Canonical Gravity: From Classical to Quantum
Canonical Gravity: From Classical to Quantum Proceedings of the 117th WE Heraeus Seminar Held at Bad Honnef, Germany, 13–17 September 1993 / [electronic resource] :
edited by J. Ehlers, H. Friedrich.
- X, 372 p. online resource.
- Lecture Notes in Physics, 434 0075-8450 ; .
- Lecture Notes in Physics, 434 .
Prima facie questions in quantum gravity -- Hamilton's formalism for systems with constraints -- The classical theory of canonical general relativity -- Ashtekar variables in classical general relativity -- Quantization of systems with constraints -- Canonical quantum gravity and the question of time -- The semiclassical approximation to quantum gravity -- Loop representations -- Gauge theory and gravity in the loop formulation -- Reduced models for quantum gravity -- Adjointness relations as a criterion for choosing an inner product -- Overview and outlook.
The search for a quantum gravity theory, a theory expected to combine the principles of general relativity and quantum theory, has led to some of the most deepest and most difficult conceptual and mathematical questions of modern physics. The present book, addressing these issues in the framework of recent versions of canonical quantization, is the first to present coherently the background for their understanding. Starting with an analysis of the structure of constrained systems and the problems of their quantization, it discusses the canonical formulation of classical relativity from different perspectives and leads to recent applications of canonical methods to create a quantum theory of gravity. The book aims to make accessible the most fundamental problems and to stimulate work in this field.
9783540486657
10.1007/3540583394 doi
Quantum theory.
Quantum Physics.
Quantum Information Technology, Spintronics.
Classical and Quantum Gravitation, Relativity Theory.
QC173.96-174.52
530.12
Prima facie questions in quantum gravity -- Hamilton's formalism for systems with constraints -- The classical theory of canonical general relativity -- Ashtekar variables in classical general relativity -- Quantization of systems with constraints -- Canonical quantum gravity and the question of time -- The semiclassical approximation to quantum gravity -- Loop representations -- Gauge theory and gravity in the loop formulation -- Reduced models for quantum gravity -- Adjointness relations as a criterion for choosing an inner product -- Overview and outlook.
The search for a quantum gravity theory, a theory expected to combine the principles of general relativity and quantum theory, has led to some of the most deepest and most difficult conceptual and mathematical questions of modern physics. The present book, addressing these issues in the framework of recent versions of canonical quantization, is the first to present coherently the background for their understanding. Starting with an analysis of the structure of constrained systems and the problems of their quantization, it discusses the canonical formulation of classical relativity from different perspectives and leads to recent applications of canonical methods to create a quantum theory of gravity. The book aims to make accessible the most fundamental problems and to stimulate work in this field.
9783540486657
10.1007/3540583394 doi
Quantum theory.
Quantum Physics.
Quantum Information Technology, Spintronics.
Classical and Quantum Gravitation, Relativity Theory.
QC173.96-174.52
530.12