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Improving the ultraviolet behavior in baryon chiral perturbation theory

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arxiv hep-ph/0407170 v2 pith:P432PVGE submitted 2004-07-15 hep-ph nucl-th

classification hep-phnucl-th
keywords theoryapproachbaryonbehaviorchiralcutofffew-nucleonformulation
verification ladder T0 review T1 audit T2 compute T3 formal
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We introduce a new formulation of baryon chiral perturbation theory which improves the ultraviolet behavior of propagators and can be interpreted as a smooth cutoff regularization scheme. It is equivalent to the standard approach, preserves all symmetries and therefore satisfies the Ward identities. Our formulation is equally well defined in the vacuum, one- and few-nucleon sectors of the theory. The equations (Bethe-Salpeter, Lippmann-Schwinger, etc.) for the scattering amplitudes of the few-nucleon sector are free of divergences in the new approach. Unlike the usual cutoff regularization, our 'cutoffs' are parameters of the Lagrangian and do not have to be removed.

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Cited by 1 Pith paper

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  1. Gravitational form factors of the deuteron

    nucl-th 2024-11 conditional novelty 6.0 of 10

    First chiral EFT extraction of the deuteron gravitational form factors; D2 and D3 disagree with model calculations, notably D3 is finite at q=0.

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