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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...
Autores principales: | , , |
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Lenguaje: | eng |
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1998
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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. |
id | cern-373671 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 1998 |
record_format | invenio |
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 |