• Corpus ID: 119503082

Sommerfeld effect as the vertex correction in three-dimensional space

  title={Sommerfeld effect as the vertex correction in three-dimensional space},
  author={Zhentao Zhang},
  journal={arXiv: High Energy Physics - Theory},
  • Zhentao Zhang
  • Published 24 January 2017
  • Physics
  • arXiv: High Energy Physics - Theory
It is shown that the correction to the vertex for fermion pair annihilation and production in the low-energy region is equal to the value of the wave function for the two-body system at the origin. The procedure also shows directly that the emergence of the Sommerfeld effect in quantum mechanics is the product of the reduction of the vertex correction from four spacetime dimensions to three-dimensional space. Meanwhile, the reciprocal wave function is introduced into quantum mechanics. 

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      See appendix A for a detailed discussion