Speaker
Description
Nuclear at large number of colors is necessarily in a solid phase. I will explain this fact. In particular holographic nuclear matter takes the form of a crystal of instantons of the flavor group. In this talk I will briefly review the passage from holographic baryonic matter in the Sakai-Sugimoto model to crystansl of instantons. The analysis of the three- dimensional crystal structures and the orientation patterns for the two-body potential that follows from holographic duality will be presented. The outcome of the analysis includes several unexpected results. We perform simulations of ensembles of O(10000) instantons whereby we identify the lattice structure and orientations for the different values of the weight factors of the non-Abelian orientation terms in the two-body potential. The resulting phase diagram is surprisingly complex, including a variety of ferromagnetic and anti-ferromagnetic crystals with various global orientation patterns, and various non-Abelian crystals where orientations have no preferred direction. The latter include variants of face-centered-cubic, hexagonal, and simple cubic crystals which may have remarkably large or small aspect ratios. The simulation results are augmented by analytic analysis of the long-distance divergences, and numerical computation of the (divergence free) energy differences between the non-Abelian crystals, which allows us to precisely determine the structure of the phase diagram.
