# The averaged null energy condition for general quantum field theories in two dimensions

April 29, 1999

It is shown that the averaged null energy condition is fulfilled for a dense, translationally invariant set of vector states in any local quantum field theory in two-dimensional Minkowski spacetime whenever the theory has a mass gap and possesses an energy-momentum tensor. The latter is assumed to be a Wightman field which is local relative to the observables, generates locally the translations, is divergence-free, and energetically bounded. Thus the averaged null energy condition can be deduced from completely generic, standard assumptions for general quantum field theory in two-dimensional flat spacetime.

open access link

J.Math.Phys. 41 (2000) 206-217

@article{Verch:1999nt,
author = "Verch, Rainer",
title = "{The Averaged Null energy condition for general quantum
field theories in two-dimensions}",
journal = "J. Math. Phys.",
volume = "41",
year = "2000",
pages = "206-217",
doi = "10.1063/1.533130",
eprint = "math-ph/9904036",
archivePrefix = "arXiv",
primaryClass = "math-ph",
SLACcitation = "%%CITATION = MATH-PH/9904036;%%"
}

Keywords:

ANEC, two-dimensional models, QFT on curved spacetimes