ar 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 ∗
نویسندگان
چکیده
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 manifold coupled to NX scalar fields and NA U(1) gauge fields. The numerical results suggest that 4D simplicial quantum gravity (SQG) can be reached to the continuum theory of 4D QG. We discuss the significant property of 4D SQG.
منابع مشابه
ar X iv : h ep - l at / 0 01 00 50 v 1 2 7 O ct 2 00 0 Geometry of 4 d Simplicial Quantum Gravity with a U ( 1 ) Gauge Field ∗
The geometry of 4D simplicial quantum gravity with a U(1) gauge field is studied numerically. The phase diagram shows a continuous transition when gravity is coupled with a U(1) gauge field. At the critical point measurements of the curvature distribution of S 4 space shows an inflated geometry with homogeneous and symmetric nature. Also, by choosing a 4-simplex and fixing the scalar curvature ...
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