Constraint characterization and degree of freedom counting in Lagrangian field theory

Fuente: arXiv
Salvato in:
Dettagli Bibliografici
Autori principali: Díez, Verónica Errasti, Maier, Markus, Méndez-Zavaleta, Julio A.
Natura: Preprint
Pubblicazione: 2023
Soggetti:
Accesso online:
Tags: Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
_version_ 1866910529862238208
author Díez, Verónica Errasti
Maier, Markus
Méndez-Zavaleta, Julio A.
author_facet Díez, Verónica Errasti
Maier, Markus
Méndez-Zavaleta, Julio A.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2310_12218
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Constraint characterization and degree of freedom counting in Lagrangian field theory
Díez, Verónica Errasti
Maier, Markus
Méndez-Zavaleta, Julio A.
High Energy Physics - Theory
General Relativity and Quantum Cosmology
Mathematical Physics
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.
title Constraint characterization and degree of freedom counting in Lagrangian field theory
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
Mathematical Physics
url https://arxiv.org/abs/2310.12218