Heidelberg 2007 – wissenschaftliches Programm

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 2: Nichtkommutative Geometrie, Quantengravitation und Differenzialgeometrie

MP 2.4: Vortrag

Dienstag, 6. März 2007, 15:30–16:00, KIP SR 1.403

Lessons from loop quantisation of the string — •Robert Helling — School for Engineering and Science, International University Bremen, Bremen

We review parallels and differences between the Fock and loop gravity inspired quantisation of the world sheet theory of the bosonic string. Special attention is paid to the distiction between invariance and covariance of the GNS reference state. The loop approach avoids the Stone-von-Neumann theorem by resorting to discontiniuous representations of the Weyl algebra. We discuss consequences in the example of absorption spectra of harmonic oscillators. This leads to speculations about genaralisations to the loop approach to quantum gravity.