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

Name: Mathematical Introduction to String Theory Variational Problems, Geometric and Probabilistic Methods
Price: 49.4 USD
Availability: InStock
ISBN: 9780521556101

ISBN-10: 0521556104

ISBN-13: 9780521556101

Edition: 1997

Authors: Sergio Albeverio, Sylvie Paycha, Sergio Scarlatti, J. W. S. Cassels, Jï¿½rgen Jost

List price: $59.99

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Description:

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.

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




Introduction



The two-dimensional Plateau problem



Topological and metric structures on the space of mappings and metrics



ILH-structures



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


References


Index