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 D = 3, WilsonFisher conformal O(4) model. In this work, we prove that for generic ratios of two charge densities, ρ_{1}/ρ_{2}, the groundstate 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 ρ_{1}/ρ_{2} ≪ 1. We also compute, at fixed set of charges, ρ_{1}, ρ_{2}, the ground state energy and the twopoint function(s) associated with this inhomogeneous configuration on the torus. The ground state energy was found to scale (ρ_{1} + ρ_{2})^{3/2}, as dictated by dimensional analysis and similarly to the case of the O(2) model. Unlike the case of the O(2) model, the ground also strongly violates cluster decomposition in the largevolume, fixeddensity limit, with a twopoint function that is negative definite at antipodal points of the torus at leading order at large charge.
 Publication:

Journal of High Energy Physics
 Pub Date:
 August 2021
 DOI:
 10.1007/JHEP08(2021)079
 arXiv:
 arXiv:1804.06495
 Bibcode:
 2021JHEP...08..079H
 Keywords:

 Conformal Field Theory;
 Effective Field Theories;
 Renormalization Group;
 High Energy Physics  Theory
 EPrint:
 25 pages