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

Al., 2009), and the square of the Weyl curvature tensor (Benedetti et. But if you want to know things like the rate of radiation and the Temperature spectrum of what comes out, you need to do quantum field theory (QFT) in curved spacetime. Goal of this review is to introduce the algebraic approach to quantum field theory on curved backgrounds. Marco Benini, Claudio Dappiaggi, Thomas-Paul Hack. Since there is no complete quantum theory of gravity, they used an established approach called quantum field theory in curved spacetime (QFTCS). 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. Quantum Einstein Gravity (QEG) is the generic name for any quantum field theory of gravity that (regardless of its bare action) takes the spacetime metric as the dynamical field variable and whose symmetry is given by diffeomorphism invariance. Obviously space is part of spacetime and so the effect of the curvature of spacetime is usually (but not always) that we can no longer think of space as being flat (mathematically speaking). 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. Quantum field theory in curved spacetime predicts that event horizons emit radiation like a black body with a finite temperature. 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. An interesting approach to the black hole information paradox is contained in a recent preprint: "Black holes Conserve Information in Curved-Space Quantum Field Theory", by Christoph Adami and Greg L. This has been extended further by taking into account polynomials of the scalar curvature \(R\) (so-called \(f(R)\)-truncations) (Codello et.