English

Chiral effective-field theory with a resonance and heavy fields

Nuclear Theory 2014-11-20 v2 High Energy Physics - Phenomenology

Abstract

Several conceptual points concerning the inclusion of the Δ\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.

Keywords

Cite

@article{arxiv.0910.3686,
  title  = {Chiral effective-field theory with a resonance and heavy fields},
  author = {Vladimir Pascalutsa},
  journal= {arXiv preprint arXiv:0910.3686},
  year   = {2014}
}

Comments

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