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Quantum Gravity, Quantum Cosmology and Lorentzian Geometries (Paperback, 2nd ed. 1994. Softcover reprint of the original 2nd ed. 1994)
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Quantum Gravity, Quantum Cosmology and Lorentzian Geometries (Paperback, 2nd ed. 1994. Softcover reprint of the original 2nd ed. 1994)
Series: Lecture Notes in Physics Monographs, 12
Expected to ship within 10 - 15 working days
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This book is aimed at theoretical and mathematical physicists and
mathematicians interested in modern gravitational physics. I have
thus tried to use language familiar to readers working on classical
and quantum gravity, paying attention both to difficult
calculations and to existence theorems, and discussing in detail
the current literature. The first aim of the book is to describe
recent work on the problem of boundary conditions in one-loop
quantum cosmology. The motivation of this research was to under
stand whether supersymmetric theories are one-loop finite in the
presence of boundaries, with application to the boundary-value
problemsoccurring in quantum cosmology. Indeed, higher-loop
calculations in the absence of boundaries are already available in
the litera ture, showing that supergravity is not finite. I
believe, however, that one-loop calculations in the presence of
boundaries are more fundamental, in that they provide a more direct
check of the inconsistency of supersymmetric quantum cosmology from
the perturbative point of view. It therefore appears that
higher-order calculations are not strictly needed, if the one-loop
test already yields negative results. Even though the question is
not yet settled, this research has led to many interesting, new
applications of areas of theoretical and mathematical physics such
as twistor theory in flat space, self-adjointness theory, the
generalized Riemann zeta-function, and the theory of boundary
counterterms in super gravity. I have also compared in detail my
work with results by other authors, explaining, whenever possible,
the origin of different results, the limits of my work and the
unsolved problems."
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