Characterization of resonances using finite size effects

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dc.creatorPozsgay, B.
dc.creatorTakacs, G.
dc.date2006-04-04
dc.date2006-05-17
dc.date.accessioned2026-07-07T10:46:21Z
dc.date.available2026-07-07T10:46:21Z
dc.descriptionWe develop methods to extract resonance widths from finite volume spectra of 1+1 dimensional quantum field theories. Our two methods are based on Luscher's description of finite size corrections, and are dubbed the Breit-Wigner and the improved "mini-Hamiltonian" method, respectively. We establish a consistent framework for the finite volume description of sufficiently narrow resonances that takes into account the finite size corrections and mass shifts properly. Using predictions from form factor perturbation theory, we test the two methods against finite size data from truncated conformal space approach, and find excellent agreement which confirms both the theoretical framework and the numerical validity of the methods. Although our investigation is carried out in 1+1 dimensions, the extension to physical (3+1) space-time dimensions appears straightforward, given sufficiently accurate finite volume spectra.
dc.description47 pages, 12 eps figures, LaTeX2e file v2: some textual inaccuracies, misprints and typos corrected v3: some more corrections, mainly to the intro, a reference added. Version accepted for publication
dc.identifierhttps://arxiv.org/abs/hep-th/0604022
dc.identifierhttp://arxiv.org/abs/hep-th/0604022
dc.identifierNucl.Phys.B748:485-523,2006
dc.identifierdoi:10.1016/j.nuclphysb.2006.05.007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183204
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Lattice
dc.titleCharacterization of resonances using finite size effects
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