Dynamically generating the quark-level SU(2) linear sigma model

Details Dynamically generating the quark-level SU(2) linear sigma model Dynamically generating the quark-level SU(2) linear sigma model

Nov 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001aipc..601...66s&link_type=abstract

THEORETICAL HIGH ENERGY PHYSICS: MRST 2001: A Tribute to Roger Migneron. AIP Conference Proceedings, Volume 601, pp. 66-72 (200

Physics

High Energy Physics

Chiral Lagrangians

Scientific paper

First we study Nambu-type gap equations, δfπ=fπand δmq=mq. Then we exploit the dimensional regularization lemma, subtracting quadratic from log-divergent integrals. The nonperturbative quark loop LσM solution recovers the original Gell-Mann-Levy (tree level) equations along with mσ=2mq and meson-quark coupling g=2π/Nc. Next we use the Ben Lee null tadpole condition to reconfirm that Nc=3 even through loop order. Lastly we show that this loop order LσM a) reproduces the (remarkably successful) VMD scheme in tree order, and b) could be suggested as the infrared limit of low energy QCD. .

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