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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Euclidean Quantum Gravity on Manifolds with Boundary (Paperback, Softcover reprint of the original 1st ed. 1997)
Loot Price: R3,137
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Euclidean Quantum Gravity on Manifolds with Boundary (Paperback, Softcover reprint of the original 1st ed. 1997)
Series: Fundamental Theories of Physics, 85
Expected to ship within 10 - 15 working days
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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.
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