Advances in Theoretical and Mathematical Physics

Volume 13 (2009)

Number 6

An action principle for the masses of Dirac particles

Pages: 1653 – 1711



Felix Finster

Stefan Hoch


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.

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