scholarly journals (2+1)-dimensional quantum gravity as the continuum limit of causal dynamical triangulations

2007 ◽  
Vol 76 (10) ◽  
Author(s):  
D. Benedetti ◽  
R. Loll ◽  
F. Zamponi
2016 ◽  
Vol 94 (4) ◽  
Author(s):  
J. Ambjørn ◽  
Z. Drogosz ◽  
J. Gizbert-Studnicki ◽  
A. Görlich ◽  
J. Jurkiewicz ◽  
...  

2008 ◽  
Vol 665 (4) ◽  
pp. 252-256 ◽  
Author(s):  
J. Ambjørn ◽  
R. Loll ◽  
Y. Watabiki ◽  
W. Westra ◽  
S. Zohren

1992 ◽  
Vol 07 (18) ◽  
pp. 1651-1660 ◽  
Author(s):  
SIMON DALLEY

The Weingarten lattice gauge model of Nambu-Goto strings is generalized to allow for fluctuations of an intrinsic worldsheet metric through a dynamical quadrilation. The continuum limit is taken for c≤1 matter, reproducing the results of Hermitian matrix models to all orders in the genus expansion. For the compact c=1 case the vortices are Wilson lines, whose exclusion leads to the theory of non-interacting fermions. As a by-product of the analysis one finds the critical behavior of SOS and vertex models coupled to 2D quantum gravity.


2013 ◽  
Vol 22 (09) ◽  
pp. 1330019 ◽  
Author(s):  
JAN AMBJORN ◽  
ANDRZEJ GÖRLICH ◽  
JERZY JURKIEWICZ ◽  
RENATE LOLL

Causal dynamical triangulations provide a nonperturbative regularization of a theory of quantum gravity. We describe how it connects to the asymptotic safety program and to the Hořava–Lifshitz gravity theory and present the most recent results from computer simulations.


2014 ◽  
pp. 723-741 ◽  
Author(s):  
Jan Ambjørn ◽  
Andrzej Görlich ◽  
Jerzy Jurkiewicz ◽  
Renate Loll

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