3 papers
hep-th2025
Nonlocal Mechanics
Carlos Heredia, Josep Llosa
We introduce a Hamiltonian framework for nonlocal Lagrangian systems without relying on infinite-derivative expansions. Starting from a (trajectory-based) variational principle and…
hep-th2024
Are nonlocal Lagrangian systems fatally unstable?
Carlos Heredia, Josep Llosa
We prove that higher-derivative and genuinely nonlocal Lagrangian systems can be Lyapunov-stable even when their Hamiltonians lack a lower bound. Explicit free and coupled Pais-Uhl…
hep-th2023
Nonlocal Lagrangian fields and the second Noether theorem. Non-commutative gauge theory
Carlos Heredia, Josep Llosa
This article focuses on three main contributions. Firstly, we provide an in-depth overview of the nonlocal Lagrangian formalism. Secondly, we introduce an extended version of the s…