Exploració per tema "Classical field theories"
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An overview of the Hamilton–Jacobi theory: the classical and geometrical approaches and some extensions and applications
(Multidisciplinary Digital Publishing Institute (MDPI), 2021-01-01)
Article
Accés obertThis work is devoted to review the modern geometric description of the Lagrangian and Hamiltonian formalisms of the Hamilton–Jacobi theory. The relation with the “classical” Hamiltonian approach using canonical transformations ... -
Hamilton-Jacobi theory in multisymplectic classical field theories
(2015-04-08)
Report de recerca
Accés obertThe geometric framework for the Hamilton-Jacobi theory developed in [14, 17, 39] is extended for multisymplectic first-order classical field theories. The Hamilton-Jacobi problema is stated for the Lagrangian and the ... -
Multisymplectic constraint analysis of scalar field theories, Chern-Simons gravity, and bosonic string theory
(Elsevier, 2023-02)
Article
Accés obertThe (pre)multisymplectic geometry of the De Donder–Weyl formalism for field theories is further developed for a variety of field theories including a scalar field theory from the canonical Klein-Gordon action, the electric ... -
New multisymplectic approach to the Metric-Affine (Einstein-Palatini) action for gravity
(American Institute of Mathematical Sciences, 2019-09-01)
Article
Accés obertWe present a covariant multisymplectic formulation for the Einstein-Palatini (or Metric-Affine) model of General Relativity (without energy-matter sources). As it is described by a first-order affine Lagrangian (in the ... -
The second-order problem for k-presymplectic Lagrangian field theories: application to the Einstein–Palatini model
(springer-Verlag, 2022-01-01)
Article
Accés obertIn general, the system of 2nd-order partial differential equations made of the Euler–Lagrange equations of classical field theories are not compatible for singular Lagrangians. This is the so-called second-order problem. ...