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Interacting scalar field theory in $\kappa$-Minkowski spacetime · Around

2008

Interacting scalar field theory in $\kappa$-Minkowski spacetime

Rim, Chaiho

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We construct an complex scalar field theory in $\kappa$-Minkowksi spacetime, which respects $\kappa$-deformed Poincar\'e symmetry.

One-loop calculation shows that the theory is finite and needs finite renormalization to be compatible with the $\kappa \to \infty$ limit.
The loop result also has an imaginary valued correction due to the complex poles present in the propagator.

Built on

H. Snyder, Phys. Rev. 71
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J. Lukierski, A. Nowicki, H. Ruegg, and V. N. Tolstoy, Phys. Lett. B264
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S. Zakrzewski, J. Phys A27
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Then

H.-C. Kim. J. H. Yee, and C. Rim, Phys. Rev. D75
2007
Later among the works it cites.
H.-C. Kim, C. Rim, and J. H. Yee, Phys. Rev. D76
Original
2007
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