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A remark on Lagrange structures for unfolded field theory | D.S. Kaparulin
; S.L. Lyakhovich
; A.A. Sharapov
; | Date: |
12 Dec 2010 | Abstract: | Any system of local field equations, be it Lagrangian or not, can be
equivalently formulated in so-called unfolded form. General unfolded equations
are not Lagrangian even if the corresponding model was Lagrangian before
unfolding. The Lagrange anchor, being a map from the space of field equations
to the space of fields, can exist for non-Lagrangian equations. The Lagrange
anchor, endows general (not necessarily Lagrangian) field equations, with
several important properties possessed by Lagrangian systems. In particular,
the Lagrange anchor makes possible to quantize the dynamics, and it also
connects symmetries with conservation laws. In this paper, we study the
structure of the Lagrange anchor compatible with the unfolded form of field
equations, and establish its basic properties. We provide an explicit
construction of the Lagrange anchor for the scalar field equations in the
unfolded form. This construction is applicable to a broad class of field
theories. | Source: | arXiv, 1012.2567 | Services: | Forum | Review | PDF | Favorites |
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