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Local D=4 Field Theory on $\kappa$--Deformed Minkowski Space

High Energy Physics - Theory 2016-08-15 v2

Abstract

We describe the local D=4 field theory on κ\kappa--deformed Minkowski space as nonlocal relativistic field theory on standard Minkowski space--time. For simplicity the case of κ\kappa-deformed scalar field ϕ\phi with the interaction λϕ4\lambda \phi^{4} is considered, and the κ\kappa--deformed interaction vertex is described. It appears that fundamental mass parameter κ\kappa plays a role of regularizing imaginary Pauli--Villars mass in κ\kappa--deformed propagator.

Keywords

Cite

@article{arxiv.hep-th/9902037,
  title  = {Local D=4 Field Theory on $\kappa$--Deformed Minkowski Space},
  author = {P. Kosiński and J. Lukierski and P. Maślanka},
  journal= {arXiv preprint arXiv:hep-th/9902037},
  year   = {2016}
}

Comments

revtex, 2 figures.The text has been enlarged by two pages, mostly the explicite description of local scalar field on $kappa$-deformed Minkowski space has been extended. One figure added