Heidelberg 2022 – scientific programme

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GR: Fachverband Gravitation und Relativitätstheorie

GR 12: Quantum gravity (joint session MP/GR)

GR 12.1: Invited Talk

Thursday, March 24, 2022, 11:00–11:30, MP-H5

Reduced phase space quantisation in Loop quantum gravity and loop quantum cosmology — •Kristina Giesel¹, Bao-Fei Li², and Parampreet Singh² — ¹Institute for Quantum Gravity, Department of Physics, FAU Erlangen-Nürnberg, Staudtstr. 7, 91058 Erlangen, Germany — ²Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803, USA

In this talk an overview over results that apply a reduced phase space quantisation to formulate the dynamics of loop quantum gravity and loop quantum cosmology will be presented. It will be briefly discussed how a reduced phase space for GR can be derived by coupling additional reference matter. The reduced phase space for GR is taking as a starting point for a loop quantisation either in full LQG or in the symmetry reduced case of LQC. Different choices of reference matter yield in general different quantum models and several existing models will be compared. In the framework of LQC it will be analysed how different choices of reference matter can lead to different physical properties of the models and it will be discussed what kind of conditions appropriate reference matter should satisfy in this context.