# Absolute Quantum Energy Inequalities in Curved Spacetime

@article{Fewster2008AbsoluteQE, title={Absolute Quantum Energy Inequalities in Curved Spacetime}, author={Christopher J. Fewster and Calvin J. Smith}, journal={Annales Henri Poincar{\'e}}, year={2008}, volume={9}, pages={425-455} }

Abstract.Quantum Energy Inequalities (QEIs) are results which limit the extent to which the smeared renormalized energy density of the quantum field can be negative, when averaged along a timelike curve or over a more general timelike submanifold in spacetime. On globally hyperbolic spacetimes the minimally-coupled massive quantum Klein–Gordon field is known to obey a ‘difference’ QEI that depends on a reference state chosen arbitrarily from the class of Hadamard states. In many spacetimes of…

## 46 Citations

An Absolute quantum energy inequality for the Dirac field in curved spacetime

- Physics
- 2007

Quantum weak energy inequalities (QWEIs) are results which limit the extent to which the smeared renormalized energy density of a quantum field can be negative. On globally hyperbolic spacetimes the…

Quantum strong energy inequalities

- PhysicsPhysical Review D
- 2019

Quantum energy inequalities (QEIs) express restrictions on the extent to which weighted averages of the renormalized energy density can take negative expectation values within a quantum field theory.…

Averaged null energy condition and quantum inequalities in curved spacetime

- Physics
- 2015

The Averaged Null Energy Condition (ANEC) states that the integral along a complete null geodesic of the projection of the stress-energy tensor onto the tangent vector to the geodesic cannot be…

Quantum inequality in spacetimes with small curvature

- Physics, Mathematics
- 2015

Quantum inequalities bound the extent to which weighted time averages of the renormalized energy density of a quantum field can be negative. They have mostly been proved in flat spacetime, but we…

Lectures on quantum energy inequalities

- Physics
- 2012

Quantum field theory violates all the classical energy conditions of general relativity. Nonetheless, it turns out that quantum field theories satisfy remnants of the classical energy conditions,…

Quantum Energy Inequalities

- Physics
- 2017

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 energy conditions of…

A Class of Almost Equilibrium States in Robertson-Walker Spacetimes

- Physics
- 2008

In quantum field theory in curved spacetimes the construction of the algebra of observables of linear fields is today well understood. However, it remains a non-trivial task to construct physically…

Algebraic Quantum Field Theory in Curved Spacetimes

- Physics
- 2015

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 by a functor…

Local Thermal Equilibrium States and Quantum Energy Inequalities

- Physics
- 2008

Abstract.In this paper we investigate the energy distribution of states of a linear scalar quantum field with arbitrary curvature coupling on a curved spacetime which fulfill some local thermality…

Quantum energy inequalities and local covariance II: categorical formulation

- Mathematics
- 2007

We formulate quantum energy inequalities (QEIs) in the framework of locally covariant quantum field theory developed by Brunetti, Fredenhagen and Verch, which is based on notions taken from category…

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An Absolute quantum energy inequality for the Dirac field in curved spacetime

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Quantum weak energy inequalities (QWEIs) are results which limit the extent to which the smeared renormalized energy density of a quantum field can be negative. On globally hyperbolic spacetimes the…

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The quantized Dirac field is known, by a result of Fewster and Verch, to satisfy a quantum weak energy inequality (QWEI) on its averaged energy density along timelike curves in arbitrary…

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Quantum Weak Energy Inequalities (QWEIs) have been established for a variety of quantum field theories in both flat and curved spacetimes. Dirac fields are known (by a result of Fewster and Verch) to…