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arXiv · 2503.07922

Gauge Theories on quantum Minkowski spaces: $\rho$ versus $\kappa$

Jean-Christophe Wallet
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Abstract

The $\rho$-Minkowski space-time, a Lie-algebraic deformation of the usual Minkowski space-time is considered. A star-product realization of this quantum space-time together with the characterization of the deformed Poincar\'e symmetry acting on it are presented. It is shown that appearance of UV/IR mixing is expected already in scalar field theories on $\rho$-Minkowski. Classical and one-loop features of a typical gauge theory on this quantum space-time are presented and critically compared to the situation for $\kappa$-Minkowski.

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Jean-Christophe Wallet. 2025-03-10. Gauge Theories on quantum Minkowski spaces: $\rho$ versus $\kappa$. https://doi.org/10.22323/1.490.0297

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