Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Part I Special Relativity: Minkowski Space-Time
- Part II General Relativity: Globally Hyperbolic Einstein Space-Times
- Part III Dirac–Bergmann Theory of Constraints
- 8 Singular Lagrangians and Constraint Theory
- 9 Dirac Observables Invariant under the Hamiltonian Gauge Transformations Generated by First-Class Constraints
- 10 Concluding Remarks and Open Problems
- Appendix A Canonical Realizations of Lie Algebras, Poincaré Group, Poincar´e Orbits, and Wigner Boosts
- Appendix B Grassmann Variables and Pseudo–Classical Lagrangians
- Appendix C Relativistic Perfect Fluids and Covariant Thermodynamics
- References
- Index
8 - Singular Lagrangians and Constraint Theory
from Part III - Dirac–Bergmann Theory of Constraints
Published online by Cambridge University Press: 17 June 2019
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Part I Special Relativity: Minkowski Space-Time
- Part II General Relativity: Globally Hyperbolic Einstein Space-Times
- Part III Dirac–Bergmann Theory of Constraints
- 8 Singular Lagrangians and Constraint Theory
- 9 Dirac Observables Invariant under the Hamiltonian Gauge Transformations Generated by First-Class Constraints
- 10 Concluding Remarks and Open Problems
- Appendix A Canonical Realizations of Lie Algebras, Poincaré Group, Poincar´e Orbits, and Wigner Boosts
- Appendix B Grassmann Variables and Pseudo–Classical Lagrangians
- Appendix C Relativistic Perfect Fluids and Covariant Thermodynamics
- References
- Index
Summary
After a review of regular Lagrangians, their Hamiltonian formulation, and the first Noether theorem, there is the exposition of theory of singular Lagrangians and of Dirac–Bergmann theory of first- and second-class constraints. Also, the gauge transformations of field theory and general relativity are analyzed.
- Type
- Chapter
- Information
- Non-Inertial Frames and Dirac Observables in Relativity , pp. 189 - 222Publisher: Cambridge University PressPrint publication year: 2019