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Finite-volume effects for two-hadron states in moving frames

Finite-volume effects for two-hadron states in moving frames
Finite-volume effects for two-hadron states in moving frames
We determine the finite-volume corrections to the spectrum and matrix elements of two-hadron states in a moving frame, i.e., one in which the total momentum of the two hadrons is non-zero. The analysis is performed entirely within field theory and the results are accurate up to exponential corrections in the volume. Our results for the spectrum are equivalent to those of Rummukainen and Gottlieb which had been obtained using a relativistic quantum mechanical approach. A technical step in our analysis is a simple derivation of the summation formulae relating the loop summations over the momenta of the two hadrons in finite volume to the corresponding integrals in infinite volume.
0920-5632
218-243
Kim, C.H.
c839cda1-7215-40e4-9c28-37cd197cd423
Sachrajda, C.T.
0ed6568b-f52f-4314-8677-4aeeb925d6f7
Sharpe, Stephen R.
937de768-c790-498c-b8a8-88028cdbda1a
Kim, C.H.
c839cda1-7215-40e4-9c28-37cd197cd423
Sachrajda, C.T.
0ed6568b-f52f-4314-8677-4aeeb925d6f7
Sharpe, Stephen R.
937de768-c790-498c-b8a8-88028cdbda1a

Kim, C.H., Sachrajda, C.T. and Sharpe, Stephen R. (2005) Finite-volume effects for two-hadron states in moving frames. Nuclear Physics B - Proceedings Supplements, 727 (1-2), 218-243. (doi:10.1016/j.nuclphysb.2005.08.029).

Record type: Article

Abstract

We determine the finite-volume corrections to the spectrum and matrix elements of two-hadron states in a moving frame, i.e., one in which the total momentum of the two hadrons is non-zero. The analysis is performed entirely within field theory and the results are accurate up to exponential corrections in the volume. Our results for the spectrum are equivalent to those of Rummukainen and Gottlieb which had been obtained using a relativistic quantum mechanical approach. A technical step in our analysis is a simple derivation of the summation formulae relating the loop summations over the momenta of the two hadrons in finite volume to the corresponding integrals in infinite volume.

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More information

Published date: 31 October 2005

Identifiers

Local EPrints ID: 57354
URI: http://eprints.soton.ac.uk/id/eprint/57354
ISSN: 0920-5632
PURE UUID: 0b6e0b98-688e-4ec1-96d6-530cb8bb11f6

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Date deposited: 13 Aug 2008
Last modified: 25 Nov 2021 22:21

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Contributors

Author: C.H. Kim
Author: C.T. Sachrajda
Author: Stephen R. Sharpe

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