Blackbody radiation in \kappa-Minkowski spacetime

TL;DR

This paper investigates blackbody radiation spectra within ppa-Minkowski spacetime, revealing how noncommutative geometry and ordering effects influence the radiation and identifying a natural momentum cutoff affecting physical modes.

Contribution

It provides the first detailed calculation of blackbody spectra in ppa-Minkowski space-time considering both quantum mechanics and effective quantum field theory approaches, highlighting the impact of noncommutativity.

Findings

Blackbody spectrum depends on ordering effects in noncommutative spacetime.

Existence of a natural momentum cutoff at ppa scale.

High momentum real modes are non-physical as they disrupt the commutative limit.

Abstract

We have computed the black body radiation spectra in $\kappa-$Minkowski space-time, using the quantum mechanical picture of massless scalar particles as well as effective quantum field theory picture. The black body radiation depends on how the field theory (and thus how the $\kappa-$Poincar\'e algebra) handles the ordering effect of the noncommutative space-time. In addition, there exists a natural momentum cut-off of the order $\kappa$, 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 black-body radiation spoils the commutative limit.