A note on reflection positivity in nonlocal gravity
M. Christodoulou, L. Modesto1)
Department of Physics, Southern University of Science and Technology, 518055 Shenzhen, China
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.