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arXiv · 2608.05511

Spinor tunnelling amplitudes from all-order Feynman diagram summation

Max Fleming·Cedric Simenel
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Abstract

This work presents a non-perturbative quantum field theoretic computation of spinor tunnelling through a potential barrier. Within position space potential formalism, we identify coupled recursion relations forming a self-consistent integral equation. Our method, enabling both analytical and numerical approaches, transforms into a formalism admitting both numerical framework for arbitrary potentials and analytical exact results for select barriers. For the rectangular barrier, the QFT-derived amplitudes reproduce the relativistic quantum mechanical (RQM) results, thus establishing a foundation for future calculation of beyond-RQM field-theoretic corrections.

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Max Fleming, Cedric Simenel. 2026-08-06. Spinor tunnelling amplitudes from all-order Feynman diagram summation. https://arxiv.org/abs/2608.05511

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