Chiral effective-field theory with a resonance and heavy fields

Abstract

Several conceptual points concerning the inclusion of the $\Delta$(1232) resonance in the framework of chiral effective-field theory are discussed, with an emphasis on the problem of power counting in the baryon sector in general. I also formulate a new dispersion relation in the pion-mass squared (or, the quark mass) and make a link between the power counting and the analytic properties of chiral expansion. A controversy regarding the determination of the proton's magnetic polarizability from Compton-scattering data is stressed here as well.

Comments: 10 pages, 3 figures, contribution to the 6th International Workshop on Chiral Dynamics (July 6-10 2009, Bern, Switzerland)