Dirac equation for membranes
High Energy Physics - Theory
2011-11-02 v2 High Energy Physics - Phenomenology
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1103.1964,
title = {Dirac equation for membranes},
author = {Maciej Trzetrzelewski},
journal= {arXiv preprint arXiv:1103.1964},
year = {2011}
}
Comments
5 pages, 1 figure, v2: improved version, accepted for publication as a Brief Report in Physical Review D