Published January 23, 2024
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Constraint characterization and degree of freedom counting in Lagrangian field theory
- 1. Universitäts-Sternwarte, Fakultät für Physik, Ludwig-Maximilians-Universität München, Scheinerstraße 1, 81679 München, Germany
- 2. Excellence Cluster ORIGINS, Boltzmannstraße 2, 85748 Garching bei München, Germany
- 3. Facultad de Física, Universidad Veracruzana, Paseo No. 112, Desarrollo Habitacional Nuevo Xalapa, 91097 Xalapa-Enríquez, Mexico
- 4. Department of Philosophy of Nature and Technology, Munich School of Philosophy, Kaulbachstraße 31a, 80539 München, Germany
Description
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.
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10.1103_PhysRevD.109.025010.pdf
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Additional details
Identifiers
- DOI
- 10.1103/PhysRevD.109.025010;
- arXiv
- arXiv:2310.12218;
- Crossref Funder ID
- 10.13039/501100001659;
Publishing Information
- Journal Title
- Physical Review D
- Journal Volume
- 109
- Journal Issue
- 2
- Journal Page Range
- 17 pgs.
- ISSN
- 1089-4918
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGORITHMS; DEGREES OF FREEDOM; FEYNMAN PATH INTEGRAL; FIELD EQUATIONS; LAGRANGIAN FIELD THEORY; LAGRANGIAN FUNCTION; LIMITING VALUES; LORENTZ GROUPS; LORENTZ TRANSFORMATIONS; SECOND QUANTIZATION; VECTOR FIELDS
- Descriptors DEC
- EQUATIONS; FIELD THEORIES; FUNCTIONS; INTEGRALS; LIE GROUPS; MATHEMATICAL LOGIC; PATH INTEGRALS; POINCARE GROUPS; QUANTIZATION; QUANTUM FIELD THEORY; SYMMETRY GROUPS; TRANSFORMATIONS
Optional Information
- Contract/Grant/Project number
- 898686
- Notes
- Contact Email: vero.erdi@origins-cluster.de; Contact Email: markus.maier@hfph.de; Contact Email: julmendez@uv.mx; Record automatically processed
- Funding organization
- Deutsche Forschungsgemeinschaft; CONAHCYT's Estancias Posdoctorales por México