Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics
University of Chicago Press, 1994 M11 15 - 205 páginas
In this book, Robert Wald provides a coherent, pedagogical introduction to the formulation of quantum field theory in curved spacetime. He begins with a treatment of the ordinary one-dimensional quantum harmonic oscillator, progresses through the construction of quantum field theory in flat spacetime to possible constructions of quantum field theory in curved spacetime, and, ultimately, to an algebraic formulation of the theory. In his presentation, Wald disentangles essential features of the theory from inessential ones (such as a particle interpretation) and clarifies relationships between various approaches to the formulation of the theory. He also provides a comprehensive, up-to-date account of the Unruh effect, the Hawking effect, and some of its ramifications. In particular, the subject of black hole thermodynamics, which remains an active area of research, is treated in depth.
This book will be accessible to students and researchers who have had introductory courses in general relativity and quantum field theory, and will be of interest to scientists in general relativity and related fields.
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Introduction and Overview
Quantum Mechanical Preliminaries
Quantum Fields in Flat Spacetime
Quantum Fields in Curved Spacetime
The Unruh Effect
Classical Black Hole Thermodynamics
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addition algebraic analogous appear approach arising associated asymptotic black hole calculation Cauchy surface choice classical complete condition consider construction corresponding creation curved spacetime defined denotes density derivation described determined discussion dynamical effect elements energy entropy equation equivalent exists expected expressed extended fact finite flat follows formulation function future give given gravitational collapse gravity Hadamard Hamiltonian Hawking Hence Hilbert space holds horizon infinity initial inner product interpretation Klein-Gordon late linear manner mathematical matter mechanics Minkowski spacetime natural normal Note notion observables obtain occur operator ordinary oscillators particle particular past physical precisely present propagate properties pure quantum field theory quantum mechanical quantum theory region relations representation represented respect restriction satisfying Schwarzschild shows simply solutions standard stationary structure taking temperature tensor theorem theory in curved thermal tion uniquely Unruh vacuum vector space Wald yield
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