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• W637808566 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." @default.
• W637808566 created "2016-06-24" @default.
• W637808566 creator A5004148950 @default.
• W637808566 date "2010-10-07" @default.
• W637808566 modified "2023-09-26" @default.
• W637808566 title "A 4d Lorentzian Spin Foam Model With Timelike Surfaces" @default.
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• W637808566 hasPublicationYear "2010" @default.
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