Energy inequalities in interacting quantum field theories

TL;DR

This paper explores the extension of quantum energy inequalities to interacting quantum field theories, addressing the challenge of their general validity beyond free theories.

Contribution

It provides initial insights into the behavior of QEIs in self-interacting quantum field theories, a less understood area.

Findings

Preliminary analysis of QEIs in interacting theories.

Identification of conditions under which QEIs may hold.

Foundation for further rigorous studies on energy conditions in quantum fields.

Abstract

The classical energy conditions, originally motivated by the Penrose-Hawking singularity theorems of general relativity, are violated by quantum fields. A reminiscent notion of such conditions are the so called quantum energy inequalities (QEIs), which are however not known to hold generally in quantum field theory. Here we present first steps towards investigating QEIs in quantum field theories with self-interaction.