English

Quantum fields, Noether charges and \kappa-spacetime symmetries

High Energy Physics - Theory 2008-11-26 v1

Abstract

We discuss how the symmetries of κ\kappa-Minkowski non-commutative spacetime can be described by the κ\kappa-Poincar\'e Hopf algebra. In particular, we focus on a generalization of the Noether analysis in the κ\kappa-deformed framework which allows us to introduce Noether charges associated with translational symmetries and makes possible to overcome the apparent ambiguities that seemed to be associated with the action of such symmetries. Moving from the classical to the quantum framework, we will first review past results on path integral quantization of a scalar self-interacting field. We will then show how recent work on the symplectic structure of classical κ\kappa-fields suggests a new approach to the canonical quantization of free fields and and present some new results.

Keywords

Cite

@article{arxiv.0711.3222,
  title  = {Quantum fields, Noether charges and \kappa-spacetime symmetries},
  author = {Michele Arzano},
  journal= {arXiv preprint arXiv:0711.3222},
  year   = {2008}
}

Comments

13 pages, no figures. To appear in the proceedings of the workshop "From Quantum to Emergent Gravity: Theory and Phenomenology", Trieste, Italy, June 11-15 2007

R2 v1 2026-06-21T09:45:28.093Z