Asymptotic analysis of the EPRL model with timelike tetrahedra

We study the asymptotic behaviour of the vertex amplitude for the EPRL spin foam model extended to include timelike tetrahedra. We analyze both, tetrahedra of signature  −−− (standard EPRL), as well as of signature  +−− (Hnybida-Conrady extension), in a unified fashion. However, we assume all faces...

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Bibliographic Details
Published inClassical and quantum gravity Vol. 35; no. 13; pp. 135012 - 135093
Main Authors Kami ski, Wojciech, Kisielowski, Marcin, Sahlmann, Hanno
Format Journal Article
LanguageEnglish
Published IOP Publishing 12.07.2018
Subjects
EPRL model
large spin limit
quantum gravity
spin foam
stationary phase analysis
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Summary:We study the asymptotic behaviour of the vertex amplitude for the EPRL spin foam model extended to include timelike tetrahedra. We analyze both, tetrahedra of signature  −−− (standard EPRL), as well as of signature  +−− (Hnybida-Conrady extension), in a unified fashion. However, we assume all faces to be of signature  −−. We find that the critical points of the extended model are described again by 4-simplices and the phase of the amplitude is equal to the Regge action. Interestingly, in addition to the Lorentzian and Euclidean sectors there appear also split signature 4-simplices.
Bibliography:CQG-104881
ISSN:0264-9381
1361-6382
DOI:10.1088/1361-6382/aac6a4