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High Energy Physics - Theory
Title: An analogue of non-interacting quantum field theory in Riemannian signature
(Submitted on 18 Apr 2024 (v1), last revised 21 Apr 2024 (this version, v2))
Abstract: In this paper, we define a model of non-interacting quantum fields satisfying $(\Delta_g-\lambda^2)\phi=0$ on a Riemannian scattering space $(M,g)$ with two boundary components, i.e. a manifold with two asymptotically conic ends (meaning asymptotic to the "large end" of a cone). Our main result describes a canonical construction of two-point functions satisfying a version of the Hadamard condition.
Submission history
From: Mikhail Molodyk [view email][v1] Thu, 18 Apr 2024 00:58:44 GMT (51kb)
[v2] Sun, 21 Apr 2024 15:01:40 GMT (51kb)
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