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

Details Local D=4 Field Theory on $κ$--Deformed Minkowski Space Local D=4 Field Theory on $κ$--Deformed Minkowski Space

1999-02-04

arxiv.org/abs/hep-th/9902037v2

Phys.Rev.D62:025004,2000

Physics

High Energy Physics

High Energy Physics - Theory

revtex, 2 figures.The text has been enlarged by two pages, mostly the explicite description of local scalar field on $kappa$-d

Scientific paper

10.1103/PhysRevD.62.025004

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

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