Blackbody radiation inκ-Minkowski spacetime

Abstract

We have computed the blackbody radiation spectra in $\ensuremath{\kappa}$-Minkowski spacetime, using the quantum mechanical picture of massless scalar particles as well as an effective quantum field theory picture. The blackbody radiation depends on how the field theory (and thus how the $\ensuremath{\kappa}$-Poincar\'e algebra) handles the ordering effect of the noncommutative spacetime. In addition, there exists a natural momentum cutoff of the order $\ensuremath{\kappa}$, beyond which a new real mode takes its shape from a complex mode and the old real mode flows out to be a new complex mode. However, the new high momentum real mode should not be physical since its contributions to the blackbody radiation spoil the commutative limit.