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The Dynamics of Relativistic Membranes II: Nonlinear Waves and Covariantly Reduced Membrane Equations | Martin Bordemann
; Jens Hoppe
; | Date: |
3 Sep 1993 | Journal: | Phys.Lett. B325 (1994) 359-365 | Subject: | hep-th | Abstract: | By explicitly eliminating all gauge degrees of freedom in the $3+1$-gauge description of a classical relativistic (open) membrane moving in $Real^3$ we derive a $2+1$-dimensional nonlinear wave equation of Born-Infeld type for the graph $z(t,x,y)$ which is invariant under the Poincaré group in four dimensions. Alternatively, we determine the world-volume of a membrane in a covariant way by the zeroes of a scalar field $u(t,x,y,z)$ obeying a homogeneous Poincaré-invariant nonlinear wave-equation. This approach also gives a simple derivation of the nonlinear gas dynamic equation obtained in the light-cone gauge. | Source: | arXiv, hep-th/9309025 | Services: | Forum | Review | PDF | Favorites |
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