arXiv:hep-ph/0503245·v4·High Energy Physics — Phenomenology
Symmetries and Ambiguities in the linear sigma model with light quarks
E. W. Dias (1)🇧🇷 · Brigitte Hiller (2)🇵🇹 · A. L. Mota (3)🇧🇷 · M. C. Nemes (2,4)🇧🇷 · M. Sampaio (1)🇧🇷 · A. A. Osipov (4) ((1)Universidade Federal de Minas Gerais (2)Universidade de Coimbra, (3)Universidade Federal de Sao Joao del Rei, (4)Joint Institute for Nuclear Research - Laboratory of Nuclear Problems)🇵🇹
Abstract
We investigate the role of undetermined finite contributions generated by radiative corrections in a linear sigma model with quarks. Although some of such terms can be absorbed in the renormalization procedure, one such contribution is left in the expression for the pion decay constant. This arbitrariness is eliminated by chiral symmetry.
Comments: 9 pages. Added references through the text; an author was added due to an important contribution; corrected typos; the title also was changed. Submitted to Modern Physics Letters