications

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“…Our simulation on fine lattices may suffer from the topological freezing[24]. However, from the analysis with the gauge configurations used for the scale setting in[20], we have checked that the dependence of E(t, x) on the topological sector is less than 1% on 64 4 lattice at β = 6.88.…”

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confidence: 99%

Distribution of stress tensor around static quark–anti-quark from Yang–Mills gradient flow

et al. 2019

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The spatial distribution of the stress tensor around the quark-anti-quark (QQ) pair in SU(3) lattice gauge theory is studied. The Yang-Mills gradient flow plays a crucial role to make the stress tensor well-defined and derivable from the numerical simulations on the lattice. The resultant stress tensor with a decomposition into local principal axes shows, for the first time, the detailed structure of the flux tube along the longitudinal and transverse directions in a gauge invariant manner. The linear confining behavior of the QQ potential at long distances is derived directly from the integral of the local stress tensor.

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confidence: 99%

Distribution of stress tensor around static quark–anti-quark from Yang–Mills gradient flow

et al. 2019

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“…The fact that the FP equations define a scheme to match coarse and fine lattice configurations could also be useful in recent attempts to delay the onset of topological critical slowing down in today's lattice QCD simulations by constructing multi-scale Monte-Carlo update algorithms. One effort in this direction [24,25], in which the FP action approach could be very useful, is in fact discussed in a plenary talk at this conference [26].…”

Section: The Renormalization Group and Fp Actionsmentioning

confidence: 99%

From Spin Models to Lattice QCD – the Scientific Legacy of Peter Hasenfratz

Wenger¹

2017

Proceedings of 34th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2016)

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This is a transcript of my conference talk in remembrance of Peter Hasenfratz who deceased earlier in 2016. One of Peter's many important contributions to the lattice community has been the initiation of the first lattice conference at CERN in 1982. From among his many important ideas, which Peter contributed to our field, I choose to discuss three in some detail and show how they are influencing the subject today.

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“…A variety of approaches to handle this problem is reviewed in Ref. [7]. One strategy aims at extracting physical observables even from a Markov chain which is entirely trapped in a single topological sector.…”

Section: Introductionmentioning

confidence: 99%

Topological Susceptibility under Gradient Flow

et al. 2018

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Abstract. We study the impact of the Gradient Flow on the topology in various models of lattice field theory. The topological susceptibility χ t is measured directly, and by the slab method, which is based on the topological content of sub-volumes ("slabs") and estimates χ t even when the system remains trapped in a fixed topological sector. The results obtained by both methods are essentially consistent, but the impact of the Gradient Flow on the characteristic quantity of the slab method seems to be different in 2-flavour QCD and in the 2d O(3) model. In the latter model, we further address the question whether or not the Gradient Flow leads to a finite continuum limit of the topological susceptibility (rescaled by the correlation length squared, ξ 2 ). This ongoing study is based on direct measurements of χ t in L × L lattices, at L/ξ 6.

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New simulation strategies for lattice gauge theory

Cited by 4 publications

References 29 publications

Distribution of stress tensor around static quark–anti-quark from Yang–Mills gradient flow

Distribution of stress tensor around static quark–anti-quark from Yang–Mills gradient flow

From Spin Models to Lattice QCD – the Scientific Legacy of Peter Hasenfratz

Topological Susceptibility under Gradient Flow

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