Definition of the Dirac Sea in the Presence of External Fields

Details Definition of the Dirac Sea in the Presence of External Fields Definition of the Dirac Sea in the Presence of External Fields

1997-05-02

arxiv.org/abs/hep-th/9705006v5

Adv.Theor.Math.Phys. 2 (1998) 963-985

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, footnote on page 973 added

Scientific paper

It is shown that the Dirac sea can be uniquely defined for the Dirac equation with general interaction, if we impose a causality condition on the Dirac sea. We derive an explicit formula for the Dirac sea in terms of a power series in the bosonic potentials. The construction is extended to systems of Dirac seas. If the system contains chiral fermions, the causality condition yields a restriction for the bosonic potentials.

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