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VOLUME 109 | ISSUE 5 | PAGE 292
A note on reflection positivity in nonlocal gravity
Abstract
A necessary condition for reflection positivity is that the free propagator be positive. Contrary to recent claims in the literature, we show that this is indeed the case for a large class of nonlocal field theories when the mass vanishes. We restrict attention to scalar field theories relevant for weakly nonlocal gravity and gauge theories.