The Dynamics of relativistic membranes. 2. Nonlinear waves and covariantly reduced membrane equations
Aug, 199310 pages
Published in:
- Phys.Lett.B 325 (1994) 359-365
e-Print:
- hep-th/9309025 [hep-th]
Report number:
- FREIBURG-THEP-93-19,
- KA-THEP-5-93
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Abstract: (Elsevier)
By explicitly eliminating all gauge degrees of freedom in the 3 + 1-gauge description of a classical relativistic (open) membrane moving in R 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.- membrane model: relativistic
- dimension: 4
- quantum mechanics: nonlinear
- dimension: 3
- group theory: Poincare
- light cone gauge
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