The averaged null energy condition and difference inequalities in quantum field theory

Details The averaged null energy condition and difference inequalities in quantum field theory The averaged null energy condition and difference inequalities in quantum field theory

1994-11-21

arxiv.org/abs/gr-qc/9411056v1

Phys.Rev. D51 (1995) 5797-5805

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages

Scientific paper

10.1103/PhysRevD.51.5797

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.

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