Asymptotic analysis of the EPRL model with timelike tetrahedra

Journal article
(Original article)


Publication Details

Author(s): Sahlmann H, Kaminski W, Kisielowski M
Journal: Classical and Quantum Gravity
Publisher: IOP PUBLISHING LTD
Publication year: 2018
Volume: 35
Journal issue: 13
ISSN: 0264-9381
Language: English


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.


FAU Authors / FAU Editors

Kisielowski, Marcin Dr.
Lehrstuhl für Theoretische Physik
Sahlmann, Hanno Prof. Dr.
Professur für Theoretische Physik


External institutions
University of Warsaw / Uniwersytet Warszawski


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).

BibTeX: 

Last updated on 2019-03-01 at 20:10