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Cooling, Physical Scales and Topology

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 lattice gauge theories, in particular the behavior of insta...

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Autores principales: Garcia Perez, Margarita, Philipsen, Owe, Stamatescu, Ion-Olimpiu
Lenguaje:eng
Publicado: 1998
Materias:
Acceso en línea:https://dx.doi.org/10.1016/S0550-3213(99)00211-4
http://cds.cern.ch/record/373671
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author Garcia Perez, Margarita
Philipsen, Owe
Stamatescu, Ion-Olimpiu
author_facet Garcia Perez, Margarita
Philipsen, Owe
Stamatescu, Ion-Olimpiu
author_sort Garcia Perez, Margarita
collection CERN
description 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 lattice gauge theories, in particular the behavior of instantons, dislocations and instanton - anti-instanton pairs. Monte Carlo results for the SU(2) topology are presented. We find that the method provides a means to prevent instanton anti-instanton annihilation under cooling. While the instanton sizes are largely independent from the smoothing scale, the density and pair separations are determined by the particular choice made for this quantity. We discuss the questions this raises for the "physicality" of these concepts.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1998
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spelling cern-3736712023-03-14T18:08:01Zdoi:10.1016/S0550-3213(99)00211-4http://cds.cern.ch/record/373671engGarcia Perez, MargaritaPhilipsen, OweStamatescu, Ion-OlimpiuCooling, Physical Scales and TopologyParticle Physics - LatticeWe 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 lattice gauge theories, in particular the behavior of instantons, dislocations and instanton - anti-instanton pairs. Monte Carlo results for the SU(2) topology are presented. We find that the method provides a means to prevent instanton anti-instanton annihilation under cooling. While the instanton sizes are largely independent from the smoothing scale, the density and pair separations are determined by the particular choice made for this quantity. We discuss the questions this raises for the "physicality" of these concepts.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 lattice gauge theories, in particular the behaviour of instantons, dislocations and instanton--anti-instanton pairs. Monte Carlo results for the SU(2) topology are presented. We find that the method provides a means to prevent instanton--anti-instanton annihilation under cooling. While the instanton sizes are largely independent from the smoothing scale, the density and pair separations are determined by the particular choice made for this quantity. We discuss the questions this raises for the "physicality" of these concepts.hep-lat/9812006CERN-TH-98-380HD-THEP-98-60FTUAM-98-26CERN-TH-98-380HD-THEP-98-60FTUAM-98-26oai:cds.cern.ch:3736711998-12-08
spellingShingle Particle Physics - Lattice
Garcia Perez, Margarita
Philipsen, Owe
Stamatescu, Ion-Olimpiu
Cooling, Physical Scales and Topology
title Cooling, Physical Scales and Topology
title_full Cooling, Physical Scales and Topology
title_fullStr Cooling, Physical Scales and Topology
title_full_unstemmed Cooling, Physical Scales and Topology
title_short Cooling, Physical Scales and Topology
title_sort cooling, physical scales and topology
topic Particle Physics - Lattice
url https://dx.doi.org/10.1016/S0550-3213(99)00211-4
http://cds.cern.ch/record/373671
work_keys_str_mv AT garciaperezmargarita coolingphysicalscalesandtopology
AT philipsenowe coolingphysicalscalesandtopology
AT stamatescuionolimpiu coolingphysicalscalesandtopology