ar X iv : h ep - l at / 9 70 90 99 v 1 2 4 Se p 19 97 Common Structures in 2 , 3 and 4 D Simplicial Quantum Gravity ∗
نویسندگان
چکیده
Two kinds of statistical properties of dynamical-triangulated manifolds (DT mfds) have been investigated. First, the surfaces appearing on the boundaries of 3D DT mfds were investigated. The string-susceptibility exponent of the boundary surfaces (˜ γst) of 3D DT mfds with S 3 topology near to the critical point was obtained by means of a MINBU (minimum neck baby universes) analysis; actually, we obtained˜γst ≈ −0.5. Second, 3 and 4D DT mfds were also investigated by determining the string-susceptibility exponent near to the critical point from measuring the MINBU distributions. As a result, we found a similar behavior of the MINBU distributions in 3 and 4D DT mfds, and obtained γ (3) st ≈ γ (4) st ≈ 0. The existence of common structures in simplicial quantum gravity is also discussed.
منابع مشابه
ar X iv : h ep - l at / 9 70 90 25 v 1 1 0 Se p 19 97 The Quantum Spacetime of c > 0 2 d Gravity
We review recent developments in the understanding of the fractal properties of quantum spacetime of 2d gravity coupled to c > 0 conformal matter. In particular we discuss bounds put by numerical simulations using dynamical triangulations on the value of the Hausdorff dimension dH obtained from scaling properties of two point functions defined in terms of geodesic distance. Further insight to t...
متن کاملar X iv : h ep - l at / 9 60 81 49 v 2 1 2 Se p 19 96 Scaling Structures in Four - dimensional Simplicial Gravity ∗
Four-dimensional(4D) spacetime structures are investigated using the concept of the geodesic distance in the simplicial quantum gravity. On the analogy of the loop length distribution in 2D case, the scaling relations of the boundary volume distribution in 4D are discussed in various coupling regions i.e. strong-coupling phase, critical point and weak-coupling phase. In each phase the different...
متن کاملar X iv : h ep - l at / 9 90 80 48 v 2 6 S ep 1 99 9 Phase Transition of 4 D Simplicial Quantum Gravity with U ( 1 ) Gauge
The phase transition of 4D simplicial quantum gravity coupled to U (1) gauge fields is studied using Monte-Carlo simulations. The phase transition of the dynamical triangulation model with a vector field (NV = 1) is smooth compared with pure gravity(NV = 0). The node susceptibility (χ) is studied by the finite size scaling method. At the critical point, the node distribution has a sharp peak in...
متن کاملar X iv : h ep - l at / 9 70 90 90 v 1 2 3 Se p 19 97 1 Quenched Chiral Perturbation Theory to one loop ∗
The divergences of the generating functional of quenched Chiral Perturbation theory (qCHPT) to one loop are computed in closed form. We show how the quenched chiral logarithms can be reabsorbed in the renormalization of the B0 parameter of the leading order Lagrangian. Finally, we do the chiral power counting for the quenched case and show that also finite loop corrections may diverge in the ch...
متن کاملar X iv : h ep - l at / 0 20 90 04 v 1 1 S ep 2 00 2 Grand - Canonical simulation of 4 D simplicial quantum gravity ∗
A thorough numerical examination for the field theory of 4D quantum gravity (QG) with a special emphasis on the conformal mode dependence has been studied. More clearly than before, we obtain the string susceptibility exponent of the partition function by using the Grand-Canonical Monte-Carlo method. Taking thorough care of the update method, the simulation is made for 4D Euclidean simplicial m...
متن کامل