Perturbation dynamics for membranes and strings governed by the Dirac-Goto-Nambu action in curved space

Details Perturbation dynamics for membranes and strings governed by the Dirac-Goto-Nambu action in curved space Perturbation dynamics for membranes and strings governed by the Dirac-Goto-Nambu action in curved space

Nov 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phrvd..48.4835c&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 48, Issue 10, 15 November 1993, pp.4835-4838

Physics

49

Scientific paper

It is shown how to set up a concise and fully covariant formalism, in terms of an appropriate (geodesically defined) displacement vector ξμ, in such a way that the corresponding second order perturbation of the Dirac-Goto-Nambu action itself provides the action for a convenient secondary variation principle governing the linearized dynamics of first order perturbations of the relevant membrane and string models in an arbitrarily curved background, as well as determining the corresponding conserved symplectic current associated with any pair of distinct solutions ξμ and ξ\` μ on the world sheet.

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