%0 Journal Article
%T The averaged null energy condition and difference inequalities in quantum field theory
%A Ulvi Yurtsever
%J Physics
%D 1994
%I arXiv
%R 10.1103/PhysRevD.51.5797
%X Recently, Larry Ford and Tom Roman have discovered that in a flat cylindrical space, although the stress-energy tensor itself fails to satisfy the averaged null energy condition (ANEC) along the (non-achronal) null geodesics, when the ``Casimir-vacuum" contribution is subtracted from the stress-energy the resulting tensor does satisfy the ANEC inequality. Ford and Roman name this class of constraints on the quantum stress-energy tensor ``difference inequalities." Here I give a proof of the difference inequality for a minimally coupled massless scalar field in an arbitrary two-dimensional spacetime, using the same techniques as those we relied on to prove ANEC in an earlier paper with Robert Wald. I begin with an overview of averaged energy conditions in quantum field theory.
%U http://arxiv.org/abs/gr-qc/9411056v1