Finite-mass vortex worldsheet dynamics and anomaly-induced interactions

Determine the nonlinear effective dynamics and anomaly-induced interactions of normalizable massive pion bound states supported by a superfluid vortex in finite-mass two-color QCD.

Background

The exact normalizable S3 vortex moduli space and its physical worldsheet Wess–Zumino–Witten term rely on the chiral limit. When the quark mass is nonzero, the homogeneous condensate acquires a chiral component, so a uniform S3 rotation extends into the bulk and ceases to be normalizable. The vortex may nevertheless retain normalizable massive pion bound states.

The paper explicitly identifies the finite-mass theory as a distinct deformation whose nonlinear effective dynamics and anomaly-induced interactions have not yet been determined. This problem concerns characterizing those degrees of freedom and their interactions beyond the exact chiral-limit moduli-space construction.

References

The finite-mass problem should thus be regarded as a distinct deformation away from the exact moduli problem, whose nonlinear effective dynamics and anomaly-induced interactions remain to be determined.

— Emergent Conformal Symmetry on Superfluid Vortices in Two-Color QCD and Pseudoreal Gauge Theories  (2609.12080 - Nitta, 10 Sep 2026) in Main text, paragraph beginning “A finite quark mass qualitatively changes the present construction.”