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
- 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
Appendix B - Grassmann Variables and Pseudo–Classical Lagrangians
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
- 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
The use of Grassmann variables to give a semi-classical description of quantum variables with a finite spectrum introduced by Berezin is described. Then pseudo-classical Lagrangians for the description of spin, of the electric charge, of the sign of the energy of a particle are described. This approach regularizes the divergences of the self-energies: (1) its quantization gives finite results; (2) a suitable mean gives the underlying finite classical theory.
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- Non-Inertial Frames and Dirac Observables in Relativity , pp. 265 - 275Publisher: Cambridge University PressPrint publication year: 2019