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Edited by John M. Charap
Publisher: Cambridge University Press
Print Publication Year:1995
Online Publication Date:November 2011
Online ISBN:9780511895722
Hardback ISBN:9780521482714
Paperback ISBN:9780521070065
Book DOI: http://dx.doi.org/10.1017/CBO9780511895722
Subjects: Mathematical physics , Condensed Matter Physics, Nanoscience and Mesoscopic Physics
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.
Reviews:
pp. i-vi
pp. vii-xi
pp. xii-xii
pp. xiii-xiv
The constraint algebra of higher dimensional Chern-Simons theories: Read PDF
pp. 1-4
Nonrelativistic Chern-Simons vortices from the constrained Hamiltonian formalism: Read PDF
pp. 5-16
Classical solutions of gravitating Chern-Simons electrodynamics: Read PDF
pp. 17-22
Exponentially localised instantons in a hierarchy of Higgs models: Read PDF
pp. 23-31
Obstructions to ganging WZ terms: a symplectic curiosity: Read PDF
pp. 32-37
Global aspects of symmetries in sigma models with torsion: Read PDF
pp. 38-49
Canonical structure of the non-linear σ-model in a polynomial formulation: Read PDF
pp. 50-59
A manifestly gauge-invariant approach to quantum theories of gauge fields: Read PDF
pp. 60-86
On the Hamiltonian formulation of higher dimensional Chern-Simons gravity: Read PDF
pp. 87-91
An Example of Loop Quantization: Read PDF
pp. 92-99
Gauge fixing in constrained systems: Read PDF
pp. 100-108
Light-cone formulation of gauge theories: Read PDF
pp. 109-116
Hamiltonian constraints and Dirac observables: Read PDF
pp. 117-130
Gauging kinematical and internal symmetry groups for extended systems: Read PDF
pp. 131-140
On the harmonic interaction of three relativistic point particles: Read PDF
pp. 141-149
Non existence of static multi-black-hole solutions in 2+1 dimensions: Read PDF
pp. 150-157
Spherically symmetric gravity and the notion of time in general relativity: Read PDF
pp. 158-172
Canonical decomposition of Belinskii-Zakharov one-soliton solutions: Read PDF
pp. 173-185
Hamiltonian reduction and the R-matrix of the Calogero model: Read PDF
pp. 186-194
Intrinsic approach to the Legendre transformation in super-mechanics: Read PDF
pp. 195-202
Field-antifield description of anomalous theories: Read PDF
pp. 203-212
Transfer matrix quantization of general relativity, and the problem of time: Read PDF
pp. 213-219
pp. 220-228
Pure geometrical approach to singular Lagrangians with higher derivatives: Read PDF
pp. 229-238
Dirac versus reduced phase space quantization: Read PDF
pp. 239-250
Classical and quantum aspects of degenerate metric fields: Read PDF
pp. 251-263
BRST-antibracket cohomology in 2d conformal gravity: Read PDF
pp. 264-276
Quantisation of 2 + 1 gravity for g = 1 and g = 2: Read PDF
pp. 277-284
Geometry and dynamics with time-dependent constraints: Read PDF
pp. 285-292
Collective coordinates and BRST transformations or Gauge theories without gauge fields: Read PDF
pp. 293-300
Geometry of fermionic constraints in superstring theories: Read PDF
pp. 301-307
BRST and new superstring states: Read PDF
pp. 308-315
Generalized canonical quantization of gauge theories with polarized second–class constraints: Read PDF
pp. 316-324
Radiation field on superspace: Read PDF
pp. 325-331
pp. 332-335
No references available.