The Dynamics of Relativistic Membranes II: Nonlinear Waves and Covariantly Reduced Membrane Equations

Details The Dynamics of Relativistic Membranes II: Nonlinear Waves and Covariantly Reduced Membrane Equations The Dynamics of Relativistic Membranes II: Nonlinear Waves and Covariantly Reduced Membrane Equations

1993-09-03

arxiv.org/abs/hep-th/9309025v1

Phys.Lett.B325:359-365,1994

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, LATEX, FR-THEP-93-19 and KA-THEP-5-93

Scientific paper

10.1016/0370-2693(94)90025-6

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 Poincar\'e 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 Poincar\'e-invariant nonlinear wave-equation. This approach also gives a simple derivation of the nonlinear gas dynamic equation obtained in the light-cone gauge.

Affiliated with

Also associated with

No associations

Rating

The Dynamics of Relativistic Membranes II: Nonlinear Waves and Covariantly Reduced Membrane Equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Dynamics of Relativistic Membranes II: Nonlinear Waves and Covariantly Reduced Membrane Equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Dynamics of Relativistic Membranes II: Nonlinear Waves and Covariantly Reduced Membrane Equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-198194