Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-05-24
JHEP 0008:005,2000
Physics
High Energy Physics
High Energy Physics - Phenomenology
27 Pages, 1 figure, v2: references added, minor improvements
Scientific paper
10.1088/1126-6708/2000/08/005
Previous work relating the flavour variation of the chiral order parameters $F_\pi$, $<\bar u u>$ and S-wave scattering data, based on chiral sum rules and chiral perturbation theory at order $p^4$, is extended to include $O(p^6)$ corrections. The finding of a significant decrease of these order parameters, particularly $<\bar u u>$, with the number of flavours increasing from $N_F=2$ to $N_F=3$ is confirmed, modulo an assumption on the convergence of the chiral expansion. The connection between scalar resonance physics and the phase structure of the chiral vacuum is also illustrated on the basis of the linear sigma-model. We allow for a very general symmetry breaking sector compatible with softness. The result depends strongly on the input scalar meson masses, in particular, on the presence, or not, of a light sigma.}
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