Lagrange Brackets and U(1) fields

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.

7 pages, LaTeX, reference corrected

References in corpus (2)

• Hamilton-Jacobi equations and Brane associated Lagrangians
• The Hamilton-Jacobi Equations for Strings and p-Branes

Cited by in corpus (5)

• Quenched, Minisuperspace, Bosonic p-brane Propagator
• Worldsheet Instantons and a Null String Limit of Born-Infeld Theory
• Covariant Formulation of Field Theories associated with p-Branes
• Application of Kawaguchi Lagrangian formulation to string theory
• Multi-Field Generalisations of the Klein-Gordon Theory associated with p-Branes