dc.contributor
Universitat Politècnica de Catalunya. Departament de Matemàtiques
dc.contributor
Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions
dc.contributor.author
Guerra IV, Arnoldo
dc.contributor.author
Román Roy, Narciso
dc.date.issued
2023-02-01
dc.identifier
Guerra IV, A.; Roman-Roy, N. More insights into symmetries in multisymplectic field theories. "Symmetry", 1 Febrer 2023, vol. 15, núm. 2, article 390.
dc.identifier
https://hdl.handle.net/2117/386339
dc.identifier
10.3390/sym15020390
dc.description.abstract
This work provides a general overview for the treatment of symmetries in classical field theories and (pre)multisymplectic geometry. The geometric characteristics of the relation between how symmetries are interpreted in theoretical physics and in the geometric formulation of these theories are clarified. Finally, a general discussion is given on the structure of symmetries in the presence of constraints appearing in singular field theories. Symmetries of some typical theories in theoretical physics are analyzed through the construction of the relevant multimomentum maps which are the conserved quantities (by Noether’s theorem) on the (pre)multisymplectic phase spaces.
dc.description.abstract
Peer Reviewed
dc.description.abstract
Postprint (published version)
dc.format
application/pdf
dc.relation
https://www.mdpi.com/2073-8994/15/2/390
dc.rights
https://creativecommons.org/licenses/by/4.0/
dc.rights
Attribution 4.0 International
dc.subject
Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria diferencial
dc.subject
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
dc.subject
Symplectic geometry
dc.subject
Field theory (Physics)
dc.subject
General relativity (Physics)
dc.subject
Lagrangian and Hamiltonian field theories
dc.subject
Multisymplectic forms
dc.subject
Noether symmetries
dc.subject
Gauge symmetries
dc.subject
Conserved quantities
dc.subject
Multimomentum maps
dc.subject
Geometria simplèctica
dc.subject
Camps, Teoria dels (Física)
dc.subject
Relativitat general (Física)
dc.subject
Classificació AMS::53 Differential geometry::53D Symplectic geometry, contact geometry
dc.subject
Classificació AMS::70 Mechanics of particles and systems::70S Classical field theories
dc.subject
Classificació AMS::83 Relativity and gravitational theory::83C General relativity
dc.title
More insights into symmetries in multisymplectic field theories
