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math-phMay 1, 2014
2
citations (OpenAlex)
authors
  • Albert Much
institutions
  • University of Vienna
arXiv abstractPDF
paper

Relativistic Corrections to the Moyal-Weyl Spacetime

arXiv:1405.6579 · doi:10.1063/1.4906812

Abstract

We define a coordinate operator in a QFT-fashion to obtain by a deformation procedure a relativistic Moyal-Weyl spacetime. The idea is extracted from recent progress in deformation theory concerning the emergence of the quantum plane of the Landau-quantization. The obtained spacetime is not equal to the standard Moyal-Weyl plane but relativistic corrections occur.

References in corpus (13)

  • The quantum structure of spacetime at the Planck scale and quantum fields
  • Duality in Scalar Field Theory on Noncommutative Phase Spaces
  • Ultraviolet Finite Quantum Field Theory on Quantum Spacetime
  • Warped Convolutions, Rieffel Deformations and the Construction of Quantum Field Theories
  • Wedge-Local Quantum Fields and Noncommutative Minkowski Space
  • String-localized Quantum Fields and Modular Localization
  • Magnetic Backgrounds and Noncommutative Field Theory
  • An operator expansion for integrable quantum field theories
  • Quantum Mechanical Effects from Deformation Theory
  • Operator Deformations in Quantum Measurement Theory
  • Wedge-Local Quantum Fields on a Nonconstant Noncommutative Spacetime
  • Wedge locality and asymptotic commutativity
  • Conjugate variables in quantum field theory: the basic case

Cited by in corpus (2)

  • Self-Adjointness of Deformed Unbounded Operators
  • A Poincaré Covariant Noncommutative Spacetime?
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