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Phys. Rev. D 62, 025004 (2000) [10 pages]

Local D=4 field theory on κ-deformed Minkowski space

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P. Kosiński
Institute of Physics, University of Lódź, ul. Pomorska 149/53 90–236 Lódź, Poland

J. Lukierski
Institute for Theoretical Physics, University of Wrocław, pl. Maxa Borna 9, 50–205 Wrocław, Poland
Departamento de Fisica Teorica and IFIC (CSIC), Facultad de Fisica, Universidad de Valencia, 46100 Burjassot (Valencia), Spain

P. Maślanka
Institute of Physics, University of Lódź, ul. Pomorska 149/53 90–236 Lódź, Poland

Received 11 March 1999; published 16 June 2000

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

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.62.025004
DOI:
10.1103/PhysRevD.62.025004
PACS:
03.70.+k, 11.10.Lm, 11.30.Cp