Euclidean Quantum Gravity on Manifolds with Boundary (Paperback, Softcover reprint of the original 1st ed. 1997)

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.

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	Fundamental Theories of Physics, 85
Release date:	October 2012
First published:	1997
Authors:	Giampiero Esposito • A. Yu Kamenshchik • G. Pollifrone
Dimensions:	235 x 155 x 18mm (L x W x T)
Format:	Paperback
Pages:	322
Edition:	Softcover reprint of the original 1st ed. 1997
ISBN-13:	978-9401064521
Categories:	Books > Science & Mathematics > Mathematics > Applied mathematics > General Books > Science & Mathematics > Physics > Relativity physics > General Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics) > General
LSN:	9401064520
Barcode:	9789401064521

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