Wavelet-Based Quantum Field Theory

dc.creatorAltaisky, Mikhail V.
dc.date2007-11-11
dc.date.accessioned2026-07-07T12:19:53Z
dc.date.available2026-07-07T12:19:53Z
dc.descriptionThe Euclidean quantum field theory for the fields $ϕ_{Δx}(x)$, which depend on both the position $x$ and the resolution $Δx$, constructed in SIGMA 2 (2006), 046, hep-th/0604170, on the base of the continuous wavelet transform, is considered. The Feynman diagrams in such a theory become finite under the assumption there should be no scales in internal lines smaller than the minimal of scales of external lines. This regularisation agrees with the existing calculations of radiative corrections to the electron magnetic moment. The transition from the newly constructed theory to a standard Euclidean field theory is achieved by integration over the scale arguments.
dc.descriptionThis is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/0711.1671
dc.identifierhttp://arxiv.org/abs/0711.1671
dc.identifierSIGMA 3:105,2007
dc.identifierdoi:10.3842/SIGMA.2007.105
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212915
dc.subjectHigh Energy Physics - Theory
dc.titleWavelet-Based Quantum Field Theory
dc.typetext

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