Vacuum energy and the cosmological constant problem in $\kappa$-Poincaré invariant field theories

Abstract

We investigate the vacuum energy in $\kappa$-Poincaré invariant field theories. It is shown that for the equivariant Dirac operator one obtains an improvement in UV behavior of the vacuum energy and therefore the cosmological constant problem has to be revised.

arXiv commentimproved version, 15 pages

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• $\kappa$-Poincaré-comodules, Braided Tensor Products and Noncommutative Quantum Field Theory
• Interplay between spacetime curvature, speed of light and quantum deformations of relativistic symmetries
• Observables in Quantum Mechanics and the Importance of Self-adjointness
• Lie-Poisson gauge theories and $\kappa$-Minkowski electrodynamics
• Quantum instability of gauge theories on $\kappa$-Minkowski space
• Revisiting Vacuum Energy in Compact Spacetimes
• Multiparticle states in braided lightlike $\kappa$-Minkowski noncommutative QFT
• Corrections to Kerr-Newman black hole from Noncommutative Einstein-Maxwell equation