Properties and uses of the Wilson flow in lattice QCD

Theoretical and numerical studies of the Wilson flow in lattice QCD suggest that the gauge field obtained at flow time t>0 is a smooth renormalized field. The expectation values of local gauge-invariant expressions in this field are thus well-defined physical quantities that probe the theory at l...

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Autor principal: Lüscher, Martin
Lenguaje:eng
Publicado: 2010
Materias:
Particle Physics - Lattice
Acceso en línea:https://dx.doi.org/10.1007/JHEP08(2010)071
https://dx.doi.org/10.1007/JHEP03(2014)092
http://cds.cern.ch/record/1273895
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author Lüscher, Martin
author_facet Lüscher, Martin
author_sort Lüscher, Martin
collection CERN
description Theoretical and numerical studies of the Wilson flow in lattice QCD suggest that the gauge field obtained at flow time t>0 is a smooth renormalized field. The expectation values of local gauge-invariant expressions in this field are thus well-defined physical quantities that probe the theory at length scales on the order of sqrt(t). Moreover, by transforming the QCD functional integral to an integral over the gauge field at a specified flow time, the emergence of the topological (instanton) sectors in the continuum limit becomes transparent and is seen to be caused by a dynamical effect that rapidly separates the sectors when the lattice spacing is reduced from 0.1 fm to smaller values.
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spelling cern-12738952023-03-12T05:24:21Zdoi:10.1007/JHEP08(2010)071doi:10.1007/JHEP03(2014)092http://cds.cern.ch/record/1273895engLüscher, MartinProperties and uses of the Wilson flow in lattice QCDParticle Physics - LatticeTheoretical and numerical studies of the Wilson flow in lattice QCD suggest that the gauge field obtained at flow time t>0 is a smooth renormalized field. The expectation values of local gauge-invariant expressions in this field are thus well-defined physical quantities that probe the theory at length scales on the order of sqrt(t). Moreover, by transforming the QCD functional integral to an integral over the gauge field at a specified flow time, the emergence of the topological (instanton) sectors in the continuum limit becomes transparent and is seen to be caused by a dynamical effect that rapidly separates the sectors when the lattice spacing is reduced from 0.1 fm to smaller values.Theoretical and numerical studies of the Wilson flow in lattice QCD suggest that the gauge field obtained at flow time t>0 is a smooth renormalized field. The expectation values of local gauge-invariant expressions in this field are thus well-defined physical quantities that probe the theory at length scales on the order of sqrt(t). Moreover, by transforming the QCD functional integral to an integral over the gauge field at a specified flow time, the emergence of the topological (instanton) sectors in the continuum limit becomes transparent and is seen to be caused by a dynamical effect that rapidly separates the sectors when the lattice spacing is reduced from 0.1 fm to smaller values.arXiv:1006.4518CERN-PH-TH-2010-143CERN-PH-TH-2010-143oai:cds.cern.ch:12738952010-06-24
spellingShingle Particle Physics - Lattice
Lüscher, Martin
Properties and uses of the Wilson flow in lattice QCD
title Properties and uses of the Wilson flow in lattice QCD
title_full Properties and uses of the Wilson flow in lattice QCD
title_fullStr Properties and uses of the Wilson flow in lattice QCD
title_full_unstemmed Properties and uses of the Wilson flow in lattice QCD
title_short Properties and uses of the Wilson flow in lattice QCD
title_sort properties and uses of the wilson flow in lattice qcd
topic Particle Physics - Lattice
url https://dx.doi.org/10.1007/JHEP08(2010)071
https://dx.doi.org/10.1007/JHEP03(2014)092
http://cds.cern.ch/record/1273895
work_keys_str_mv AT luschermartin propertiesandusesofthewilsonflowinlatticeqcd

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