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

Abstract

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 $\varphi$ with the interaction $\lambda {\varphi }^4$ 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.

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

References in corpus (4)

• String Theory and Noncommutative Geometry
• Spacetime foam as a quantum thermal bath
• Thermal properties of spacetime foam
• Deformed Galilei symmetry

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