The recipe for the degrees of freedom

Fuente: arXiv
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Autori principali: Hell, Anamaria, Ferreira, Elisa G. M., Lust, Dieter, Sasaki, Misao
Natura: Preprint
Pubblicazione: 2026
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author Hell, Anamaria
Ferreira, Elisa G. M.
Lust, Dieter
Sasaki, Misao
author_facet Hell, Anamaria
Ferreira, Elisa G. M.
Lust, Dieter
Sasaki, Misao
contents We consider the question of counting the degrees of freedom in theoretical models, with an emphasis on theories of fields and gravity. Among the possible approaches, the Hamiltonian formulation remains one of the most systematic and robust tools. However, it can easily become long and technically involved. In this work, we present a broadly applicable recipe to find the degrees of freedom directly, based on the Lagrangian formulation. We compare it to the standard approaches, highlight the challenges that may arise in the latter, and demonstrate that the proposed method leads to transparent insights about the dynamical nature of theory in a quick, simple, and straight-forward way.
format Preprint
id arxiv_https___arxiv_org_abs_2601_10288
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle The recipe for the degrees of freedom
Hell, Anamaria
Ferreira, Elisa G. M.
Lust, Dieter
Sasaki, Misao
High Energy Physics - Theory
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
We consider the question of counting the degrees of freedom in theoretical models, with an emphasis on theories of fields and gravity. Among the possible approaches, the Hamiltonian formulation remains one of the most systematic and robust tools. However, it can easily become long and technically involved. In this work, we present a broadly applicable recipe to find the degrees of freedom directly, based on the Lagrangian formulation. We compare it to the standard approaches, highlight the challenges that may arise in the latter, and demonstrate that the proposed method leads to transparent insights about the dynamical nature of theory in a quick, simple, and straight-forward way.
title The recipe for the degrees of freedom
topic High Energy Physics - Theory
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2601.10288