English

Observables in Inhomogeneous Ground States at Large Global Charge

High Energy Physics - Theory 2021-09-17 v1

Abstract

As a sequel to previous work, we extend the study of the ground state configuration of the D=3D=3, Wilson-Fisher conformal O(4)O(4) model. In this work, we prove that for generic ratios of two charge densities, ρ1/ρ2\rho_1/\rho_2, the ground-state configuration is inhomogeneous and that the inhomogeneity expresses itself towards longer spatial periods. This is the direct extension of the similar statements we previously made for ρ1/ρ21\rho_1/\rho_2\ll 1. We also compute, at fixed set of charges, ρ1,ρ2\rho_1,\, \rho_2, the ground state energy and the two-point function(s) associated with this inhomogeneous configuration on the torus. The ground state energy was found to scale (ρ1+ρ2)3/2(\rho_1+\rho_2)^{3/2}, as dictated by dimensional analysis and similarly to the case of the O(2)O(2) model. Unlike the case of the O(2)O(2) model, the ground also strongly violates cluster decomposition in the large-volume, fixed-density limit, with a two-point function that is negative definite at antipodal points of the torus at leading order at large charge.

Keywords

Cite

@article{arxiv.1804.06495,
  title  = {Observables in Inhomogeneous Ground States at Large Global Charge},
  author = {Simeon Hellerman and Nozomu Kobayashi and Shunsuke Maeda and Masataka Watanabe},
  journal= {arXiv preprint arXiv:1804.06495},
  year   = {2021}
}

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25 pages