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arXiv · 2012.07946

Limiting absorption principle and equivalence of Feynman propagators on asymptotically Minkowski spacetimes

Kouichi Taira
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Abstract

In this paper, we shall show that the limiting absorption principle for the wave operator on the asymptotically Minkowski spacetime. This problem was previously considered by [A. Vasy, J. Spect. Theory, 10,439-461 , (2020)]. Here, we employ a more transparent tool, the Mourre theory and removes an additional condition which is imposed in his paper. Moreover, we also prove that the anti-Feynman propagator defined by G\'erard and Wrochna coincides with the outgoing resolvent.

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Kouichi Taira. 2020-12-14. Limiting absorption principle and equivalence of Feynman propagators on asymptotically Minkowski spacetimes. https://doi.org/10.1007/s00220-021-04196-7

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