Nonlocal Lagrangian fields: Noether's theorem and Hamiltonian formalism
This article aims to study nonlocal Lagrangians with an infinite number of degrees of freedom. We obtain an extension of Noether's theorem and Noether's identities for such Lagrangians. We then set up a Hamiltonian formalism for them. In addition, we show that n-order local Lagrangians can be treate...
| Authors: | ; |
|---|---|
| Format: | Article |
| Status: | Published version |
| Publication date: | 2022 |
| Country: | España |
| Institution: | Universidad de Barcelona |
| Repository: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/192692 |
| Online Access: | https://hdl.handle.net/2445/192692 |
| Access Level: | Open access |
| Keyword: | Sistemes hamiltonians Teoria quàntica de camps Hamiltonian systems Quantum field theory |
| _version_ | 1878738126309949440 |
|---|---|
| author | Heredia, Carlos |
| author2 | Llosa, Josep |
| author2_role | author |
| author_browse | Heredia, Carlos Llosa, Josep |
| author_facet | Heredia, Carlos Llosa, Josep |
| author_role | author |
| collection | Dipòsit Digital de la UB |
| description | This article aims to study nonlocal Lagrangians with an infinite number of degrees of freedom. We obtain an extension of Noether's theorem and Noether's identities for such Lagrangians. We then set up a Hamiltonian formalism for them. In addition, we show that n-order local Lagrangians can be treated as a particular case, and the standard results can be recovered. Finally, this formalism is applied to the case of p-adic open string field. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_aa0de134d74852ec4e6abc65fa90b4e7 |
| institution | Universidad de Barcelona |
| instname_str | Universidad de Barcelona |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:diposit.ub.edu:2445/192692 |
| publishDate | 2022 |
| publishDateSort | 2022 |
| publisher | American Physical Society |
| publisherStr | American Physical Society |
| reponame_str | Dipòsit Digital de la UB |
| spelling | Nonlocal Lagrangian fields: Noether's theorem and Hamiltonian formalism Heredia, Carlos Llosa, Josep Sistemes hamiltonians Teoria quàntica de camps Hamiltonian systems Quantum field theory This article aims to study nonlocal Lagrangians with an infinite number of degrees of freedom. We obtain an extension of Noether's theorem and Noether's identities for such Lagrangians. We then set up a Hamiltonian formalism for them. In addition, we show that n-order local Lagrangians can be treated as a particular case, and the standard results can be recovered. Finally, this formalism is applied to the case of p-adic open string field. American Physical Society https://hdl.handle.net/2445/192692 |
| spellingShingle | Nonlocal Lagrangian fields: Noether's theorem and Hamiltonian formalism Heredia, Carlos Sistemes hamiltonians Teoria quàntica de camps Hamiltonian systems Quantum field theory |
| status_str | publishedVersion |
| title | Nonlocal Lagrangian fields: Noether's theorem and Hamiltonian formalism |
| title_full | Nonlocal Lagrangian fields: Noether's theorem and Hamiltonian formalism |
| title_fullStr | Nonlocal Lagrangian fields: Noether's theorem and Hamiltonian formalism |
| title_full_unstemmed | Nonlocal Lagrangian fields: Noether's theorem and Hamiltonian formalism |
| title_short | Nonlocal Lagrangian fields: Noether's theorem and Hamiltonian formalism |
| title_sort | Nonlocal Lagrangian fields: Noether's theorem and Hamiltonian formalism |
| topic | Sistemes hamiltonians Teoria quàntica de camps Hamiltonian systems Quantum field theory |
| topic_facet | Sistemes hamiltonians Teoria quàntica de camps Hamiltonian systems Quantum field theory |
| url | https://hdl.handle.net/2445/192692 |