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| Title: | A 4d Lorentzian Spin Foam Model With Timelike Surfaces |
| Authors: | Hnybida, Jeffrey |
| Keywords: | Quantum Gravity
Spin Foam |
| Approved Date: | 7-Oct-2010 |
| Date Submitted: | 2010 |
| Abstract: | We 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. |
| Program: | Physics |
| Department: | Physics and Astronomy |
| Degree: | Master of Science |
| URI: | http://hdl.handle.net/10012/5593 |
| Appears in Collections: | Electronic Theses and Dissertations (UW)
Faculty of Science Theses and Dissertations
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