PoS - Proceedings of Science
Volume 406 - Corfu Summer Institute 2021 "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2021) - Workshop on Quantum Geometry, Field Theory and Gravity
Gauge Theories on kappa-Minkowski spaces: Results and prospects.
J.C. Wallet* and K. Hersent
Full text: pdf
Published on: November 23, 2022
Abstract
Recent results obtained in $\kappa$-Poincaré invariant gauge theories on $\kappa$-Minkowski space are reviewed and commented. A Weyl quantization procedure can be applied to convolution algebras to derive a convenient star product. For such a star product, gauge invariant polynomial action functional depending on the curvature exists only in 5 dimensions. The corresponding noncommutative differential calculus and the related connection are twisted together with the BRST structure linked to the gauge invariance.
Phenomenological consequences stemming from the existence of one extra dimension are commented. Some consequences of the appearance of a non-vanishing one-loop tadpole upon BRST gauge-fixing are discussed.
DOI: https://doi.org/10.22323/1.406.0286
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