Geometry of Constrained Dynamical Systems

doi:10.1017/CBO9780511895722

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.

Review of the hardback:‘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 Source: Classical & Quantum Gravity

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Contents

BRST-antibracket cohomology in 2d conformal gravity
pp 264-276
- By Friedemann Brandt, Nikhef–h, Walter Troost, Institimt voor Theoretische Fysica, Antoine Van Proeyen, Institimt voor Theoretische Fysica
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Quantisation of 2 + 1 gravity for g = 1 and g = 2
pp 277-284
- By J. E. Nelson, Università degli Studi di Torino
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Geometry and dynamics with time-dependent constraints
pp 285-292
- By Jonathan M. Evans, Theory Division, CERN, Philip A. Tuckey, Max-Planck-Institut für Physik
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Collective coordinates and BRST transformations or Gauge theories without gauge fields
pp 293-300
- By H.J.W. Müller-Kirsten, University of Kaiserslautern, J.-Z. Zhang, Institute for Theoretical Physics
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Geometry of fermionic constraints in superstring theories
pp 301-307
- By Dmitrij P. Sorohin, Institute of Physics and Technology
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BRST and new superstring states
pp 308-315
- By L. Dolan, University of North Carolina
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Generalized canonical quantization of gauge theories with polarized second–class constraints
pp 316-324
- By I. A. Batalin, Lebedev Physical Institute, S.L. Lyakhovich, Tomsk State University, I. V. Tyutin, Lebedev Physical Institute
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Radiation field on superspace
pp 325-331
- By Pedro F. González-Díaz, Instituto de Matemáticas y Física Fundamental
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Participants
pp 332-335
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Geometry of Constrained Dynamical Systems

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Contents

BRST-antibracket cohomology in 2d conformal gravity
pp 264-276

Quantisation of 2 + 1 gravity for g = 1 and g = 2
pp 277-284

Geometry and dynamics with time-dependent constraints
pp 285-292

Collective coordinates and BRST transformations or Gauge theories without gauge fields
pp 293-300

Geometry of fermionic constraints in superstring theories
pp 301-307

BRST and new superstring states
pp 308-315

Generalized canonical quantization of gauge theories with polarized second–class constraints
pp 316-324

Radiation field on superspace
pp 325-331

Participants
pp 332-335

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Geometry of Constrained Dynamical Systems

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