Electrodynamics in quantum space-time
type: Item
instance of: scholarly article
title: Electrodynamics in quantum space-time
zbMATH Open document ID: 0629.53071
DOI: 10.1007/BF00669358
author: B. George
published in: International Journal of Theoretical Physics
publication date: 1987-01-01T00:00:00Z
review text: It is shown that introducing quantum space-time into physics leads to a certain fictitious ``gravitational'' field with the ``metric tensor'' \(\hat g_{\mu \nu}(z)\). This formalism allows us to reformulate Maxwell's equations in quantum space-time in accordance with the general covariance principle. A transformation method connecting the electromagnetic field tensor \(\hat F^{\mu \nu}(z)\) to the usual one \(F^{\mu \nu}(x)\) for the quantum system of reference is given. The electromagnetic force acting on the charged particle in quantum space- time is also defined and its equation of motion is investigated for a concrete case. In our scheme, a gauge-invariant description of electromagnetic processes in quantum space-time at small distances is achieved by using gauge transformations over the whole space-time on the large scale.
Mathematics Subject Classification ID: 53B50
Mathematics Subject Classification ID: 81V10
zbMATH DE Number: 4024255
zbMATH Keywords: electrodynamics
zbMATH Keywords: quantum space-time
zbMATH Keywords: Maxwell's equations
zbMATH Keywords: gauge-invariant description
MaRDI profile type: Publication
cites work: Nonlocality and stochastic quantization of field theory
cites work: Quantum space-time and gravitational consequences
description: scientific article; zbMATH DE number 4024255