Matti Jarvinen, Vadim Kaplunovsky, Jacob Sonnenschein
SciPost Phys. 11, 018 (2021) ·
published 23 July 2021
|
· pdf
Nuclear matter at large number of colors is necessarily in a solid phase. In
particular holographic nuclear matter takes the form of a crystal of instantons
of the flavor group. In this article we initiate the analysis of the
three-dimensional crystal structures and the orientation patterns for the
two-body potential that follows from holographic duality. 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
antiferromagnetic 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.
Prof. Jarvinen: "We thank the referee for repor..."
in Submissions | report on Many Phases of Generalized 3D Instanton Crystals