Quantum Energy Inequality for the Massive Ising Model
arXiv:1304.7682 · doi:10.1103/PhysRevD.88.025019
Abstract
A Quantum Energy Inequality (QEI) is derived for the massive Ising model, giving a state-independent lower bound on suitable averages of the energy density; the first QEI to be established for an interacting quantum field theory with nontrivial S-matrix. It is shown that the Ising model has one-particle states with locally negative energy densities, and that the energy density operator is not additive with respect to combination of one-particle states into multi-particle configurations.
arXiv commentSlightly extended version, as published in Phys. Rev. D; 6 pages, 2 figures
References in corpus (25)
- Quantum Field Theory Constrains Traversable Wormhole Geometries
- Restrictions on Negative Energy Density in Flat Spacetime
- Quantum inequalities in two dimensional Minkowski spacetime
- Bounds on negative energy densities in flat spacetime
- Quantum Energy Inequalities in two-dimensional conformal field theory
- A general worldline quantum inequality
- Construction of Quantum Field Theories with Factorizing S-Matrices
- The unphysical nature of "Warp Drive"
- A Quantum Weak Energy Inequality for Spin-One Fields in Curved Spacetime
- Scalar Field Quantum Inequalities in Static Spacetimes
- A Quantum Weak Energy Inequality for Dirac fields in curved spacetime
- Singularity theorems from weakened energy conditions
- Bounds on negative energy densities in static space-times
- Quantum Energy Inequalities for the Non-Minimally Coupled Scalar Field
- Quantum Inequalities for the Electromagnetic Field
- Static Negative Energies Near a Domain Wall
- Quantum Weak Energy Inequalities for the Dirac field in Flat Spacetime
- String-- and Brane--Localized Causal Fields in a Strongly Nonlocal Model
- Quantum inequalities for the free Rarita-Schwinger fields in flat spacetime
- Negative Energy Density States for the Dirac Field in Flat Spacetime
- An explicit quantum weak energy inequality for Dirac fields in curved spacetimes
- Quantum Inequalities from Operator Product Expansions
- An operator expansion for integrable quantum field theories
- Scaling limits of integrable quantum field theories
- A quantum weak energy inequality for the Dirac field in two-dimensional flat spacetime
Cited by in corpus (16)
- Energy conditions in general relativity and quantum field theory
- Characterization of local observables in integrable quantum field theories
- The Return of the Singularities: Applications of the Smeared Null Energy Condition
- Relative entropy of coherent states on general CCR algebras
- Negative energy densities in integrable quantum field theories at one-particle level
- Quantum Energy Inequalities in Pre-Metric Electrodynamics
- Canonical quantization of 1+1-dimensional Yang-Mills theory: An operator-algebraic approach
- Quantum inequality for a scalar field with a background potential
- Quantum energy inequalities in integrable models with several particle species and bound states
- Towards an explicit construction of local observables in integrable quantum field theories
- Wormhole restrictions from quantum energy inequalities
- Averaged null energy condition and quantum inequalities in curved spacetime
- Numerical results on Quantum Energy Inequalities in Integrable Models at the Two-Particle level
- Relativistische Materie in zwei Raum-Zeit-Dimensionen
- A Quantum Energy Inequality for a Non-commutative QFT
- Explicit construction of Hadamard states for Quantum Field Theory in curved spacetimes