Observables in Inhomogeneous Ground States at Large Global Charge
Abstract
As a sequel to previous work, we extend the study of the ground state configuration of the , Wilson-Fisher conformal model. In this work, we prove that for generic ratios of two charge densities, , 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 . We also compute, at fixed set of charges, , 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 , as dictated by dimensional analysis and similarly to the case of the model. Unlike the case of the 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}
}
Comments
25 pages