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arXiv · 2411.19592

Axial anomaly in the presence of arbitrary spinor interactions

Jan Dereziński·Adam Latosiński
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Abstract

We consider N Dirac fermions on a 4-dimensional Euclidean space with a quadratic interaction given by arbitrary external Clifford-valued fields. The divergence of the axial current satisfies on the classical level a relation that is violated after quantization. Using the Pauli-Villars method to regularize the fields, we find the conditions that guarantee the finiteness of the anomaly. We also find this anomaly. Our result generalizes the well-known computation of axial anomaly of Dirac fermions interacting with an external Yang-Mills field.

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Jan Dereziński, Adam Latosiński. 2024-11-29. Axial anomaly in the presence of arbitrary spinor interactions. https://arxiv.org/abs/2411.19592

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