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Scale anomalies imply violation of the averaged null energy condition

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abstract

Considerable interest has recently been expressed regarding the issue of whether or not quantum field theory on a fixed but curved background spacetime satisfies the averaged null energy condition (ANEC). A comment by Wald and Yurtsever [Phys. Rev. D43, 403 (1991)] indicates that in general the answer is no. In this note I explore this issue in more detail, and succeed in characterizing a broad class of spacetimes in which the ANEC is guaranteed to be violated. Finally, I add some comments regarding ANEC violation in Schwarzschild spacetime.

fields

astro-ph.CO 1

years

2026 1

verdicts

UNVERDICTED 1

representative citing papers

The energy conditions and model selection in the local Universe

astro-ph.CO · 2026-05-27 · unverdicted · novelty 4.0

Local HII galaxy and cosmic chronometer data favor the Rh=ct universe over ΛCDM at 92% vs 8% likelihood, with Rh=ct satisfying all energy conditions while ΛCDM violates the strong energy condition at z≲2.

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  • The energy conditions and model selection in the local Universe astro-ph.CO · 2026-05-27 · unverdicted · none · ref 39 · internal anchor

    Local HII galaxy and cosmic chronometer data favor the Rh=ct universe over ΛCDM at 92% vs 8% likelihood, with Rh=ct satisfying all energy conditions while ΛCDM violates the strong energy condition at z≲2.