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arXiv:2610.09093hep-lat

A gauge-invariant measure for lattice chiral fermions

Nathaniel Craig

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Abstract

We nonperturbatively construct a gauge-invariant measure for overlap fermions on four-dimensional Euclidean lattices in a class of nonabelian chiral gauge theories that includes the Standard Model. On admissible gauge fields, comparing chiral projectors at successive lattice spacings yields an exponentially local current and establishes the global properties needed for Lüscher's reconstruction of a smooth, gauge-invariant fermion measure. This provides a candidate nonperturbative lattice definition of the Standard Model.

arXiv comments
60+63 pages, 12 figures; three supplementary documents included as ancillary files. Mathematical companion and Lean formalization: https://doi.org/10.5281/zenodo.23196062 . Two-dimensional supplement and calculation records: https://doi.org/10.5281/zenodo.23196101
Journal reference
DOI
Subjects
hep-latHigh Energy Physics, Lattice hep-phHigh Energy Physics, Phenomenology hep-thHigh Energy Physics, Theory

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    • I am seeing a lot of high energy physics preprints on arxiv coming with AI acknowledgement recently https://arxiv.org/abs/2610.10673 https://arxiv.org/abs/2610.09093

      bourgie_peasantView on HNParent context

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