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arXiv · hep-th/0005264

Recovery of Dirac Equations from Their Solutions

Kurt Just·Zbigniew Oziewicz·Erwin Sucipto
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Abstract

We deal with quantum field theory in the restriction to external Bose fields. Let $(iγ^μ\partial_μ- \mathcal{B})ψ=0$ be the Dirac equation. We prove that a non-quantized Bose field $\mathcal{B}$ is a functional of the Dirac field $ψ$, whenever this $ψ$ is strictly canonical. Performing the trivial verification for the $\mathcal{B} := m = $ constant which yields the free Dirac field, we also prepare the tedious verifications for all $\mathcal{B}$ which are non-quantized and static. Such verifications must not be confused, however, with the easy and rigorous proof of our formula, which is shown in detail.

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Kurt Just, Zbigniew Oziewicz, Erwin Sucipto. 2000-05-27. Recovery of Dirac Equations from Their Solutions. https://doi.org/10.1023/a%3A1003743613162

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