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.
Note on Reflection Positivity in Nonlocal Gravity
Modesto, L.
2019-01-01
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.
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