The Hessian in Spin Foam Models-Reference-Cited by-同舟云学术

The Hessian in Spin Foam Models

Published:2019-09-13 Issue:12 Volume:20 Page:3927-3953
ISSN:1424-0637
Container-title:Annales Henri Poincaré
language:en
Short-container-title:Ann. Henri Poincaré

Author:

Kamiński Wojciech^ORCID,Sahlmann Hanno

Abstract

Abstract We fill one of the remaining gaps in the asymptotic analysis of the vertex amplitudes of the Engle–Pereira–Rovelli–Livine (EPRL) spin foam models: We show that the Hessian is nondegenerate for the stationary points that corresponds to geometric nondegenerate 4 simplices. Our analysis covers the case when all faces are spacelike.

Funder

University of Warsaw

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Nuclear and High Energy Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/s00023-019-00839-7.pdf

Reference21 articles.

1. Engle, J., Livine, E., Pereira, R., Rovelli, C.: LQG vertex with finite Immirzi parameter. Nucl. Phys. B 799, 136 (2008)

2. Freidel, L., Krasnov, K.: A new spin foam model for 4d gravity. Class. Quantum Gravity 25, 125018 (2008)

3. Conrady, F., Hnybida, J.: A spin foam model for general lorentzian 4-geometries. Class. Quantum Gravity 27, 185011 (2010)

4. Conrady, F., Freidel, L.: Semiclassical limit of 4-dimensional spin foam models. Phys. Rev. D 78, 104023 (2008)

5. Barrett, J.W., Dowdall, R.J., Fairbairn, W.J., Gomes, H., Hellmann, F., Pereira, R.: Asymptotics of 4d spin foam models. Gen. Relativ. Gravit. 43, 2421 (2011)

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