Abstract
Based on the wavelet-defined multiscale random noise proposed in [2], a multiscale version of the stochastic quantization procedure is considered. A new type of the commutation relations emerging from the multiscale decomposition of the operator-valued fields is derived.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
G. Parisi and Y.-S. Wu. Scientica Sinica, v. 24, p. 483 (1981)
M.V. Altaisky. Doklady Physics, v. 48, p. 478 (2003)
M.V. Altaisky. in Group 24: Physical and mathematical aspects of symmetries pp. 893–897, IoP, (2002)
M. Namiki. Stochastic quantization, Springer (1992)
M.V. Altaisky. Renormalization group and geometry. Proc. Int. Conf. FFP5, Hyderabad (2003)
M.B. Halpern. Progr. Theor. Phys. Suppl. v. 111, p. 163 (1993)
S. Mallat, A theory for multiresolution signal decomposition: wavelet transform. Preprint GRASP Lab. Dept. of Computer an Information Science, Univ. of Pensilvania. (1986)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer
About this paper
Cite this paper
ALTAISKY, M. (2006). SCALE-DEPENDENT STOCHASTIC QUANTIZATION. In: SIDHARTH, B., HONSELL, F., DE ANGELIS, A. (eds) Frontiers of Fundamental Physics. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4339-2_22
Download citation
DOI: https://doi.org/10.1007/1-4020-4339-2_22
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-4151-8
Online ISBN: 978-1-4020-4339-0
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)