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- Homework Statement
- Obtain the relativictic lower order correction to the Coulombian potential

- Relevant Equations
- Those ones that are in the appended photo

I have derived the Coulombian potential as an effective potential between two spinless charged particle taking the non-relativitic approach on the scattering amplitude obtained in terms of the Feynman rules in SQED.

The scattering amplitudes are:

I'm using the gauge in which xi = 1.

How could I obtain the relativistic lower order correction of the Coulombian potential using those amplitudes??

The scattering amplitudes are:

I'm using the gauge in which xi = 1.

How could I obtain the relativistic lower order correction of the Coulombian potential using those amplitudes??