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Assess decoupling of fermion doublers via increasing the Wilson–Yukawa coupling

Ascertain whether increasing the Wilson–Yukawa coupling G_W in a lattice Standard Model formulation—where fermion mass terms are replaced by Higgs-field Yukawa couplings and the Wilson term parameter r is replaced by G_W—can decouple fermion doublers while preserving the intended continuum chiral and gauge properties.

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Background

Smit discusses a lattice version of the Standard Model employing Wilson fermions, where the Wilson parameter r is generated by a Yukawa-like coupling G_W to the Higgs field. This approach raises the question of whether tuning G_W could remove fermion doublers.

He notes that presenting full details was beyond the scope of the referenced work and explicitly flags uncertainty about whether increasing G_W would successfully decouple the doublers, motivating subsequent investigations into Wilson–Yukawa models and their phase structure.

References

However, presenting this was beyond the scope of the paper and it was also questionable whether decoupling doublers is possible by increasing G_w.

A confederacy of anomalies (2502.03066 - Smit, 5 Feb 2025) in Back to the lattice (discussion surrounding strong-coupling QCD with Wilson fermions)