Large Nc means Nc=3

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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9 pages, LaTeX. Invited talk given at the Large Nc Workshop, ASU, January 2002

Scientific paper

We show that the nonperturbative solution of the SU(2) linear sigma model field theory requires color number Nc=3. Also, we show that the three-point and four-point functions bootstrap (or nonperturbatively ``shrink'') in the chiral limit to the tree amplitudes. Independently, we show that a chiral phase transition for Nf=2 requires Tc=180 MeV, consistent with the computer lattice value (173 +/- 8 MeV).

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