منابع مشابه
Is there an exponential bound in four-dimensional simplicial gravity?
We have studied a model which has been proposed as a regularisation for four dimensional quantum gravity. The partition function is constructed by performing a weighted sum over all triangulations of the four sphere. Using numerical simulation we nd that the number of such triangulations containing V simplices grows faster than exponentially with V. This property ensures that the model has no t...
متن کاملOn the exponential bound in four dimensional simplicial gravity
Simplicial quantum gravity has been proposed as a regularization for four dimensional quantum gravity. The partition function is constructed by performing a weighted sum over all triangulations of the 4-sphere. The model is well-defined only if the number of such triangulations consisting of N simplexes is exponentially bounded. Numerical simulations seem so far to favor such a bound. Permanent...
متن کاملInversion of gravity data with an exponential density contrast model
We have derived an analytical expression in the wavenumber domain for calculating the gravity anomaly caused by an exponential density contrast model for an interface (Xia and Sprowl, 1990), above which the density contrast changes exponentially with depth. Constant density contrast and a linear density contrast are specific cases of the exponential density contrast model. The formula should be...
متن کاملMore on the exponential bound of four dimensional simplicial quantum gravity
A crucial requirement for the standard interpretation of Monte Carlo simulations of simplicial quantum gravity is the existence of an exponential bound that makes the partition function well-defined. We present numerical data favoring the existence of an exponential bound, and we argue that the more limited data sets on which recently opposing claims were based are also consistent with the exis...
متن کاملOn the absence of an exponential bound in four dimensional simplicial gravity
We have studied a model which has been proposed as a regularisation for four dimensional quantum gravity. The partition function is constructed by performing a weighted sum over all triangulations of the four sphere. Using numerical simulation we find that the number of such triangulations containing V simplices grows faster than exponentially with V . This property ensures that the model has n...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2009
ISSN: 1550-7998,1550-2368
DOI: 10.1103/physrevd.80.123528