Geometry of Constrained Dynamical Systems

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Cambridge University Press, Jan 5, 1995 - Mathematics - 335 pages
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Many fundamental theories of modern physics can be considered as descriptions of dynamical systems subjected to constraints. The study of these constrained dynamical systems, and in particular the problems of 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, which arose from a conference held during that symposium, 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, and will be of value to theoretical physicists and mathematicians interested in the latest advances.
 

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Contents

BRSTantibracket cohomology in 2d confornial gravity 264
1
Classical solutions of gravitating CliernSimons
17
a symploctic curiosity
32
Canonical structure of the nonlinear crmodel in a polynomial
50
On the Hamiltonian formulation of higher dimensional Chern
87
Gauge fixing in constrained systems
100
Hamiltonian constraints and Dirac observables
117
Gauging kinematical and internal symmetry groups
131
Hamiltonian reduction and the J?matrix of
186
Intrinsic approach to the Legendre transformation
195
Transfer matrix quantization of general relativity and
213
Pure geometrical approach to singular Lagrangians with
229
Classical and quantum aspects of degenerate metric fields
251
B3001 Leuven Belgium
277
Collective coordinates and BRST transformations or Gauge
293
BRST and new superstring states
308

Sezione INFN di Firenze Largo E Fermi 2 Arcetri 50125 Firenze
139
Non existence of static multiblackhole solutions in 2 + 1
150
Canonical decomposition of BelinskilZakharov onesoliton
173
Radiation field 011 superspace
325
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About the author (1995)

John M. Charap is Professor of Theoretical Physics at Queen Mary, University of London. He is an internationally acclaimed particle theorist and the editor of "Geometry of Constrained Dynamical Systems.