Symplectic structure for elastic and chiral conducting cosmic string models

Details Symplectic structure for elastic and chiral conducting cosmic string models Symplectic structure for elastic and chiral conducting cosmic string models

2003-07-17

arxiv.org/abs/hep-th/0307161v1

Phys.Rev. D69 (2004) 125002

Physics

High Energy Physics

High Energy Physics - Theory

18 pages

Scientific paper

10.1103/PhysRevD.69.125002

This article is based on the covariant canonical formalism and corresponding symplectic structure on phase space developed by Witten, Zuckerman and others in the context of field theory. After recalling the basic principles of this procedure, we construct the conserved bilinear symplectic current for generic elastic string models. These models describe current carrying cosmic strings evolving in an arbitrary curved background spacetime. Particular attention is paid to the special case of the chiral string for which the worldsheet current is null. Different formulations of the chiral string action are discussed in detail, and as a result the integrability property of the chiral string is clarified.

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