External Momentum, Volume Effects, and the Nucleon Magnetic Moment

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dc.creatorTiburzi, B. C.
dc.date2007-10-18
dc.date2007-12-12
dc.date.accessioned2026-07-07T11:12:23Z
dc.date.available2026-07-07T11:12:23Z
dc.descriptionWe analyze the determination of volume effects for correlation functions that depend on an external momentum. As a specific example, we consider finite volume nucleon current correlators, and focus on the nucleon magnetic moment. Because the multipole decomposition relies on SO(3) rotational invariance, the structure of such finite volume corrections is unrelated to infinite volume multipole form factors. One can deduce volume corrections to the magnetic moment only when a zero-mode photon coupling vanishes, as occurs at next-to-leading order in heavy baryon chiral perturbation theory. To deduce such finite volume corrections, however, one must assume continuous momentum transfer. In practice, volume corrections with momentum transfer dependence are required to address the extraction of the magnetic moment, or other observables that arise in momentum dependent correlation functions. Additionally we shed some light on a puzzle concerning differences in lattice form factor data at equal values of momentum transfer squared.
dc.description21 pages, 5 figures; discussion in Sect. IV C expanded, Figs. now B&W friendly
dc.identifierhttps://arxiv.org/abs/0710.3577
dc.identifierhttp://arxiv.org/abs/0710.3577
dc.identifierPhys.Rev.D77:014510,2008
dc.identifierdoi:10.1103/PhysRevD.77.014510
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/191365
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectNuclear Theory
dc.titleExternal Momentum, Volume Effects, and the Nucleon Magnetic Moment
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