000 02684nam a22003978i 4500
001 CR9780511524417
003 UkCbUP
005 20200124160233.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090402s1997||||enk o ||1 0|eng|d
020 _a9780511524417 (ebook)
020 _z9780521461672 (hardback)
020 _z9780521017367 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQC174.17.G46
_bA43 1997
082 0 0 _a530.143
_221
100 1 _aAmbjørn, Jan,
_eauthor.
245 1 0 _aQuantum geometry :
_ba statistical field theory approach /
_cJan Ambjørn, Bergfinnur Durhuus, Thordur Jonsson.
264 1 _aCambridge :
_bCambridge University Press,
_c1997.
300 _a1 online resource (xiv, 363 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge monographs on mathematical physics
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 0 _g1.
_tIntroduction --
_g2.
_tRandom walks --
_g3.
_tRandom surfaces --
_g4.
_tTwo-dimensional gravity --
_g5.
_tMonte Carlo simulations of random geometry --
_g6.
_tGravity in higher dimensions --
_g7.
_tTopological quantum field theories.
520 _aThis 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 scaling limits at phase transition points and the relation to conformal quantum field theories coupled to quantum gravity is described. The most important numerical work is covered, but the main aim is to develop mathematically precise results that have wide applications. Many diagrams and references are included.
650 0 _aGeometric quantization.
650 0 _aQuantum field theory.
700 1 _aDurhuus, Bergfinnur J.,
_eauthor.
700 0 _aÞórður Jónsson,
_eauthor.
776 0 8 _iPrint version:
_z9780521461672
830 0 _aCambridge monographs on mathematical physics.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511524417
999 _c517765
_d517763