Practical Introduction to Action-Dependent Field Theories

Autor:	de León, Manuel, Rifà, Jordi Gaset, Muñoz-Lecanda, Miguel C., Rivas, Xavier, Román-Roy, Narciso
Rok vydání:	2024
Předmět:	High Energy Physics - Theory Mathematical Physics 70S05 70S10 53D10 35R01
Druh dokumentu:	Working Paper
Popis:	Action-dependent field theories are systems where the Lagrangian or Hamiltonian depends on new variables that encode the action. After a friendly introduction, we make a quick presentation of a new mathematical framework for action-dependent field theory: multicontact geometry. The formalism is illustrated in a variety of action-dependent Lagrangians, some of which are regular and other singular, that come from some well-known theories whose Lagrangians have been modified to incorporate action-dependent terms. Detailed computations are provided, including the constraint algorithm, in both the Lagrangian and Hamiltonian formalisms. They include the Klein-Gordon equation, the Bosonic string theory, Metric-affine gravity, Maxwell's electromagnetism, (2+1)-dimensional gravity and Chern-Simons equation, and the heat equation and Burgers' equation. Comment: 37 pages, plus appendix and references
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2409.08340 Zobrazit plný text záznamu View this record from Arxiv