Wavelet-Based Quantum Field Theory

The Euclidean quantum field theory for the fields φΔx(x), which depend on both the position x and the resolution Δx, constructed in SIGMA 2 (2006), 046, on the base of the continuous wavelet transform, is considered. The Feynman diagrams in such a theory become finite under the assumption there shou...

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Bibliographische Detailangaben
Datum:2007
1. Verfasser: Altaisky, M.V.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2007
Schriftenreihe:Symmetry, Integrability and Geometry: Methods and Applications
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/147195
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Wavelet-Based Quantum Field Theory / M.V. Altaisky // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 23 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
Beschreibung
Zusammenfassung:The Euclidean quantum field theory for the fields φΔx(x), which depend on both the position x and the resolution Δx, constructed in SIGMA 2 (2006), 046, 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.