![]() ![]() DeWitt, Quantum field theory in curved spacetime cannot in the end be based on the Poincar group. Covering over four decades of thematic development, this book is a valuable resource for researchers interested in quantum field theory, gravitation and cosmology. Most of us are aware that quantum field theory 298 B.S. It explores the self-consistent description of both space-time and matter via the semiclassical Einstein equation of semiclassical gravity theory, exemplified by the inflationary cosmology, and fluctuations of quantum fields which underpin stochastic gravity, necessary for the description of metric fluctuations (space-time foams). This book examines the effects of quantum field processes back-reacting on the background space-time which become important near the Planck time (10-43 sec). Our review emphasizes the conceptual issues arising in the formulation of the theory and presents known results in a mathematically precise way. Combining the two yields quantum field theory in curved space-time, which is needed to understand quantum field processes in the early universe and black holes, such as the well-known Hawking effect. We review the theory of quantum fields propagating in an arbitrary, classical, globally hyperbolic spacetime. 1972 J.The two pillars of modern physics are general relativity and quantum field theory, the former describes the large scale structure and dynamics of space-time, the latter, the microscopic constituents of matter. Quantum field theory in curved space-times a general mathematical framework Chapter Nov 2006 Chris Isham View Show abstract Theorems on the uniqueness and thermal properties of stationary. 1978 “Pauli-Villars Regularization and Trace Anomalies,” preprint, Case Western Reserve Univ., Cleveland, Ohio. 1969 Einstein Spaces (Pergamon Press, N.Y.) 1978 “Path Integrals for a Particle in Curved Space,” preprint (University of Wisconsin-Milwaukee). Mukhanov and Winitzki, Introduction to quantum elds. ![]() Similarly, it provides a deep connection between general relativity, thermodynamics, and quantum field theory. It can be used to explain how the large-scale structure of the universe and the anisotropies of the cosmic background radiation that we observe today first arose. Jacobson, Introduction to quantum elds in curved space-time and the Hawking e ect, arxiv:0308048. Quantum field theory in curved spacetime has been remarkably fruitful. Gibbons/Hawking/Townsend, Black Holes lecture notes, arxiv:9707012. Ford, Quantum Field theory in Curved space-time, arxiv:9707062. ![]() 107–227 in Asymptotic Structure of Space-Time, edited by F. To generalize QFT from flat spacetime to curved ones needs us to reconsider a number of basic settings in the former case, in which many concepts are introduced. Birrell & Davis, Quantum eld theory in curved space-time, CUP. 1977 “The Production of Elementary Particles by Strong Gravitational Fields,” pp. Aragone ( Universidad Simon Bolivar, Caracas, Venezuela ). 1975 “Quantized Fields and Particle Creation in Curved Spacetime”, in Relativity, Fields, Strings and Gravity, edited by C. Study of quantum phenomena where gravitation plays a fundamental role, such as in the vicinity of black holes or the. ![]() Thesis, Harvard University (unpublished). 1977 “On Functional Integrals in Curved Spacetime,” preprint (to appear in Commun. 1969 Quantum Mechanics and Path Integrals ( McGraw-Hill, N.Y.).įradkin, E. 1964 Dynamical Theory of Groups and Fields (Gordon and Breach, N.Y).ĭeWitt, B. Thesis, King’s College, London (unpublished).īunch, T. The theory of quantized fields in curved spacetime has reached a high level of development, and a number of important physical consequences have been. 1978 “Actions and Anomalies,” preprint, U. ![]()
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