Quantum Geometry: A Statistical Field Theory Approach by Ambjorn, Jan New<-

Quantum GeometryA Statistical Field Theory Approach\nAuthor(s): Jan Ambjrn, Bergfinnur Durhuus, Thordur Jonsson\nFormat: Paperback\nPublisher: Cambridge University Press, United Kingdom\nImprint: Cambridge University Press\nISBN-13: 9780521017367, 978-0521017367\nSynopsis\nThis graduate/research level text describes in a unified fashion the statistical mechanics of random walks, random surfaces and random higher dimensional manifolds with an emphasis on the geometrical aspects of the theory and applications to the quantisation of strings, gravity and topological field theory. With chapters on random walks, random surfaces, two- and higher dimensional quantum gravity, topological quantum field theories and Monte Carlo simulations of random geometries, the text provides a self-contained account of quantum geometry from a statistical field theory point of view. The approach uses discrete approximations and develops analytical and numerical tools. Continuum physics is recovered through s.