Finite volume treatment of pi pi scattering and limits to phase shifts extraction from lattice QCD
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Finite volume treatment of pi pi scattering and limits to phase shifts extraction from lattice QCD

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Finite volume treatment of pi pi scattering and limits to phase shifts extraction from lattice QCD

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dc.contributor.author Albaladejo Serrano, Miguel
dc.contributor.author Oller Berber, José Antonio
dc.contributor.author Oset Báguena, Eulogio
dc.contributor.author Ríos, G.
dc.contributor.author Roca Zamora, Luis
dc.date.accessioned 2014-05-26T10:50:08Z
dc.date.available 2014-05-26T10:50:08Z
dc.date.issued 2012
dc.identifier.uri http://dx.doi.org/10.1007/JHEP08(2012)071
dc.identifier.uri http://hdl.handle.net/10550/35425
dc.description.abstract We study theoretically the effects of finite volume for pipi scattering in order to extract physical observables for infinite volume from lattice QCD. We compare three different approaches for pipi scattering (lowest order Bethe-Salpeter approach, N/D and inverse amplitude methods) with the aim to study the effects of the finite size of the box in the potential of the different theories, specially the left-hand cut contribution through loops in the crossed t,u-channels. We quantify the error made by neglecting these effects in usual extractions of physical observables from lattice QCD spectra. We conclude that for pipi phase-shifts in the scalar-isoscalar channel up to 800 MeV this effect is negligible for box sizes bigger than 2.5m_pi^-1 and of the order of 5% at around 1.5-2m_pi^-1. For isospin 2 the finite size effects can reach up to 10% for that energy. We also quantify the error made when using the standard Luscher method to extract physical observables from lattice QCD, which is widely used in the literature but is an approximation of the one used in the present work.
dc.relation.ispartof Journal of High Energy Physics, 2012, vol. 08, num. 8, p. 071-1-071-22
dc.rights.uri info:eu-repo/semantics/openAccess
dc.source Albaladejo, M. Oller, J.A. Oset Báguena, Eulogio Ríos, G. Roca, L. 2012 Finite volume treatment of pi pi scattering and limits to phase shifts extraction from lattice QCD Journal of High Energy Physics 08 8 071-1 071-22
dc.subject Física
dc.title Finite volume treatment of pi pi scattering and limits to phase shifts extraction from lattice QCD
dc.type info:eu-repo/semantics/article
dc.date.updated 2014-05-26T10:50:08Z
dc.identifier.doi http://dx.doi.org/10.1007/JHEP08(2012)071
dc.identifier.idgrec 083285

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