Euclidean Quantum Gravity on Manifolds with Boundary

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, E...

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Bibliographic Details
Main Authors: Esposito, Giampiero, Kamenshchik, A.Yu (Author), Pollifrone, G. (Author)
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 1997, 1997
Edition:1st ed. 1997
Series:Fundamental Theories of Physics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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505 0 |a I: General Formalism -- 1. The Role of Boundaries in Modern Physics -- 2. Schwinger-Dewitt Asymptotic Expansion -- 3. Effective Action in Quantum Field Theory -- 4. Covariant Quantization of Gauge Theories -- 5. The Zeta-Function -- 6. Boundary Conditions -- II: Gauge Fields and Gravitation -- 7. Euclidean Maxwell Theory -- 8. Simple Supergravity -- 9. Euclidean Quantum Gravity 
653 |a Quantum Physics 
653 |a Quantum field theory 
653 |a Gravitation 
653 |a Elementary particles (Physics) 
653 |a Elementary Particles, Quantum Field Theory 
653 |a Quantum physics 
653 |a Mathematical physics 
653 |a Classical and Quantum Gravity 
653 |a Theoretical, Mathematical and Computational Physics 
700 1 |a Kamenshchik, A.Yu  |e [author] 
700 1 |a Pollifrone, G.  |e [author] 
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520 |a 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