Quantum inequality for a scalar field with a background potential
arXiv:1404.6541 · doi:10.1103/PhysRevD.90.024031
Abstract
Quantum inequalities are bounds on negative time-averages of the energy density of a quantum field. They can be used to rule out exotic spacetimes in general relativity. We study quantum inequalities for a scalar field with a background potential (i.e., a mass that varies with spacetime position) in Minkowski space. We treat the potential as a perturbation and explicitly calculate the first-order correction to a quantum inequality with an arbitrary sampling function, using general results of Fewster and Smith. For an arbitrary potential, we give bounds on the correction in terms of the maximum values of the potential and its first three derivatives. The techniques we develop here will also be applicable to quantum inequalities in general spacetimes with small curvature, which are necessary to rule out exotic phenomena.
20 pages
References in corpus (12)
- Averaged Energy Conditions and Quantum Inequalities
- Quantum Field Theory Constrains Traversable Wormhole Geometries
- Bounds on negative energy densities in flat spacetime
- Quantum Energy Inequalities in two-dimensional conformal field theory
- A general worldline quantum inequality
- Achronal averaged null energy condition
- Null energy conditions in quantum field theory
- Absolute quantum energy inequalities in curved spacetime
- Averaged null energy condition in spacetimes with boundaries
- Quantum Energy Inequalities and local covariance I: Globally hyperbolic spacetimes
- Quantum Energy Inequality for the Massive Ising Model
- Averaged null energy condition in a classical curved background