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Geometry of Constrained Dynamical Systems

By: John M. Charap (Editor)

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Hardcover | 6 March 1995

At a Glance

Hardcover
352 Pages

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23.6 x 15.7 x 2.5

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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.

Industry Reviews

From the hardback review: 'Overall the book is interesting, provides a snapshot of the research in this field and a useful reference tool, that can replace scattered searching through the literature in the journals.' C. Rovelli, Classical & Quantum Gravity

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You Can Find This Book In

Non-Fiction Science Physics Quantum Physics & Quantum Mechanics & Quantum Field Theory Classical Mathematics Gravity Mathematics Geometry Calculus & Mathematical Analysis Applied Mathematics Probability & Statistics

The constraint algebra of higher dimensional ChernûSimons
Non-relativistic ChernûSimons vortices from the constrained Hamiltonian formalism
Classical solutions of gravitating ChernûSimons electrodynamics
Exponentionally localised instantons in a hierachy of Higgs models
Obstructions to gauging WZ terms: a symplectic curiosity
Global aspects of symmetries in sigma models with torsion
Canonical structure of the non-linear sigma model in a polynomial formulation
A manifestly gauge-invariant approach to quantum theories of gauge fields
On the Hamiltonian formulation of the higher dimensional ChernûSimons gravity
An example of loop quantization
Gauge fixing in constrained systems
Light-cone formulation of gauge theories
Hamiltonian constraints and Dirac observables
Gauging kinematical and internal symmetry groups for extended systems
On the harmonic interaction of three relativistic point particles
Non-existence of static multi-black-hole solutions in 2+1 dimensions
Spherically symmetric gravity and the notion of time in general relativity
Canonical decomposition of BelinskiiûZakharov one-soliton
Hamiltonian reduction and the R-matrix of the Calogero model
Intrinsic approach to the Legendre transformation in super-mechanics
Field-antifield description of the anomalous theories

The W3-particle
Pure geometric approach to singular Lagrangians with higher derivatives
Dirac versus reduced phase space quantization
Classical and quantum aspects of degenerate metric field
BRST-antibracket cohomology in 2D conformal gravity
Quantization of 2+1 gravity for g=1 and g=2
Geometry and dynamics with time-dependent constraints
Collective coordinates and BRST transformations, or Gauge theories without gauge fields
Geometry of fermionic constraints in superstring theories
BRST and new superstring states
Generalized canonical quantization of gauge theories with polarized second-class constraints
Radiation field on superspace
Table of Contents provided by Publisher. All Rights Reserved.

Geometry of Constrained Dynamical Systems

At a Glance

Hardcover

Industry Reviews

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