Hamburg 2016 – scientific programme

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GR: Fachverband Gravitation und Relativitätstheorie

GR 3: Quantum Gravity II

GR 3.7: Talk

Monday, February 29, 2016, 18:45–19:05, VMP6 HS A

Towards the Quantum-Yang-Mills Spectrum — •Klaus Liegener — Friedrich-Alexander-Universität, Erlangen, Deutschland

A fundamental quantum theory of all interactions must include the gravitational quantum field. Thus, a quantum gravity theory is needed. With this goal in mind to describe the standard model coupled to gravity, we focus in this work on the quantum Einstein-Yang-Mills sector quantised by the methods of Loop Quantum Gravity (LQG). We point out the improved UV behaviour of the coupled system compared to pure quantum Yang-Mills theory on a fixed classical background spacetime, as was considered in a seminal work by Kogut and Susskind. Furthermore, we develop a calculational scheme by which the fundamental spectrum of the quantum Yang-Mills Hamiltonian can be computed in principle and by which one can make contact to the Wilsonian renormalisation group, possibly purely within the Hamiltonian framework. We extend already established calculations for the SU(2) gauge group to SU(3), meaning that the full standard model can now be tackled with our formalism.