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Computing Masses from Effective Transfer Matrices

We study the use of effective transfer matrices for the numerical computation of masses (or correlation lengths) in lattice spin models. The effective transfer matrix has a strongly reduced number of components. Its definition is motivated by a renormalization group transformation of the full model...

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Detalles Bibliográficos
Autores principales: Hasenbusch, M., Pinn, K., Rummukainen, K.
Lenguaje:eng
Publicado: 1994
Materias:
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.49.495
http://cds.cern.ch/record/248123
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author Hasenbusch, M.
Pinn, K.
Rummukainen, K.
author_facet Hasenbusch, M.
Pinn, K.
Rummukainen, K.
author_sort Hasenbusch, M.
collection CERN
description We study the use of effective transfer matrices for the numerical computation of masses (or correlation lengths) in lattice spin models. The effective transfer matrix has a strongly reduced number of components. Its definition is motivated by a renormalization group transformation of the full model onto a 1-dimensional spin model. The matrix elements of the effective transfer matrix can be determined by Monte Carlo simulation. We show that the mass gap can be recovered exactly from the spectrum of the effective transfer matrix. As a first step towards application we performed a Monte Carlo study for the 2-dimensional Ising model. For the simulations in the broken phase we employed a multimagnetical demon algorithm. The results for the tunnelling correlation length are particularly encouraging.
id cern-248123
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1994
record_format invenio
spelling cern-2481232023-03-14T17:11:03Zdoi:10.1103/PhysRevD.49.495http://cds.cern.ch/record/248123engHasenbusch, M.Pinn, K.Rummukainen, K.Computing Masses from Effective Transfer MatricesParticle Physics - LatticeWe study the use of effective transfer matrices for the numerical computation of masses (or correlation lengths) in lattice spin models. The effective transfer matrix has a strongly reduced number of components. Its definition is motivated by a renormalization group transformation of the full model onto a 1-dimensional spin model. The matrix elements of the effective transfer matrix can be determined by Monte Carlo simulation. We show that the mass gap can be recovered exactly from the spectrum of the effective transfer matrix. As a first step towards application we performed a Monte Carlo study for the 2-dimensional Ising model. For the simulations in the broken phase we employed a multimagnetical demon algorithm. The results for the tunnelling correlation length are particularly encouraging.We study the use of effective transfer matrices for the numerical computation of masses (or correlation lengths) in lattice spin models. The effective transfer matrix has a strongly reduced number of components. Its definition is motivated by a renormalization group transformation of the full model onto a 1-dimensional spin model. The matrix elements of the effective transfer matrix can be determined by Monte Carlo simulation. We show that the mass gap can be recovered exactly from the spectrum of the effective transfer matrix. As a first step towards application we performed a Monte Carlo study for the 2-dimensional Ising model. For the simulations in the broken phase we employed a multimagnetical demon algorithm. The results for the tunnelling correlation length are particularly encouraging.hep-lat/9304006CERN-TH-6844-93CERN-TH-6844-93oai:cds.cern.ch:2481231994
spellingShingle Particle Physics - Lattice
Hasenbusch, M.
Pinn, K.
Rummukainen, K.
Computing Masses from Effective Transfer Matrices
title Computing Masses from Effective Transfer Matrices
title_full Computing Masses from Effective Transfer Matrices
title_fullStr Computing Masses from Effective Transfer Matrices
title_full_unstemmed Computing Masses from Effective Transfer Matrices
title_short Computing Masses from Effective Transfer Matrices
title_sort computing masses from effective transfer matrices
topic Particle Physics - Lattice
url https://dx.doi.org/10.1103/PhysRevD.49.495
http://cds.cern.ch/record/248123
work_keys_str_mv AT hasenbuschm computingmassesfromeffectivetransfermatrices
AT pinnk computingmassesfromeffectivetransfermatrices
AT rummukainenk computingmassesfromeffectivetransfermatrices