Hamiltonian Renormalisation and its Application to (Loop) Quantum Gravity

by Klaus Liegener (University of Hamburg)

Thursday 19 Mar 2020, 14:15 → 16:15 Europe/Berlin

Abbeanum SR 102

The direct Hamiltonian Renormalisation Group (RG) is a proposal aiming at the construction of continuum Quantum Field Theories. It is designed to share many similarities with the canonical data of the well-established covariant RG flow. Once a fixed pointed family of Hilbert spaces and Hamiltonian operators thereon is found, a continuum QFT can be obtained via the methods of inductive limits. We present how this can in principle be achieved and what the main challenges are before the programme can be applied to Quantum Gravity. Further, we discuss established tools (i.e. effective dynamics of coherent states) due to which we expect to draw phenomenological/cosmological predictions from the fixed pointed theory. In a preliminary example the computations on coherent states predict the resolution of the initial cosmological singularity via a "big bounce".