Geometry of Constrained Dynamical Systems

A lively, varied and topical presentation of this branch of theoretical physics.

Many of the fundamental theories of modern physics can be considered as descriptions of dynamical systems subjected to constraints. The collected papers deal with problems such as; Chern–Simons theory, sigma-models, gauge invariance, general relativity and the notion of time, and quantum gravity.Many of the fundamental theories of modern physics can be considered as descriptions of dynamical systems subjected to constraints. The study of these constrained dynamical systems, in particular the problems encountered in formulating them as quantum systems, has many profound links with geometry. These links were explored in the Symposium on Geometry and Gravity, held at the Newton Institute in 1994. This book arose from a conference held during that symposium, and is a collection of papers devoted to problems such as Chern–Simons theory, sigma-models, gauge invariance and loop quantization, general relativity and the notion of time and quantum gravity. They present a lively, varied and topical perspective on this important branch of theoretical physics, from some of the leading authorities in the subject.