Constraint characterization and degree of freedom counting in Lagrangian field theory
arXiv:2310.12218 · doi:10.1103/PhysRevD.109.025010
Abstract
We present a Lagrangian approach to counting degrees of freedom in first-order field theories. The emphasis is on the systematic attainment of a complete set of constraints. In particular, we provide the first comprehensive procedure to ensure the functional independence of all constraints and discuss in detail the possible closures of the constraint algorithm. We argue degrees of freedom can but need not correspond to physical modes. The appendix comprises fully worked out, physically relevant examples of varying complexity.
arXiv comment12 pages + Appendix and References. v2: Journal version
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