Low-energy constraints on kappa-Minkowski extension of the Standard Model

Abstract

We investigate the phenomenological consequences of kappa-Minkowski extension of the Standard Model, working in the linear order in inverse $\kappa$. At this order the *-deformed Lagrangian can be expanded in the series of dimension five operators that have non-trivial transformation properties under the ordinary Lorentz invariance. Such operators cause the Lorentz-violating signatures at low energies, and in particular lead to the anomalous spin precession linked to the external direction. The experimental bounds on this phenomenon then restrict parameter $\kappa$ to be above 10^{23} GeV, making it difficult to impose a direct connection between this theory and quantum gravity.

arXiv comment6 pages

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• A twisted look on kappa-Minkowski: U(1) gauge theory
• $\kappa$-deformed Dirac Equation
• Twists, realizations and Hopf algebroid structure of kappa-deformed phase space
• Maxwell's equations on the $\kappa$-Minkowski spacetime and Electric-Magnetic duality
• Uniformly accelerating observer in $\kappa$-deformed space-time
• Gauge Theories on Deformed Spaces
• Uniformly accelerated detector in the $\kappa$-deformed Dirac vacuum
• Time-space noncommutativity and Casimir effect
• Gauge theory on kappa-Minkowski revisited: the twist approach
• Noncommutative Spacetime Realized in $Ad{S}_{n+1}$ Space