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