TL;DR
This paper introduces a multiscale stochastic quantization method using wavelet-defined noise, leading to new commutation relations from multiscale decomposition of operator fields.
Contribution
It develops a novel multiscale stochastic quantization framework based on wavelet-defined noise, extending traditional approaches.
Findings
Derivation of new commutation relations from multiscale decomposition
Extension of stochastic quantization to multiscale frameworks
Potential applications in multiscale quantum field analysis
Abstract
Based on the wavelet-defined multiscale random noise proposed in [Doklady Physics 2003, v.48, 478], 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
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