Dirac-Born -Infeld Equations
D.B. Fairlie (University of Durham)
TL;DR
This paper analyzes the properties of the Dirac-Born-Infeld Lagrangian, revealing its behavior on the solution space and its relation to string theory, especially its invariance properties under certain powers.
Contribution
It demonstrates that the Dirac-Born-Infeld Lagrangian is constant or zero on solutions when raised to powers other than 1/2, highlighting a unique invariance property.
Findings
Lagrangian is constant or zero on solutions for powers ≠ 1/2
Properties analogous to Nambu-Goto String
Invariance under specific power transformations
Abstract
Properties of the Dirac-Born-Infeld Lagrangian analogous to those of the Nambu-Goto String are analysed. In particular the Lagrangian is shown to be constant or zero on the space of solutions of the equations of motion if the Lagrangian is taken to any power other than 1/2.
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