Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-04-21
Physics
High Energy Physics
High Energy Physics - Phenomenology
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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