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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Christodoulou, M., Modesto, L. Note on Reflection Positivity in Nonlocal Gravity. Jetp Lett. 109, 286–291 (2019). https://doi.org/10.1134/S0021364019050011
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DOI: https://doi.org/10.1134/S0021364019050011