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A numerical study of partially twisted boundary conditions

A numerical study of partially twisted boundary conditions
A numerical study of partially twisted boundary conditions
We investigate the use of partially twisted boundary conditions in a lattice simulation with two degenerate flavours of improved Wilson sea quarks. The use of twisted boundary conditions on a cubic volume (L3) gives access to components of hadronic momenta other than integer multiples of 2π/L. Partial twisting avoids the need for new gluon configurations for every choice of momentum, while, as recently demonstrated, keeping the finite-volume errors exponentially small for the physical quantities investigated in this letter. In this study we focus on the spectrum of pseudo scalar and vector mesons, on their leptonic decay constants and on ZP, the matrix element of the pseudo scalar density between the pseudo scalar meson and the vacuum. The results confirm the momentum shift imposed by these boundary conditions and in addition demonstrate that they do not introduce any appreciable noise. We therefore advocate the use of partially twisted boundary conditions in applications where good momentum resolution is necessary.
0370-2693
313-318
Flynn, J.M.
d8e90963-ba56-415c-bbd4-496b7d91d343
Juettner, A.
bb16b707-6135-4c9b-a6cb-1252a5eb77bd
Sachrajda, C.T.
0ed6568b-f52f-4314-8677-4aeeb925d6f7
UKQCD Collaboration
Flynn, J.M.
d8e90963-ba56-415c-bbd4-496b7d91d343
Juettner, A.
bb16b707-6135-4c9b-a6cb-1252a5eb77bd
Sachrajda, C.T.
0ed6568b-f52f-4314-8677-4aeeb925d6f7

Flynn, J.M., Juettner, A. and Sachrajda, C.T. , UKQCD Collaboration (2006) A numerical study of partially twisted boundary conditions. Physics Letters B, 632 (2-3), 313-318. (doi:10.1016/j.physletb.2005.10.042).

Record type: Article

Abstract

We investigate the use of partially twisted boundary conditions in a lattice simulation with two degenerate flavours of improved Wilson sea quarks. The use of twisted boundary conditions on a cubic volume (L3) gives access to components of hadronic momenta other than integer multiples of 2π/L. Partial twisting avoids the need for new gluon configurations for every choice of momentum, while, as recently demonstrated, keeping the finite-volume errors exponentially small for the physical quantities investigated in this letter. In this study we focus on the spectrum of pseudo scalar and vector mesons, on their leptonic decay constants and on ZP, the matrix element of the pseudo scalar density between the pseudo scalar meson and the vacuum. The results confirm the momentum shift imposed by these boundary conditions and in addition demonstrate that they do not introduce any appreciable noise. We therefore advocate the use of partially twisted boundary conditions in applications where good momentum resolution is necessary.

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Published date: 2006

Identifiers

Local EPrints ID: 26770
URI: https://eprints.soton.ac.uk/id/eprint/26770
ISSN: 0370-2693
PURE UUID: 3682f1fd-6bcf-43ee-912e-58776ac4fba8
ORCID for J.M. Flynn: ORCID iD orcid.org/0000-0002-6280-1677

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Date deposited: 12 Apr 2006
Last modified: 15 Aug 2019 00:55

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