Partially twisted boundary conditions in lattice simulations
Partially twisted boundary conditions in lattice simulations
We use chiral perturbation theory to investigate twisted and partially twisted boundary conditions which allow access to momenta other than integer multiples of 2π/L on a lattice with spatial volume L3. For K → ππ decays we show that the breaking of isospin symmetry by the twisted boundary conditions implies that the amplitudes cannot be determined in general. We find numerical evidence for the result that the finite volume effects of the boundary conditions are exponentially suppressed for quantities without final state interactions (meson masses and meson-to-vacuum matrix elements) in a simulation with partial twisting on a sea of Nf = 2 non-perturbatively improved Wilson quarks.
352-357
Flynn, Jonathan
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Juttner, Andreas
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Sachrajda, Christopher
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Villadoro, Giovanni
766952b5-8b88-4980-afb4-378fb70d946f
2006
Flynn, Jonathan
d8e90963-ba56-415c-bbd4-496b7d91d343
Juttner, Andreas
a90ff7c5-ae8f-4c8e-9679-b5a95b2a6247
Sachrajda, Christopher
0ed6568b-f52f-4314-8677-4aeeb925d6f7
Villadoro, Giovanni
766952b5-8b88-4980-afb4-378fb70d946f
Flynn, Jonathan, Juttner, Andreas, Sachrajda, Christopher and Villadoro, Giovanni
(2006)
Partially twisted boundary conditions in lattice simulations.
In Proceedings of Science (PoS) LAT2005.
Proceedings of Science.
.
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Conference or Workshop Item
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Abstract
We use chiral perturbation theory to investigate twisted and partially twisted boundary conditions which allow access to momenta other than integer multiples of 2π/L on a lattice with spatial volume L3. For K → ππ decays we show that the breaking of isospin symmetry by the twisted boundary conditions implies that the amplitudes cannot be determined in general. We find numerical evidence for the result that the finite volume effects of the boundary conditions are exponentially suppressed for quantities without final state interactions (meson masses and meson-to-vacuum matrix elements) in a simulation with partial twisting on a sea of Nf = 2 non-perturbatively improved Wilson quarks.
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Published date: 2006
Venue - Dates:
XXIIIrd International Symposium on Lattice Field Theory: Lattice 2005, Trinity College, Dublin, Ireland, 2005-07-25 - 2005-07-30
Identifiers
Local EPrints ID: 57238
URI: http://eprints.soton.ac.uk/id/eprint/57238
PURE UUID: f79c7244-2371-4826-b6ab-ee9c04c24f60
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Date deposited: 14 Aug 2008
Last modified: 12 Dec 2021 03:28
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Author:
Giovanni Villadoro
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