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PreprintCC BY 4.0arXiv

Nonperturbative Chiral Anomaly Cancellation and Irrelevant Operators

  • Michele Bianchessi
  • Vieri Mastropietro
  • Marcello Porta
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Abstract

The Chiral anomaly cancellation is perturbatively well understood but its nonperturbative validity in presence of a lattice has remained unproven. We provide a rigorous nonperturbative proof of anomaly cancellation and its universality in a variation of the lattice Kogut-Susskind regularization for the multiflavor Sommerfield model, describing Dirac fermions interacting with a non-compact U(1) quantum vector field. We identify a novel and general mechanism based on the convergence properties of the renormalized expansion and related to the one leading to universality in topological insulators. Irrelevant lattice operators, despite being suppressed along the RG flow, provide essential contributions to the anomaly cancellation.

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Cite

BibTeXRIS
BibTeX
@misc{bianchessi2026nonperturbative,
  title = {{Nonperturbative Chiral Anomaly Cancellation and Irrelevant Operators}},
  author = {Michele Bianchessi and Vieri Mastropietro and Marcello Porta},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.19917},
  eprint = {2609.19917},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.19917},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Nonperturbative Chiral Anomaly Cancellation and Irrelevant Operators
AU  - Michele Bianchessi
AU  - Vieri Mastropietro
AU  - Marcello Porta
PY  - 2026
DA  - 2026/09/17
PB  - arXiv
DO  - 10.48550/arxiv.2609.19917
UR  - https://arxiv.org/abs/2609.19917
AB  - The Chiral anomaly cancellation is perturbatively well understood but its nonperturbative validity in presence of a lattice has remained unproven. We provide a rigorous nonperturbative proof of anomaly cancellation and its universality in a variation of the lattice Kogut-Susskind regularization for the multiflavor Sommerfield model, describing Dirac fermions interacting with a non-compact U(1) quantum vector field. We identify a novel and general mechanism based on the convergence properties of the renormalized expansion and related to the one leading to universality in topological insulators. Irrelevant lattice operators, despite being suppressed along the RG flow, provide essential contributions to the anomaly cancellation.
ER  -