Criticality and scaling in 4D quantum gravity
نویسندگان
چکیده
منابع مشابه
Scaling 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 کاملCriticality and Scaling in 4 D Quantum Gravity ⋆
We present a simple argument which determines the critical value of the anomaly coefficient in four dimensional conformal factor quantum gravity, at which a phase transition between a smooth and elongated phase should occur. The argument is based on the contribution of singular configurations (“spikes”) which dominate the partition function in the infrared. The critical value is the analog of c...
متن کاملScaling in quantum gravity
The 2-point function is the natural object in quantum gravity for extracting critical behavior: The exponential fall off of the 2-point function with geodesic distance determines the fractal dimension dH of space-time. The integral of the 2-point function determines the entropy exponent γ, i.e. the fractal structure related to baby universes, while the short distance behavior of the 2-point fun...
متن کاملSelf-organized criticality in quantum gravity
We study a simple model of spin network evolution motivated by the hypothesis that the emergence of classical space-time from a discrete microscopic dynamics may be a self-organized critical process. Self organized critical systems are statistical systems that naturally evolve without fine tuning to critical states in which correlation functions are scale invariant. We study several rules for e...
متن کاملTopology 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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physics Letters B
سال: 1997
ISSN: 0370-2693
DOI: 10.1016/s0370-2693(96)01663-2