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

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

1999-04-29

arxiv.org/abs/math-ph/9904036v1

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

Physics

Mathematical Physics

LateX2e, 16 pages, 1 eps figure

Scientific paper

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.

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