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EFFECTIVE LAGRANGIANS FOR QCD: DUALITY AND EXACT RESULTS

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Superdense QCD Matter and Compact Stars

Part of the book series: NATO Science Series II: Mathematics, Physics and Chemistry ((NAII,volume 197))

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Abstract

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 laMontonen 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 proves that for three massless flavors at large quark chemical potential CFL is the ground state of matter and is smoothly connected to the ordinary hadronic phase.

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Author information

Authors and Affiliations

  1. NORDITA, Blegdamsvej 17, Copenhagen, DK-2100, Denmark

    Francesco Sannino

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  1. Francesco Sannino
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Editor information

Editors and Affiliations

  1. Rostock University,Germany and JINR Dubna, Russia

    David Blaschke

  2. Yerevan State University, Armenia

    David Sedrakian

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© 2006 Springer

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Sannino, F. (2006). EFFECTIVE LAGRANGIANS FOR QCD: DUALITY AND EXACT RESULTS. In: Blaschke, D., Sedrakian, D. (eds) Superdense QCD Matter and Compact Stars. NATO Science Series II: Mathematics, Physics and Chemistry, vol 197. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3430-X_09

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