Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1998-07-30
Frontiers in Quantum Physics (Springer 1998) pp. 303
Physics
High Energy Physics
High Energy Physics - Lattice
4 pages, 1 figures
Scientific paper
Standard Regge Calculus provides an interesting method to explore quantum gravity in a non-perturbative fashion but turns out to be a CPU-time demanding enterprise. One therefore seeks for suitable approximations which retain most of its universal features. The $Z_2$-Regge model could be such a desired simplification. Here the quadratic edge lengths $q$ of the simplicial complexes are restricted to only two possible values $q=1+\epsilon\sigma$, with $\sigma=\pm 1$, in close analogy to the ancestor of all lattice theories, the Ising model. To test whether this simpler model still contains the essential qualities of the standard Regge Calculus, we study both models in two dimensions and determine several observables on the same lattice size. In order to compare expectation values, e.g. of the average curvature or the Liouville field susceptibility, we employ in both models the same functional integration measure. The phase structure is under current investigation using mean field theory and numerical simulation.
Bittner Elmar
Hauke Alf
Holm Ch.
Janke Wolfhard
Markum Harald
No associations
LandOfFree
Lattice Models of Quantum Gravity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Lattice Models of Quantum Gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lattice Models of Quantum Gravity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-112322