2020/03/01 by Ivan Kolář, Ivan Kolar, Anupam Mazumdar
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Coupling constant #Covariant Hamiltonian field theory #Formalism (music) #Hamiltonian (control theory) #Hamiltonian system #Mathematical analysis #Mathematical physics #Mathematics #Phase space #Physics #Quantum mechanics #Scalar field #Symplectic geometry #advanced mathematical theories #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.101.124028
published as Phys. Rev. D 101, 124028 (2020) · 13 pages
arxiv created 2020/03/01 · openalex publication_date 2020/06/15 · arxiv updated 2020/06/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Theories with an infinite number of derivatives are described by nonlocal Lagrangians for which the standard Hamiltonian formalism cannot be applied. Hamiltonians of special types of nonlocal theories can be constructed by means of the (1+1)-dimensional Hamiltonian formalism. In this paper, we consider a simple scalar field model inspired by the infinite derivative gravity and study its reduced phase space by using this formalism. Assuming the expansion of the solutions in the coupling constant, we compute the perturbative Hamiltonian and the symplectic 2-form. We also discuss an example of a theory leading to an infinite-dimensional reduced phase space for a different choice of the form factor.