Dirac equation for membranes

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1103/PhysRevD.84.087701

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.

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