03771nmm a2200421 u 4500001001200000003002700012005001700039007002400056008004100080020001800121100002400139245011300163250001700276260006300293300003400356505066800390653002001058653002201078653001601100653004801116653001601164653004301180653002001223653001301243653005701256653003101313653002901344653003601373653001301409653001701422710003401439041001901473989003801492490004001530856007201570082001101642520169601653EB000657775EBX0100000000000000051085700000000000000.0cr|||||||||||||||||||||140122 ||| eng a97835404729571 aEsposito, Giampiero00aQuantum Gravity, Quantum Cosmology and Lorentzian GeometrieshElektronische Ressourcecby Giampiero Esposito a2nd ed. 1994 aBerlin, HeidelbergbSpringer Berlin Heidelbergc1994, 1994 aXVIII, 354 pbonline resource0 aQuantum Gravity -- Quantum Gravity, Quantum Cosmology and Classical Gravity -- Canonical Quantum Gravity -- Perturbative Quantum Gravity -- One-Loop Quantum Cosmology -- Global Boundary Conditions and ?(0) Value for the Massless Spin-1/2 Field -- Choice of Boundary Conditions in One-Loop Quantum Cosmology -- Ghost Fields and Gauge Modes in One-Loop Quantum Cosmology -- Local Boundary Conditions for the Weyl Spinor -- One-Loop Results for the Spin-1/2 Field with Local Boundary Conditions -- Local Supersymmetry in Perturbative Quantum Cosmology -- Classical Graviety -- Lorentzian Geometry, U4 Theories and Singularities in Cosmology -- Summary -- Conclusions aQuantum Physics aQuantum computers aSpintronics aQuantum Information Technology, Spintronics aGravitation aAstronomy, Observations and Techniques aQuantum physics aGeometry aClassical and Quantum Gravitation, Relativity Theory aObservations, Astronomical aAstronomy—Observations aAstrophysics and Astroparticles aGeometry aAstrophysics2 aSpringerLink (Online service)07aeng2ISO 639-2 bSBAaSpringer Book Archives -20040 aLecture Notes in Physics Monographs uhttps://doi.org/10.1007/978-3-540-47295-7?nosfx=yxVerlag3Volltext0 a530.12 aThis 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