Euclidean Quantum Gravity on Manifolds with Boundary by Giampiero EspositoEuclidean Quantum Gravity on Manifolds with Boundary by Giampiero Esposito

Euclidean Quantum Gravity on Manifolds with Boundary

byGiampiero Esposito, A.Yu. Kamenshchik, G. Pollifrone

Paperback | October 14, 2012

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This book reflects our own struggle to understand the semiclassical behaviour of quantized fields in the presence of boundaries. Along many years, motivated by the problems of quantum cosmology and quantum field theory, we have studied in detail the one-loop properties of massless spin-l/2 fields, Euclidean Maxwell the­ ory, gravitino potentials and Euclidean quantum gravity. Hence our book begins with a review of the physical and mathematical motivations for studying physical theories in the presence of boundaries, with emphasis on electrostatics, vacuum v Maxwell theory and quantum cosmology. We then study the Feynman propagator in Minkowski space-time and in curved space-time. In the latter case, the corre­ sponding Schwinger-DeWitt asymptotic expansion is given. The following chapters are devoted to the standard theory of the effective action and the geometric im­ provement due to Vilkovisky, the manifestly covariant quantization of gauge fields, zeta-function regularization in mathematics and in quantum field theory, and the problem of boundary conditions in one-loop quantum theory. For this purpose, we study in detail Dirichlet, Neumann and Robin boundary conditions for scalar fields, local and non-local boundary conditions for massless spin-l/2 fields, mixed boundary conditions for gauge fields and gravitation. This is the content of Part I. Part II presents our investigations of Euclidean Maxwell theory, simple super­ gravity and Euclidean quantum gravity.
Title:Euclidean Quantum Gravity on Manifolds with BoundaryFormat:PaperbackDimensions:322 pagesPublished:October 14, 2012Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9401064520

ISBN - 13:9789401064521


Table of Contents

Preface. Part I: General Formalism. 1. The Role of Boundaries in Modern Physics. 2. Schwinger-De Witt Asymptotic Expansion. 3. Effective Action in Quantum Field Theory. 4. Covariant Quantization of Gauge Theories. 5. The Zeta-Function. 6. Boundary Conditions. Part II: Gauge Fields and Gravitation. 7. Euclidean Maxwell Theory. 8. Simple Supergravity. 9. Euclidean Quantum Gravity. Bibliography. Subject Index.