Show simple item record

dc.contributor.authorHnybida, Jeffrey 18:19:40 (GMT) 18:19:40 (GMT)
dc.description.abstractWe construct a 4d Lorentzian spin foam model capable of describing both spacelike and timelike surfaces. To do so we use a coherent state approach inspired by the Riemannian FK model. Using the coherent state method we reproduce the results of the EPRL model for Euclidean tetrahedra and extend the model to include Lorentzian tetrahedra. The coherent states of spacelike/timelike triangles are found to correspond to elements of the discrete/continuous series of SU(1,1). It is found that the area spectrum of both spacelike and timelike surfaces is quantized. A path integral for the quantum theory is defined as a product of vertex amplitudes. The states corresponding to timelike triangles are constructed in a basis diagonalised with respect to a noncompact generator. A derivation of the matrix elements of the generators of SL(2,C) in this basis is provided.en
dc.publisherUniversity of Waterlooen
dc.subjectQuantum Gravityen
dc.subjectSpin Foamen
dc.titleA 4d Lorentzian Spin Foam Model With Timelike Surfacesen
dc.typeMaster Thesisen
dc.subject.programPhysicsen and Astronomyen
uws-etd.degreeMaster of Scienceen

Files in this item


This item appears in the following Collection(s)

Show simple item record


University of Waterloo Library
200 University Avenue West
Waterloo, Ontario, Canada N2L 3G1
519 888 4883

All items in UWSpace are protected by copyright, with all rights reserved.

DSpace software

Service outages