A Lower Bound on the Energy Density in Classical and Quantum Field Theories
arXiv:1701.03196 · doi:10.1103/PhysRevLett.118.151601
Abstract
A novel method for deriving energy conditions in stable field theories is described. In a local classical theory with one spatial dimension, a local energy condition always exists. For a relativistic field theory, one obtains the dominant energy condition. In a quantum field theory, there instead exists a quantum energy condition, i.e. a lower bound on the energy density that depends on information-theoretic quantities. Some extensions to higher dimensions are briefly discussed.
7 pages, no figures. v2: fixed typos, added refs, other minor changes, v3: minor corrections, changed title (was "From Global to Local Energy Conditions")
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- One-shot holography
- The Quantum Null Energy Condition in Curved Space
- A Survey of Black Hole Thermodynamics
- A Renyi Quantum Null Energy Condition: Proof for Free Field Theories
- Saturation of the Quantum Null Energy Condition in Far-From-Equilibrium Systems
- Entropy-area law and temperature of de Sitter horizons from modular theory
- A New Proof of the QNEC
- Outer entropy = Bartnik-Bray inner mass, and the gravitational ant conjecture
- Generalized Clausius inequalities and entanglement production in holographic two-dimensional CFTs
- Time Evolution after Double Trace Deformation
- Quantum null energy condition in quenched 2d CFTs
- Quantum Information Approaches to Quantum Gravity