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

Rainer Verch
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
@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