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Improving the ultraviolet behavior in baryon chiral perturbation theory

D. Djukanovic·M. R. Schindler·J. Gegelia·S. Scherer
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Abstract

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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D. Djukanovic, M. R. Schindler, J. Gegelia, S. Scherer. 2005-08-04. Improving the ultraviolet behavior in baryon chiral perturbation theory. https://doi.org/10.1103/physrevd.72.045002

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