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Quantum Fields in Curved Space N. D. Birrell, P. C. W. Davies
Publisher: Cambridge University Press

Based on a set of As quantum field theories possess infinitely many degrees of freedom, many unitarily inequivalent Hilbert space representations exist and the power of such approach is the ability to treat them all in a coherent manner. If it is a graviton field then it is not the curvature of space-time but the interaction of the graviton force particles. His monograph on Quantum Fields in Curved Space, remains a seminal text in the field of quantum gravity. Peter: Have you by any chance read this paper by Robert Wald “The Formulation of Quantum Field Theory in Curved Spacetime.” http://arxiv.org/abs/0907.0416 ? Uniting gravity theory with quantum theory is a major goal of 21st-Century physics, . This has physicists puzzled, "Then we move it close to Earth's gravitational field, and because of the curvature of space, there is a probability of that electron jumping from the first level to the second. The Field Equations control the curvature of space-time and represent our theory of gravity, while the Yang-Mills and Dirac equations represent the theory of particle interactions on a quantum level. Excitations of the gravitation field give rise to the notion of length, are and volume ie.. This test with observing radio data from dstant quasars lensed by the solar gravity field puts gamma as unity to four orders of magnitude. The second input is to take some spacetime manifold (like flat Minkowski space or something more curved) and attach a C*-algebra to each open subset in a compatible way. Goal of this review is to introduce the algebraic approach to quantum field theory on curved backgrounds. If one measures the weight of quantum objects, such as a hydrogen atom, often enough, the result will be the same in the vast majority of cases, but a tiny portion of those measurements give a different reading, in apparent violation of E=mc2. Know that the above stuff converges properly to something which makes sense. Marco Benini, Claudio Dappiaggi, Thomas-Paul Hack. €�Measuring the curvature of space caused by gravity is one of the most sensitive ways to learn how Einstein's theory of General Relativity relates to quantum physics. Davies has published over 100 research papers in the fields of black holes, cosmology, and quantum field theory in curved spacetime. If gravity is the curvature of space-time then how can it ever be described by a quantum theory.