6533b831fe1ef96bd1299085
RESEARCH PRODUCT
Improving the ultraviolet behavior in baryon chiral perturbation theory
Matthias R. SchindlerStefan SchererJambul GegeliaJambul GegeliaDalibor Djukanovicsubject
PhysicsNuclear and High Energy PhysicsBethe–Salpeter equationChiral perturbation theoryNuclear TheoryNuclear TheoryHigh Energy Physics::PhenomenologyPropagatorFOS: Physical sciencesRenormalizationBaryonScattering amplitudeNuclear Theory (nucl-th)High Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)Regularization (physics)Quantum electrodynamicsCutoffMathematical physicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2004-07-15 |