Hamburg 2016 – wissenschaftliches Programm

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GR: Fachverband Gravitation und Relativitätstheorie

GR 17: Quantum Gravity IV

GR 17.5: Vortrag

Freitag, 4. März 2016, 12:35–12:55, VMP6 HS A

Heat kernel coherent states for SU(3) gauge theories in the loop quantum gravity framework — •Thorsten Lang — Friedrich-Alexander Universität Erlangen-Nürnberg

At the heart of loop quantum gravity lies a framework for the diffeomorphism invariant quantization of gauge theories. The Hilbert spaces consist of states that carry representations of the corresponding gauge groups on their edges. In order to probe the semiclassical properties of a quantum gauge theory in this framework, a method for the construction of coherent states, based on an earlier construction by Hall that makes use of the heat kernel on compact connected semisimple Lie groups, was proposed by Thiemann. These states are expected to satisfy many desirable semiclassical properties, some of which need to be studied on a case by case basis. While the construction was carried out and the semiclassical properties were studied in the case of U(1) for the electromagnetic sector and SU(2), which is relevant for the gravitational and electroweak sectors, the remaining group of immediate physical interest is SU(3), which is the gauge group of quantum chromodynamics. We present our construction of the states for this group and discuss our progress on establishing their peakedness properties.