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Lagrange Brackets and U(1) fields

David B. Fairlie
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Abstract

The idea of a companion Lagrangian associated with $p$-Branes is extended to include the presence of U(1) fields. The Brane Lagrangians are constructed with $F_{ij}$ represented in terms of Lagrange Brackets, which make manifest the reparametrisation invariance of the theory; these are replaced by Poisson Brackets in the companion Lagrangian, which is now covariant under field redefinition. The ensuing Lagrangians possess a similar formal structure to those in the absence of an anti-symmetric field tensor.

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David B. Fairlie. 2000-05-05. Lagrange Brackets and U(1) fields. https://doi.org/10.1016/s0370-2693(00)00682-1

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