Dirac equation for membranes

Abstract

Dirac's idea of taking the square root of constraints is applied to the case of extended objects concentrating on membranes in D=4 space-time dimensions. The resulting equation is Lorentz invariant and predicts an infinite hierarchy of positive and negative masses (tension). There are no tachyonic solutions.

5 pages, 1 figure, v2: improved version, accepted for publication as a Brief Report in Physical Review D

References in corpus (2)

• Benchmarks on the brane
• Lorentz-invariant membranes and finite matrix approximations

Cited by in corpus (3)

• A note on the principle of least action and Dirac matrices
• Dirac equation for strings
• Dirac equation for embedded 4-geometries