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Mathematical Introduction to String Theory Variational Problems, Geometric and Probabilistic Methods

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ISBN-10: 0521556104

ISBN-13: 9780521556101

Edition: 1997

Authors: Sergio Albeverio, Sylvie Paycha, Sergio Scarlatti, J. W. S. Cassels, J�rgen Jost

List price: $59.99
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In this lecture note the authors give an introduction to certain global analytical and probabilistic aspects of string theory. It is their intention to bring together and make explicit the necessary mathematical tools.
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Book details

List price: $59.99
Copyright year: 1997
Publisher: Cambridge University Press
Publication date: 7/17/1997
Binding: Paperback
Pages: 144
Size: 6.25" wide x 9.25" long x 0.25" tall
Weight: 0.440
Language: English

The two-dimensional Plateau problem
Topological and metric structures on the space of mappings and metrics
Harmonic maps and global structures
Cauchy-Riemann operators
Zeta-function and heat-kernel determinants of an operator
The Faddeev-Popov procedure
The Faddeev-Popov map
The Faddeev-Popov determinant: the case G=H
The Faddeev-Popov determinant: the general case
Determinant bundles
Chern classes of determinant bundles
Gaussian measures and random fields
Functional quantization of the H[phis]egh-Krohn and Liouville models on a compact surface
Small time asymptotics for heat-kernel regularized determinants
Quantization by functional integrals
The Polyakov measure
Formal Lebesgue measures on Hilbert spaces
The Gaussian integration on the space of embeddings
The Faddeev-Popov procedure for bosonic strings
The Polyakov measure in noncritical dimension and the Liouville measure
The Polyakov measure in the critical dimension d=26
Correlation functions