Proof of the quantum null energy condition for free fermionic field theories
Oct 16, 201913 pages
Published in:
- Phys.Rev.D 101 (2020) 6, 066028
- Published: Mar 26, 2020
e-Print:
- 1910.07594 [hep-th]
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Abstract: (APS)
The quantum null energy condition (QNEC) is a quantum generalization of the null energy condition, which gives a lower bound on the null energy in terms of the second derivative of the von Neumann entropy or entanglement entropy of some region with respect to a null direction. The QNEC states that ⟨Tkk⟩p≥limA→0(ℏ2πASout′′), where Sout is the entanglement entropy restricted to one side of a codimension-2 surface Σ, which is deformed in the null direction about a neighborhood of point p with area A. A proof of QNEC has been given before, which applies to free and super-renormalizable bosonic field theories, and to any points that lie on a stationary null surface. Using similar assumptions and methods, we prove the QNEC for fermionic field theories.Note:
- 13 pages, 3 figures
- String theory
- quantum gravity
- gauge/gravity duality
- fermion: field theory
- entropy: entanglement
- entropy: von Neumann
- boson: field theory
- gauge field theory: boson
- null-energy condition
- surface
References(25)
Figures(3)
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