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arXiv · 2508.09254

Quantifying non-invertible chiral symmetry breaking

Finn Gagliano
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Abstract

It has recently been suggested that the chiral symmetry of the Standard Model is not explicitly broken by its ABJ anomaly, but is instead made non-invertible. In this work, I quantify the breaking of non-invertible symmetries of this type by calculating the symmetry breaking scales and effective charges $q(r)$ originally studied for continuous invertible higher-form symmetries. As an example I consider the explicit breaking of the chiral symmetry of massless QED by introducing Yukawa couplings between the electron and a massive real scalar in the UV. I briefly comment on how one might quantify the breaking of general non-invertible symmetries.

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Finn Gagliano. 2025-08-12. Quantifying non-invertible chiral symmetry breaking. https://arxiv.org/abs/2508.09254

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