Noncomputability arising in dynamical triangulation model of four-dimensional Quantum Gravity
نویسندگان
چکیده
منابع مشابه
Numerical Quantum Gravity by Dynamical Triangulation
Recently an alternate technique for numerical quantum gravity, dynamical triangulation, has been developed. In this method, the geometry is varied by adding and subtracting equilateral simplices from the simplicial complex. This method overcomes certain difficulties associated with the traditional approach in Regge calculus of varying geometry by varying edge lengths. However additional complic...
متن کاملCausal Dynamical Triangulation of Quantum Gravity in Three Dimensions
The theory of causal dynamical triangulation in (2+1) dimensions is studied through the help of Monte Carlo simulations. The basic ideas behind this particular approach to quantum gravity are outlined in the paper. The numerical setup and the results from the simulations are presented and discussed. Based on the numerical results, the theory is shown to possess a non-trivial classical limit. Th...
متن کاملRemarks on the quantum gravity interpretation of 4D dynamical triangulation
Here the path integral is over real metrics modulo coordinate transformations, G denotes a renormalized Newton constant and the · · · indicate higher derivative terms like R, etc. There may also be nonlocal terms related to the conformal anomaly [2]. The integral over μ produces the volume fixing delta function δ( ∫ dx √ g − V ). If this integral were done in the saddle point approximation, the...
متن کاملWilson loops in four-dimensional quantum gravity.
A Wilson loop is defined, in 4-D pure Einstein gravity, as the trace of the holonomy of the Christoffel connection or of the spin connection, and its invariance under the symmetry transformations of the action is showed (diffeomorphisms and local Lorentz transformations). We then compute the loop perturbatively, both on a flat background and in the presence of an external source; we also allow ...
متن کاملScaling in Four Dimensional Quantum Gravity
We discuss scaling relations in four dimensional simplicial quantum gravity. Using numerical results obtained with a new algorithm called \baby universe surgery" we study the critical region of the theory. The position of the phase transition is given with high accuracy and some critical exponents are measured. Their values prove that the transition is continuous. We discuss the properties of t...
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: Communications in Mathematical Physics
سال: 1993
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf02098020