Asymptotic analysis of the EPRL model with timelike tetrahedra

Sahlmann H, Kaminski W, Kisielowski M (2018)

Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2018

Journal

Classical and Quantum Gravity Institute of Physics: Hybrid Open Access

Publisher: IOP PUBLISHING LTD

Book Volume: 35

Journal Issue: 13

DOI: 10.1088/1361-6382/aac6a4

Abstract

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.

Authors with CRIS profile

Hanno Sahlmann Professur für Theoretische Physik Marcin Kisielowski Chair for Theoretical Physics III (Quantum Gravity)

Involved external institutions

University of Warsaw / Uniwersytet Warszawski PL Poland (PL)

How to cite

APA:

Sahlmann, H., Kaminski, W., & Kisielowski, M. (2018). Asymptotic analysis of the EPRL model with timelike tetrahedra. Classical and Quantum Gravity, 35(13). https://dx.doi.org/10.1088/1361-6382/aac6a4

MLA:

Sahlmann, Hanno, Wojciech Kaminski, and Marcin Kisielowski. "Asymptotic analysis of the EPRL model with timelike tetrahedra." Classical and Quantum Gravity 35.13 (2018).

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