Advances in Theoretical and Mathematical Physics

Volume 13 (2009)

Number 6

An action principle for the masses of Dirac particles

Pages: 1653 – 1711

DOI: https://dx.doi.org/10.4310/ATMP.2009.v13.n6.a2

Authors

Felix Finster

Stefan Hoch

Abstract

A variational principle is introduced which minimizes an action formulated for configurations of vacuum Dirac seas. The action is analyzed in position and momentum space. We relate the corresponding Euler- Lagrange equations to the notion of state stability. Examples of numerical minimizers are constructed and discussed.

Published 1 January 2009