Effective Lagrangians for QCD, Duality and Exact Results

Details Effective Lagrangians for QCD, Duality and Exact Results Effective Lagrangians for QCD, Duality and Exact Results

2003-12-30

arxiv.org/abs/hep-ph/0312375v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

Invited review talk for the the NATO Advanced Research Workshop, "Superdense QCD Matter and Compact Stars", Armenia 2003

Scientific paper

I briefly discuss effective Lagrangians for strong interactions while concentrating on two specific lagrangians for QCD at large matter density. I then introduce spectral duality in QCD a la Montonen and Olive. The latter is already present in QCD in the hadronic phase. However it becomes transparent at large chemical potential. Finally I show the relevance of having exact non perturbative constraints such as t'Hooft anomaly conditions at zero and nonzero quark chemical potential on the possible phases of strongly interacting matter. An important outcome is that for three massless quarks at any chemical potential the only non trivial solution of the constraints is chiral symmetry breaking. This also shows that for three massless flavors at large quark chemical potential CFL is the ground state.

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