Baryons as solitons

Walliser, Hans
March 2000
AIP Conference Proceedings;2000, Vol. 508 Issue 1, p13
Academic Journal
Chiral lagrangians as effective field theories of QCD are successfully applied to meson physics in the framework of chiral perturbation theory. Because of their nonlinear structure these lagrangians allow for static soliton solutions interpreted as baryons. Their semiclassical quantization, which provides the leading order in an 1/N[sub C] expansion with N[sub C] the number of colors, turned out to be insufficient to obtain satisfactory agreement with empirical baryon observables. However with N[sub C]=3, large corrections are expected in the next-to-leading order carried by mesonic fluctuations around the soliton background, which require renormalization to 1-loop. In contrast to chiral perturbation theory, the low-energy lagrangian proves inapt and terms with an arbitrary number of gradients may in principle contribute. Assumptions about the a priori unknown higher chiral orders are tested by the scale-dependence of the results. For example, in the simple Sine-Gordon model with 1 scalar field in 1+1 dimensions, knowledge of the low-energy behavior together with the mere existence of an underlying 1-loop renormalizable scale-independent solitonic theory is sufficient to regain the full solution. Baryonic observables calculated within that framework generally lead to better agreement with experiment except for the axial quantities. For these quantities the 1/N[sub C] expansion does not converge sufficiently fast because the current algebra mixes different N[sub C] orders. © 2000 American Institute of Physics.


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