Simplicial Quantum Gravity and Random Lattices
摘要
Content: 1. Introduction 2. Regge calculus and dynamical triangulations Simplicial manifolds and piecewise linear spaces - dual complex and volume elements - curvature and Regge action - topological invariants - quantum Regge calculus - dynamical triangulations 3. Two dimensional quantum gravity, dynamical triangulations and matrix models continuum formulation - dynamical triangulations and continuum limit - one matrix model - various matrix models - numerical studies - c=1 barrier - intrinsic geometry of 2d gravity - Liouville at c>25 4. Euclidean quantum gravity in three and four dimensions what are we looking for? - 3d simplicial gravity - 4d simplicial gravity - 3d and 4d Regge calculus 5. Non-perturbative problems in two dimensional quantum gravity double scaling limit - string equation - non-perturbative properties of the string equation - divergent series and Borel summability - non-perturbative effects in 2d gravity and string theories - stabilization proposals 6. Conclusion
引用
@article{arxiv.hep-th/9303127,
title = {Simplicial Quantum Gravity and Random Lattices},
author = {F. David},
journal= {arXiv preprint arXiv:hep-th/9303127},
year = {2016}
}
备注
(Lectures given at Les Houches Summer School, July 1992) 63 pages, plain TeX (foreword) + uuencoded tar-compressed PostScript file (main text + figures)