Vacuum energy and the cosmological constant problem in $\kappa$-Poincar\'e invariant field theories

TL;DR

This paper explores how $ abla$-Poincaré invariant field theories affect vacuum energy, showing improved UV behavior with the equivariant Dirac operator, which may influence the cosmological constant problem.

Contribution

It demonstrates that using the equivariant Dirac operator in $ abla$-Poincaré invariant theories improves UV behavior of vacuum energy, offering new insights into the cosmological constant problem.

Findings

Improved UV behavior of vacuum energy with equivariant Dirac operator

Potential revision of the cosmological constant problem

Enhanced understanding of $ abla$-Poincaré invariant field theories

Abstract

We investigate the vacuum energy in $\kappa$-Poincar\'e 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.