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dc.contributor.authorAllen, Courtney 17:38:01 (GMT) 17:38:01 (GMT)
dc.description.abstractThe use of numerical methods in loop quantum gravity is still relatively untapped. Numerical methods are, however, a useful tool, and offer access to regimes that are as of yet inaccessible by analytical methods. This thesis offers an example of this utility by presenting numerical methods for computing the vertex amplitude of a spinfoam model composed of cuboid intertwiners. The vertex amplitude has a known analytical solution in the semi-classical regime, but no known analytical solution in the purely quantum regime. These numerical methods, therefore, allow for an examination of the transition between the quantum and semi-classical regimes, and provide a foundation for future numerical methods in loop quantum gravity.en
dc.publisherUniversity of Waterlooen
dc.subjectloop quantum gravityen
dc.subjectnumerical methodsen
dc.subjectEPRL spinfoamen
dc.subjectvertex amplitudeen
dc.subjectcuboid intertwinersen
dc.titleUsing numerics to explore the EPRL spinfoam amplitudeen
dc.typeMaster Thesisen
dc.pendingfalse Mathematicsen Mathematicsen of Waterlooen
uws-etd.degreeMaster of Mathematicsen
uws.contributor.advisorGirelli, Florian
uws.contributor.affiliation1Faculty of Mathematicsen

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