The averaged null energy condition for general quantum field theories in two dimensions
Abstract
It is shown that in any local quantum field theory in twodimensional Minkowski spacetime possessing a mass gap and an energymomentum tensor, the averaged null energy condition is fulfilled for the set of those vector states which correspond to energetically strongly damped, local excitations of the vacuum. This set of physical vector states is translation invariant and dense. The energymomentum tensor of the theory is assumed to be a Wightman field which is local relative to the observables, generates locally the translations, is divergencefree, and energetically bounded. Thus the averaged null energy condition can be deduced from completely generic, standard assumptions for general quantum field theory in twodimensional flat spacetime.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 January 2000
 DOI:
 10.1063/1.533130
 arXiv:
 arXiv:mathph/9904036
 Bibcode:
 2000JMP....41..206V
 Keywords:

 11.10.z;
 04.60.m;
 11.15.Kc;
 Field theory;
 Quantum gravity;
 Classical and semiclassical techniques;
 Mathematical Physics;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 LateX2e, 16 pages, 1 eps figure