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Classical field theories from Hamiltonian constraint: Canonical equations of motion and local Hamilton-Jacobi theory

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F16%3A00306769" target="_blank" >RIV/68407700:21340/16:00306769 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1142/S0219887816500729" target="_blank" >http://dx.doi.org/10.1142/S0219887816500729</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1142/S0219887816500729" target="_blank" >10.1142/S0219887816500729</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Classical field theories from Hamiltonian constraint: Canonical equations of motion and local Hamilton-Jacobi theory

  • Original language description

    Classical field theory is considered as a theory of unparametrized surfaces embedded in a configuration space, which accommodates, in a symmetric way, spacetime positions and field values. Dynamics is defined by a (Hamiltonian) constraint between multivector-valued generalized momenta, and points in the configuration space. Starting from a variational principle, we derive local equations of motion, that is, differential equations that determine classical surfaces and momenta. A local Hamilton-Jacobi equation applicable in the field theory then follows readily. The general method is illustrated with three examples: non-relativistic Hamiltonian mechanics, De Donder-Weyl scalar field theory, and string theory.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BE - Theoretical physics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA14-07983S" target="_blank" >GA14-07983S: Vacuum structure in Quantum Field Theories</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2016

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS

  • ISSN

    0219-8878

  • e-ISSN

  • Volume of the periodical

    13

  • Issue of the periodical within the volume

    6

  • Country of publishing house

    SG - SINGAPORE

  • Number of pages

    25

  • Pages from-to

  • UT code for WoS article

    000378942500004

  • EID of the result in the Scopus database

    2-s2.0-84964344853