欧几里德量子引力学EUCLIDEAN QUANTUM GRAVITY

lidean approach to quantum gravity was initiated in the seventies.in an　attemPt to understand the difficulties raised by the spaCetime singularities of classical　gene.ral relativity.which arise in the gravitational collapse of stars to, form black holes　and the entire niverse in the big bang. An important motivation was to develop an　approach capable of dealing with the nonlin.ear, nonperturbative aspects of quantum gravity due to topologically nontrivial spacetimes. There are important links with a Riemannian geometry: Since its inception, the.theory has been applied to a number of important physical problems including the thermodynamic properties of'black holes,quantum cosmology and the problem of the.cosmological constant.
　　This volume is a selection of some of the most influential and. important papers on the Euclidean'approach tO quantum gravity, in which one expresses the Feynman path integral as a sum over Riemannian metrics. It contains sections on the general.formalin;m, black holes, quantum cosmology, wormholes, and gravitational instantons.Complied by two of the leading proponents of Euclidean quantum gravity, Stephen Hawking and Gary Gibbons, this book should serve as an ssential reference as well as an important document of the exciting progress in this area of research.

Ⅰ. GENERAL FORMALISM
　1. One-Loop Divergencies in the Theory of Gravitation
　2. The Path-Integral Approach to Quantum Gravity
　3. Euclidean Quantum Gravity
　4. Path Integrals and the Indefiniteness of the Gravitational Action
　5. Proof of the Positive Action Conjecture in Quantum Relativity
　6. Zeta Function Regularization of Path Integrals in Curved Spacetime
　7. The Conformal Rotation in Perturbative Gravity
　8. Quantum Tunneling and Negative Eigenvalues
　9. A Relation Between Volume, Mean Curvature and Diameter
　10. The Cosmological Constant is Probably Zero
Ⅱ. BLACK HOLES
　1. Particle Creation by Black Holes
　2. Path Integral Derivation of Black-Hole Radiance
　3. Black Holes and Thermal Green Functions
　4. Action Integrals and Partition Functions in Quantum Gravity
　5. Instability of Flat Space at Finite Temperature
　6. Thermal Stress Tensor in Static Einstein Spaces
　7. Quantum Stess Tensor in Schwarzschild Space-Time
Ⅲ. QUANTUM COSMOLOGY
　1. Cosmological Event Horizons, Thermodynamics and Particle Creation
　2. Gravitational Effects on and of Vacuum Decay
　3. Supercooled Phase Transitions in the Very Early Universe
　4. Wave Function of the Universe
　5. The Quantum State of the Universe
　6. Origin of Structure in the Universe
Ⅳ WORMHOLES
Ⅴ GRAMITATIONAL INSTANTONS