2007/11/11 by M. V. Altaĭsky, Mikhail V. Altaisky · 1 citation
Earth and Planetary Sciences · Physics and Astronomy · #Geophysics and Gravity Measurements #NMR spectroscopy and applications #Seismic Imaging and Inversion Techniques #hep-th
paper · pdf · doi:10.3842/sigma.2007.105
published as SIGMA 3:105,2007 · This 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/
arxiv created 2007/11/11 · openalex publication_date 2007/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Euclidean quantum field theory for the fields x (x), which depend on both the position x and the resolution x, 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.