Form-factor analysis for systems with coexisting order parameters

Investigate systems with multiple coexisting order parameters that break different symmetries and determine whether the form factor S_f can quantitatively identify which order parameter dominates the evolution.

Background

The form factor S_f is introduced as a momentum-space fingerprint of topological-defect cores, with its high-momentum exponent determined by spatial dimension and defect codimension. The analysis in the paper considers systems characterized by a single relevant order-parameter structure at a time.

The authors propose that S_f could serve as a quantitative diagnostic in systems containing multiple order parameters breaking different symmetries, but they explicitly state that this possibility has not been investigated. The unresolved issue is whether the form factor can distinguish the competing contributions and reliably determine which order parameter controls the evolution.