The Dynamics of relativistic membranes. 2. Nonlinear waves and covariantly reduced membrane equations - INSPIRE

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The Dynamics of relativistic membranes. 2. Nonlinear waves and covariantly reduced membrane equations

Martin Bordemann
(
- Freiburg U.
)
,
Jens Hoppe
(
- Karlsruhe U.
)

Aug, 1993

10 pages

Published in:

Phys.Lett.B 325 (1994) 359-365

e-Print:

hep-th/9309025 [hep-th]

DOI:

10.1016/0370-2693(94)90025-6

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

References(16)

Figures(0)

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