2003/12/30 by Francesco Sannino, Sannino, Francesco
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/0312375
Invited review talk for the the NATO Advanced Research Workshop, "Superdense QCD Matter and Compact Stars", Armenia 2003
arxiv created 2003/12/30 · openalex publication_date 2003/12/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.