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Comment on "Taming the pion cloud of the nucleon"

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arxiv 1206.3671 v1 pith:QTW7RSJC submitted 2012-06-16 nucl-th hep-ph

classification nucl-thhep-ph
keywords self-energyinteractionnucleonpionpion-nucleonadditionalalbergbehavior
verification ladder T0 review T1 audit T2 compute T3 formal
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In a recent Letter, Alberg and Miller presented a calculation of the pion contributions to the self-energy of the nucleon computed from a pseudoscalar (PS) pion-nucleon interaction, with the claim that the result would be equivalent to that with the pseudovector (PV) form. We demonstrate that the PV and PS pion-nucleon couplings do in fact lead to different results for the self-energy. In particular, for the model-independent, leading nonanalytic behavior of the self-energy, the PV theory yields the well-known m_\pi^3 dependence in the chiral limit, while the PS interaction involves an additional, lower-order term ~ m_\pi^2 log(m_\pi^2).

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