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The index theorem in QCD with a finite cut-off

2 Pith papers cite this work, alongside 506 external citations. Polarity classification is still indexing.

2 Pith papers citing it
506 external citations · Pith
abstract

The fixed point Dirac operator on the lattice has exact chiral zero modes on topologically non-trivial gauge field configurations independently whether these configurations are smooth, or coarse. The relation $n_L-n_R = Q^{FP}$, where $n_L$ $(n_R)$ is the number of left (right)-handed zero modes and $Q^{FP}$ is the fixed point topological charge holds not only in the continuum limit, but also at finite cut-off values. The fixed point action, which is determined by classical equations, is local, has no doublers and complies with the no-go theorems by being chirally non-symmetric. The index theorem is reproduced exactly, nevertheless. In addition, the fixed point Dirac operator has no small real eigenvalues except those at zero, i.e. there are no 'exceptional configurations'.

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fields

hep-ph 2

years

2026 1 2025 1

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UNVERDICTED 2

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background 1

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background 1

representative citing papers

Lepton anomalous magnetic moments: Theory

hep-ph · 2025-12-20 · unverdicted · novelty 2.0

The paper provides an overview of theoretical calculations for lepton anomalous magnetic moments arising from quantum corrections in the Standard Model.

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Showing 2 of 2 citing papers.