Roles of axial anomaly effects in cold and dense two-color QCD with flavors
Manato Sakai🇯🇵 · Daiki Suenaga🇯🇵
We explore phase structures and hadron mass spectra in cold and dense two-color QCD with flavors where the sign problem disappears. We particularly focus on axial anomaly effects. We employ an linear sigma model based on the Pauli-Gürsey symmetry to describe negative-parity as well as positive-parity hadrons, for which low-energy excitations are appropriately described particularly in the baryon superfluid phase with light diquark condensates. As a result, the strange chiral condensate is found to be enhanced in the superfluid phase owing to the flavor-mixing structure of axial anomaly effects. We also confirm this enhancement by means of the Nambu--Jona-Lasinio model. Besides, our present analysis predicts the existence of a novel superfluid phase where heavy diquarks condense in dense regime. The topological susceptibility with flavors from the viewpoints of the anomaly effects and chiral-symmetry restoration is investigated. Furthermore, we derive a complete inverse mass hierarchy for negative-parity diquarks with sufficient anomaly effects. Our findings are expected to provide future lattice simulations with useful information on flavor-symmetry violation from the axial anomaly aspects in cold and dense two-color QCD medium.