Sommerfeld effect as the vertex correction in three-dimensional space
@article{Zhang2017SommerfeldEA, title={Sommerfeld effect as the vertex correction in three-dimensional space}, author={Zhentao Zhang}, journal={arXiv: High Energy Physics - Theory}, year={2017} }
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.
Figures from this paper
References
SHOWING 1-10 OF 15 REFERENCES
Quantum Electrodynamics
- PhysicsNature
- 1947
THE subject of quantum electrodynamics is extremely difficult, even for the case of a single electron. The usual method of solving the corresponding wave equation leads to divergent integrals. To…
We shall leave the quotation marks of the "Fourier transform" for simplicity
Update: A follow-up paper is available on my personal website www.physzhang.com. Feel free to ask me for a copy when necessary
Phys
- Rev. D 79, 083523
- 2009
Pis’ma Zh
- Eksp. Teor. Fiz. 46, 417 (1987) [JETP Lett. 46, 525
- 1987
Phys
- Rev. D 79, 015014
- 2009
A brief review of the Sommerfeld effect can be
- Phys. Rev. D
- 2009
Phys
- Rev. Lett 34, 43
- 1975