This review summarizes the current status of the energy conditions in general relativity and
quantum field theory. We provide a historical review and a summary of technical results and …

Abstract Quantum Energy Inequalities (QEIs) are lower bounds on local averages of energy
densities and related quantities in quantum field theory (QFT). They replace the classical …

This chapter sets out the framework of algebraic quantum field theory in curved spacetimes,
based on the idea of local covariance. In this framework, a quantum field theory is modelled …

The non-minimal coupling of scalar fields to gravity has been claimed to violate energy
conditions, leading to exotic phenomena such as traversable wormholes, even in classical …

In this article, we study the impact of self-interaction and multiparticle states on sustaining
negative energies in relativistic quantum systems. For physically reasonable models, one …

For a subalgebra of a generic CCR algebra, we consider the relative entropy between a
general (not necessarily pure) quasifree state and a coherent excitationthereof. We give a …

We consider the stress tensor in the massless Sine--Gordon model in the finite regime
$\beta^ 2< 4\pi $ of the theory. We prove convergence of the renormalised perturbative …

The classic singularity theorems of General Relativity rely on energy conditions that can be
violated in semiclassical gravity. Here, we provide motivation for an energy condition …

We present a mathematically rigorous canonical quantization of Yang-Mills theory in 1+ 1
dimensions (YM $ _ {1+ 1} $) by operator-algebraic methods. The latter are based on …

Several related operator-algebraic constructions for quantum field theory models on
Minkowski spacetime are reviewed. The common theme of these constructions is that of a …