Constraint characterization and degree of freedom counting in Lagrangian field theory

التفاصيل البيبلوغرافية
العنوان: Constraint characterization and degree of freedom counting in Lagrangian field theory
المؤلفون: Díez, Verónica Errasti, Maier, Markus, Méndez-Zavaleta, Julio A.
المصدر: Phys.Rev.D 109 (2024) 2, 025010
سنة النشر: 2023
المجموعة: Mathematics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
مصطلحات موضوعية: High Energy Physics - Theory, General Relativity and Quantum Cosmology, Mathematical Physics
الوصف: 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.
Comment: 12 pages + Appendix and References. v2: Journal version
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevD.109.025010
URL الوصول: http://arxiv.org/abs/2310.12218
رقم الأكسشن: edsarx.2310.12218
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevD.109.025010