Quark level linear σmodel (LσM) via loop graphs
M. D. Scadron
Abstract
First, the LσM is nonperturbatively solved via loop-order gap equations. Then the Nambu-Goldstone theorem (NGT) is expressed in LσM language. Next, the Lee null tadpole sum for this SU(2) LσM theory is shown to require Nc = 3. Then LσM s-wave chiral cancellations are studied in tree-and in loop-order. Also, vector meson dominance (VMD) is shown to follow from this LσM. Next, the scalar nonet is studied in the infinite momentum frame (IMF). Finally, the LσM is suggested as the infrared limit of nonperturbative QCD.
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