Dimension Changing Phase Transitions in Instanton Crystals

Understand

We investigate lattices of instantons and the dimension-changing transitions between them.

• Our ultimate goal is the 3D->4D transition, which is holographically dual to the phase transition between the baryonic and the quarkyonic phases of cold nuclear matter.
• However, in this paper (just as in [1]) we focus on lower dimensions -- the 1D lattice of instantons in a harmonic potential V M_2^2x_2^2+M_3^2x_2^2+M_4^2x_4^2 and the zigzag-shaped lattice as a first stage of the 1D->2D transition.
• We prove that in the low- and moderate-density regimes, interactions between the instantons are dominated by two-body forces.