Improving the ultraviolet behavior in baryon chiral perturbation theory

Details Improving the ultraviolet behavior in baryon chiral perturbation theory Improving the ultraviolet behavior in baryon chiral perturbation theory

2004-07-15

arxiv.org/abs/hep-ph/0407170v2

Phys.Rev.D72:045002,2005

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, 3 figures, REVTeX 4; version to be published in Phys. Rev. D, additional section on issues of renormalization in few

Scientific paper

10.1103/PhysRevD.72.045002

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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