TY - JOUR
T1 - Singular structure in 4D simplicial gravity
AU - Catterall, S.
AU - Renken, R.
AU - Kogut, J.
N1 - Funding Information:
In summary, we have reported numerical results which strongly support the idea that the phase transition observed in 4d simplicial gravity is associated with the creation of singular geometries. These singular structures, composed of a single singular link between two singular vertices, dominate at strong coupling. As the coupling is decreased they eventually disappear. This process appears to be discontinuous and is the origin of the first order nature of the transition. Simple mean field arguments support these conclusions.This work was supported in part by NSF Grant PHY-9503371 and DOE Grant DE-FG02-85ER40237. We acknowledge useful conversations with B. Petersson.
PY - 1998/1/8
Y1 - 1998/1/8
N2 - We show that the phase transition previously observed in dynamical triangulation models of quantum gravity can be understood as being due to the creation of a singular link. The transition between singular and non-singular geometries as the gravitational coupling is varied appears to be first order.
AB - We show that the phase transition previously observed in dynamical triangulation models of quantum gravity can be understood as being due to the creation of a singular link. The transition between singular and non-singular geometries as the gravitational coupling is varied appears to be first order.
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U2 - 10.1016/S0370-2693(97)01349-X
DO - 10.1016/S0370-2693(97)01349-X
M3 - Article
AN - SCOPUS:0346909247
SN - 0370-2693
VL - 416
SP - 274
EP - 280
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 3-4
ER -