A Mathematical Introduction to String Theory : Variational Problems, Geometric and Probabilistic Methods
Sergio. Albeverio
Bok Engelsk 1997 · Electronic books.
| Annen tittel | |
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| Utgitt | Cambridge : Cambridge University Press , 1997
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| Omfang | 1 online resource (146 p.)
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| Opplysninger | Description based upon print version of record.. - Cover; Title; Copyright; Contents; Preface; Dedication; I.0 Introduction; Acknowledgements; I.1 The two-dimensional Plateau problem; I.2 Topological and metric structures on the space of mappings and metrics; Appendix to I.2: ILH-structures; I.3 Harmonic maps and global structures; I.4 Cauchy-Riemann operators; I.5 Zeta-function and heat-kernel determinants of an operator; I.6 The Faddeev-Popov procedure; I.6.1. The Faddeev-Popov map; I.6.2. The Faddeev-Popov determinant: the case G=H; I.6.3. The Faddeev-Popov determinant: the general case; I.7 Determinant bundles. - I.8 Chern classes of determinant bundlesI.9 Gaussian measures and random fields; I.10 Functional quantization of the Hoegh-Krohn and Liouville models on a compact surface; I.11 Small time asymptotics for heat-kernel regularized determinants; II.1 Quantization by functional integrals; II. 2 The Polyakov measure; Step 1: The integration on the space of embeddings; Step 2: The Faddeev-Popov procedure; Step 3: The Polyakov measure in noncritical dimensions and the Liouville measure; Step 4: The Polyakov measure in critical dimension; Step 5: Correlation functions. - II.3 Formal Lebesgue measures on Hilbert spacesII.4 The Gaussian integration on the space of embeddings; II.5 The Faddeev-Popov procedure for bosonic strings; II.6 The Polyakov measure in noncritical dimension and the Liouville measure; II.7 The Polyakov measure in the critical dimension d = 26; II.8 Correlation functions; References; Index. - This book deals with the mathematical aspects of string theory.
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| Emner | |
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| Dewey | |
| ISBN | 0521556104
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