English

Twisted Covariance and Weyl Quantisation

High Energy Physics - Theory 2015-05-13 v2 General Relativity and Quantum Cosmology

Abstract

In this letter we wish to clarify in which sense the tensor nature of the commutation relations [x^mu,x^nu]=i theta ^{mu nu} underlying Minkowski spacetime quantisation cannot be suppressed even in the twisted approach to Lorentz covariance. We then address the vexata quaestio "why theta"?

Cite

@article{arxiv.0901.3109,
  title  = {Twisted Covariance and Weyl Quantisation},
  author = {Gherardo Piacitelli},
  journal= {arXiv preprint arXiv:0901.3109},
  year   = {2015}
}

Comments

6 pages, pdf has active hyperlinks Slight change in title. Appendix added on more general coordinates for symbols. References added. To appear in the Proceedings of the XXV Max Born Symposium, Wroclaw, June 29-July 3, 2009

R2 v1 2026-06-21T12:02:56.472Z