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.

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