Asymptotic analysis of spin foam amplitude with timelike triangles

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Details zur Publikation

Autorinnen und Autoren: Liu H, Han M
Zeitschrift: Physical Review D
Jahr der Veröffentlichung: 2019
Band: 99
Heftnummer: 8
ISSN: 2470-0010
eISSN: 2470-0029


Abstract

The large-j asymptotic behavior of the four-dimensional spin foam amplitude is investigated for the extended spin foam model (Conrady-Hnybida extension) on a simplicial complex. We study the most general situation in which timelike tetrahedra with timelike triangles are taken into account. The large-j asymptotic behavior is determined by the critical configurations of the amplitude. We identify the critical configurations that correspond to the Lorentzian simplicial geometries with timelike tetrahedra and triangles. Their contributions to the amplitude are asymptotic phases, whose exponents equal the Regge action of gravity. The amplitude may also contains critical configurations corresponding to nondegenerate split signature 4-simplices and degenerate vector geometries. But vertex amplitudes containing at least one timelike and one spacelike tetrahedra only give Lorentzian 4-simplices, while the split signature or degenerate 4-simplex does not appear.


FAU-Autorinnen und Autoren / FAU-Herausgeberinnen und Herausgeber

Han, Muxin Dr.
Lehrstuhl für Theoretische Physik


Einrichtungen weiterer Autorinnen und Autoren

Centre de Physique Théorique


Zitierweisen

APA:
Liu, H., & Han, M. (2019). Asymptotic analysis of spin foam amplitude with timelike triangles. Physical Review D, 99(8). https://dx.doi.org/10.1103/PhysRevD.99.084040

MLA:
Liu, Hongguang, and Muxin Han. "Asymptotic analysis of spin foam amplitude with timelike triangles." Physical Review D 99.8 (2019).

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Zuletzt aktualisiert 2019-27-05 um 08:38

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