منابع مشابه
Topology in 4d Simplicial Quantum Gravity
We simulate 4d simplicial gravity for three topologies S, S S and S S S S and show that the free energy for these three xed topology ensembles is the same in the thermodynamic limit N4 !1. We show, that the next-to-leading order corrections, at least away from the critical point, can be described by kinematic sources.
متن کاملScaling Behavior in 4D Simplicial Quantum Gravity
Scaling relations in four-dimensional simplicial quantum gravity are proposed using the concept of the geodesic distance. Based on the analogy of a loop length distribution in the two-dimensional case, the scaling relations of the boundary volume distribution in four dimensions are discussed in three regions: the strong-coupling phase, the critical point and the weak-coupling phase. In each pha...
متن کاملPhase transition and topology in 4d simplicial gravity
Permanent address: Institute of Physics, Jagellonian University, ul. Reymonta 4, 30-059 Kraków, Poland Laboratoire associé au CNRS. whether this finding does not reflect a deficiency of the simulation set-up. As it is an important question, we have decided to check it in more detail. The result of this investigation is presented in sect. 2 of this communication. In sect. 3 we also present some ...
متن کاملCrumpled Triangulations and Critical Points in 4D simplicial quantum gravity
We estimate analytically the critical coupling separating the weak and the strong coupling regime in 4D simplicial quantum gravity to be located at kcrit 2 ≃ 1.3093. By carrying out a detailed geometrical analysis of the strong coupling phase we argue that the distribution of dynamical triangulations with singular vertices, dominating in such a regime, is characterized by distinct sub-dominatin...
متن کامل4D simplicial quantum gravity with a nontrivial measure.
We study 4d simplicial quantum gravity in the dynamical triangulation approach with a non-trivial class of measures. We find that the measure contribution plays an important role, influencing the phase diagram and the nature of the (possible) critical theory. We discuss how the lattice theory could be used to fix the quantum measure in a non-ambiguous
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 1997
ISSN: 0370-2693
DOI: 10.1016/s0370-2693(97)00047-6