Effective Lagrangians for QCD, Duality and Exact Results
arXiv:hep-ph/0312375
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 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.
Invited review talk for the the NATO Advanced Research Workshop, "Superdense QCD Matter and Compact Stars", Armenia 2003
References in corpus (14)
- Continuity of Quark and Hadron Matter
- Confinement versus Chiral Symmetry
- The Superfluid and Conformal Phase Transitions of Two-Color QCD
- Dispersion Laws for In-medium Fermions and Gluons in the CFL Phase of QCD
- Polyakov Loops versus Hadronic States
- General Structure of Relativistic Vector Condensation
- A Note on Anomaly Matching for Finite Density QCD
- Induced Universal Properties and Deconfinement
- Diquark condensation effects on hot quark star configurations
- Positivity and Dense Matter
- N=1 Matter from Fractional Branes
- The Skyrme Model for Baryons
- Duality in the Color Flavor Locked Spectrum
- Anomaly Matching and Low Energy Theories at High Matter Density