Knots and quantum gravity
著者
書誌事項
Knots and quantum gravity
（Oxford lecture series in mathematics and its applications, 1）
Clarendon Press, 1994
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注記
Includes bibliographical references
内容説明・目次
内容説明
In the mid-1980's, Abhay Ashtekar discovered a reformulation of general relativity in terms of what are now called the "new variables". This led to a rapid series of developments, and in 1990 Carlo Rovelli and Lee Smolin published a paper entitled "Loop representation of quantum general relativity", in which, among other things, it was shown that there is a space of solutions to the constraint equations of quantum gravity consisting of link invariants. The
discovery of relations between quantum gravity and the theory of knots and links came as quite a surprise, since the topics had been regarded as quite remote from each other.
This volume is the proceedings of a workshop held in 1993 at the University of California at Riverside. The purpose of the workshop was to bring together researchers in knot theory and quantum gravity and form more bridges between the two subjects. Most of the talks were given by researchers whose work has significance for both subjects. This volume contains expository papers as well as new results, and should serve as a guide for mathematicians and physicists seeking to understand this
rapidly developing area of research.
目次
- The Loop Formulation of Gauge Theory and Gravity
- Representation Theory of Analytic Holonomy: C*-algebras
- The Gauss Linking Number in Quantum Gravity
- Vassiliev Invariants and the Loop States in Quantum Gravity
- Geometric Structures and Loop Variables in (2+1)- Dimensional Gravity
- From Chern-Simons to WZW via Path Integrals
- Topological Field theory as the Key to Quantum Gravity
- Strings, Loops, Knots and Gauge Fields
- BF Theories and 2-knots
- Knotted Surfaces, Braid Movies, and Beyond
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