Radial evolution in anti-de Sitter spacetime
A. Ilderton

TL;DR
This paper explores the properties of Green's functions in AdS spacetime, demonstrating a factorisation property for propagators that applies to scalar fields, with implications for understanding quantum fields in curved backgrounds.
Contribution
It introduces a novel factorisation property for propagators in AdS space, bridging first and second quantisation approaches for scalar fields.
Findings
Green's functions exhibit a specific factorisation in AdS spacetime
The factorisation applies to scalar field propagators
Implications for quantum field theory in curved spacetime
Abstract
Properties of Green's functions may be derived in either first or second quantisation. We illustrate this with a factorisation property for propagators in arbitrary spacetimes, and apply it to scalar fields in AdS space.
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