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We formulate point-particle effective field theory (PPEFT) for relativistic spin-half fermions interacting with a massive, charged finite-sized source using a first-quantized effective field theory for the heavy compact object and a second-quantized language for the lighter fermion with which it interacts.
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For a clear introduction to the ambiguities otherwise hit for the inverse-square potential, see for example, A.M. Essin and D.J. Griffiths, Am. J. Phys.74 (2), 109Ð117 (2006)
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Cited in the paper.
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Franziska Hagelstein and Vladimir Pascalutsa, “Breakdown of the expansion of finite-size corrections to the hydrogen Lamb shift in moments of charge distribution,” Phys. Rev. A, 91
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D. M. Jacobs, “An artificial boundary approach for short-ranged interactions,” J. Phys. A 49
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