Quark level linear σmodel (LσM) via loop graphs

Details Quark level linear σmodel (LσM) via loop graphs Quark level linear σmodel (LσM) via loop graphs

2000-07-18

arxiv.org/abs/hep-ph/0007184v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, 8 figures, invited talk at the scalar meson workshop, Kyoto, June 2000

Scientific paper

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

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