Symmetries and Ambiguities in the linear sigma model with light quarks

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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9 pages. Added references through the text; an author was added due to an important contribution; corrected typos; the title a

Scientific paper

We investigate the role of undetermined finite contributions generated by
radiative corrections in a $SU(2)\times SU(2)$ 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.

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