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Title A mathematical introduction to string theory : variational problems, geometric and probabilistic methods / Sergio Albeverio ... [and others].

Published Cambridge ; New York : Cambridge University Press, [1997]


Location Call No. Status
Physical description viii, 135 pages ; 23 cm.
Series London Mathematical Society lecture note series ; 225.
London Mathematical Society lecture note series ; 225.
Bibliography Includes bibliographical references (pages 126-132) and index.
Contents I.1 Two-dimensional Plateau problem 7 -- I.2 Topological and metric structures on the space of mappings and metrics 11 -- Appendix to I.2 ILH-structures 17 -- I.3 Harmonic maps and global structures 21 -- I.4 Cauchy-Riemann operators 31 -- I.5 Zeta-function and heat-kernel determinants of an operator 36 -- I.6 Faddeev-Popov procedure 41 -- I.6.1 Faddeev-Popov map 41 -- I.6.2 Faddeev-Popov determinant: the case G=H 44 -- I.6.3 Faddeev-Popov determinant: the general case 46 -- I.7 Determinant bundles 48 -- I.8 Chern classes of determinant bundles 59 -- I.9 Gaussian measures and random fields 66 -- I.10 Functional quantization of the H[phis]egh-Krohn and Liouville models on a compact surface 75 -- I.11 Small time asymptotics for heat-kernel regularized determinants 85 -- II.1 Quantization by functional integrals 92 -- II.2 Polyakov measure 96 -- II.3 Formal Lebesgue measures on Hilbert spaces 101 -- II.4 Gaussian integration on the space of embeddings 106 -- II.5 Faddeev-Popov procedure for bosonic strings 109 -- II.6 Polyakov measure in noncritical dimension and the Liouville measure 113 -- II.7 Polyakov measure in the critical dimension d=26 117 -- II.8 Correlation functions 122.
Other author Albeverio, Sergio.
London Mathematical Society.
Subject String models -- Mathematics.
Mathematical physics.
ISBN 0521556104 (pb)