Karlsruhe 2011 – wissenschaftliches Programm

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GR: Fachverband Gravitation und Relativitätstheorie

GR 2: Quantengravitation und Quantenkosmologie

GR 2.3: Vortrag

Montag, 28. März 2011, 17:25–17:45, 20.40: 101

Two-point functions in (loop) quantum cosmology — Gianluca Calcagni¹, •Steffen Gielen^{1, 2}, and Daniele Oriti¹ — ¹Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Am Mühlenberg 1, D-14476 Golm — ²DAMTP, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WA, U.K.

We discuss the path-integral formulation of quantum cosmology with a massless scalar field as a sum-over-histories of volume transitions, with particular but non-exclusive reference to loop quantum cosmology (LQC). Exploiting the analogy with the relativistic particle, we give a complete overview of the possible two-point functions, pointing out the choices involved in their definitions, deriving their vertex expansions and the composition laws they satisfy. We clarify the origin and relations of different quantities previously defined in the literature, in particular the tie between definitions using a group averaging procedure and those in a deparametrized framework. Finally, we draw some conclusions about the physics of a single quantum universe (where there exist superselection rules on positive- and negative-frequency sectors and different choices of inner product are physically equivalent) and multiverse field theories where the role of these sectors and the inner product are reinterpreted.