# The Minkowski quantum vacuum does not gravitate

## TL;DR

This paper demonstrates that the non-zero vacuum energy in a scalar quantum field theory over Minkowski spacetime conflicts with the scalar-field equation at two-loop order, challenging assumptions about vacuum energy and gravity.

## Contribution

It reveals a tension between renormalized zero-point energy and scalar-field equations at two-loop order in perturbation theory.

## Key findings

- Non-zero vacuum energy conflicts with scalar-field equations.
- Two-loop perturbation theory exposes this tension.
- Implications for quantum vacuum and gravity theories.

## Abstract

We show that a non-zero renormalised value of the zero-point energy in $\lambda\phi^4$-theory over Minkowski spacetime is in tension with the scalar-field equation at two-loop order in perturbation theory.