Noether‘s variational theorem II and the BV formalism

Fulp, Ron; Lada, Tom; Stasheff, Jim

Displaying similar documents to “Noether‘s variational theorem II and the BV formalism”

Gauge-natural field theories and Noether theorems: canonical covariant conserved currents

Palese, Marcella, Winterroth, Ekkehart

Similarity:

Summary: We specialize in a new way the second Noether theorem for gauge-natural field theories by relating it to the Jacobi morphism and show that it plays a fundamental role in the derivation of canonical covariant conserved quantities. In particular we show that Bergmann-Bianchi identities for such theories hold true covariantly and canonically only along solutions of generalized gauge-natural Jacobi equations. Vice versa, all vertical parts of gauge-natural lifts of infinitesimal...

Aspects of the inverse problem to the calculus of variations

Ian M. Anderson (1988)

Archivum Mathematicum

Similarity:

Symmetries in finite order variational sequences

Mauro Francaviglia, Marcella Palese, Raffaele Vitolo (2002)

Czechoslovak Mathematical Journal

Similarity:

We refer to Krupka’s variational sequence, i.e. the quotient of the de Rham sequence on a finite order jet space with respect to a ‘variationally trivial’ subsequence. Among the morphisms of the variational sequence there are the Euler-Lagrange operator and the Helmholtz operator. In this note we show that the Lie derivative operator passes to the quotient in the variational sequence. Then we define the variational Lie derivative as an operator on the sheaves of the variational sequence....

Multivector fields and connections. Applications to field theories.

Arturo Echeverría-Enríquez, Miguel Carlos Muñoz-Lecanda, Narciso Román-Roy (2002)

RACSAM

Similarity:

Se estudia la integrabilidad de campos multivectoriales en variedades diferenciables y la relación entre algunos tipos de campos multivectoriales en un fibrado de jets y conexiones en dicho fibrado. Como caso particular se relacionan los campos multivectoriales integrables y las conexiones cuyas secciones integrales son holonómicas. Como aplicación de todo ello, estos resultados permiten escribir las ecuaciones de campo de las teorías clásicas de campos de primer orden en varias formas...

Order reduction of the Euler-Lagrange equations of higher order invariant variational problems on frame bundles

Ján Brajerčík (2011)

Czechoslovak Mathematical Journal

Similarity:

Let $μ : F X \to X$ be a principal bundle of frames with the structure group ${Gl}_{n} (ℝ)$ . It is shown that the variational problem, defined by ${Gl}_{n} (ℝ)$ -invariant Lagrangian on $J^{r} F X$ , can be equivalently studied on the associated space of connections with some compatibility condition, which gives us order reduction of the corresponding Euler-Lagrange equations.