Stochastic quantization of a gauge field in the spatial axial gauge
type: Item
instance of: scholarly article
title: Stochastic quantization of a gauge field in the spatial axial gauge
zbMATH Open document ID: 0691.60095
DOI: 10.1007/BF01045881
author: Jianyong Qiao
author: Sumit K. Garg
published in: Letters in Mathematical Physics
publication date: 1990-01-01T00:00:00Z
review text: Quantization of an Abelian gauge field in the spatial axial gauge can be consistently carried out by using the method of stochastic mechanics [see e.g. \textit{E. Nelson}, Quantum fluctuations (1985; Zbl 0563.60001)]. The method used here differs from that for the temporal-like gauges. The singularity at \(k_ 3=0\) that is characteristic of the spatial axial gauge (with gauge condition \(A_ 3=0)\) is left undefined in this stochastic formulation. However, any acceptable prescription used to regularize this singularity, for example the Vienna (or Mandelstam- Leibrandt) prescription, applies in this case.
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 81P20
Mathematics Subject Classification ID: 81T05
zbMATH DE Number: 4131417
zbMATH Keywords: Quantization of an Abelian gauge field
zbMATH Keywords: stochastic mechanics
MaRDI profile type: Publication
cites work: Q5552132
cites work: Stochastic quantisation of a gauge field in the infrared-soft flow gauges
cites work: The generalized Fenyes-Nelson model for free scalar field theory
full work available at URL: https://doi.org/10.1007/bf01045881
OpenAlex ID: W2045371191
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description: scientific article; zbMATH DE number 4131417