An Action Principle for the Masses of Dirac Particles
Felix Finster, Stefan Hoch
TL;DR
This paper introduces a variational principle for vacuum Dirac seas, analyzing its implications in position and momentum space, and explores numerical minimizers to understand state stability.
Contribution
It presents a novel variational principle for Dirac seas and connects the resulting equations to state stability, supported by numerical examples.
Findings
Numerical minimizers constructed and discussed
Euler-Lagrange equations related to state stability
Action formulated in position and momentum space
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.
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