English

Dirac operator on $\kappa$-Minkowski space bicovariant differential calculus and deformed U(1) gauge theory

q-alg 2008-11-26 v1 High Energy Physics - Theory Quantum Algebra

Abstract

Derivation of κ\kappa-Poincare bicovariant commutation relations between coordinates and 1-forms on κ\kappa-Minkowski space is given using Dirac operator and Allain Connes formula. The deformed U(1) gauge theory and appearance of an additional spin 0 gauge field is discussed.

Keywords

Cite

@article{arxiv.q-alg/9710019,
  title  = {Dirac operator on $\kappa$-Minkowski space bicovariant differential calculus and deformed U(1) gauge theory},
  author = {P. N. Bibikov},
  journal= {arXiv preprint arXiv:q-alg/9710019},
  year   = {2008}
}