2-point functions in quantum cosmology

Gielen, Steffen

doi:10.1088/1742-6596/360/1/012029

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2-point functions in quantum cosmology

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Gielen, Steffen
Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1108.6059
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JoPCS_360_1_012029.pdf
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Citation

Gielen, S. (2012). 2-point functions in quantum cosmology. Journal of Physics: Conference Series, 360: 012029.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0012-312C-4

Abstract

We discuss the path-integral formulation of quantum cosmology with a massless scalar field as a sum-over-histories, with particular reference to loop quantum cosmology. Exploiting the analogy with the relativistic particle, we give a complete overview of the possible two-point functions, deriving vertex expansions and composition laws they satisfy. We clarify the tie between definitions using a group averaging procedure and those in a deparametrised framework. We draw some conclusions about the physics of a single quantum universe and multiverse field theories where the role of these sectors and the inner product are reinterpreted.