Luscher's mu-term and finite volume bootstrap principle for scattering states and form factors

dc.creatorPozsgay, B.
dc.date2008-03-31
dc.date.accessioned2026-07-07T11:33:25Z
dc.date.available2026-07-07T11:33:25Z
dc.descriptionWe study the leading order finite size correction (Luscher's mu-term) associated to moving one-particle states, arbitrary scattering states and finite volume form factors in 1+1 dimensional integrable models. Our method is based on the idea that the mu-term is intimately connected to the inner structure of the particles, ie. their composition under the bootstrap program. We use an appropriate analytic continuation of the Bethe-Yang equations to quantize bound states in finite volume and obtain the leading mu-term (associated to symmetric particle fusions) by calculating the deviations from the predictions of the ordinary Bethe-Yang quantization. Our results are compared to numerical data of the E8 scattering theory obtained by truncated fermionic space approach. As a by-product it is shown that the bound state quantization does not only yield the correct mu-term, but also provides the sum over a subset of higher order corrections as well.
dc.description21 pages, 35 eps figures, LaTeX2e file
dc.identifierhttps://arxiv.org/abs/0803.4445
dc.identifierhttp://arxiv.org/abs/0803.4445
dc.identifierNucl.Phys.B802:435-457,2008
dc.identifierdoi:10.1016/j.nuclphysb.2008.04.021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/197889
dc.subjectHigh Energy Physics - Theory
dc.titleLuscher's mu-term and finite volume bootstrap principle for scattering states and form factors
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