Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated 46 min ago
PreprintCC BY 4.0arXiv

A gauge-invariant measure for lattice chiral fermions

  • Nathaniel Craig
Open at sourcePDFDOICite

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.

Related

  1. A Note On Lattice Definition of Gauge Theories With Chiral Fermions
    Edward Witten
    arXivPreprintarXiv licenceFull textHigh-energy & particle physicsarXiv
  2. Progress on meson-glueball mixing in lattice gauge theories coupled to fermions in multiple representations
    Nuno Brito, Ed Bennett, Deog Ki Hong +6
    arXivPreprintCC BY 4.0Full textHigh-energy & particle physicsarXiv
  3. Symmetric mass generation of interacting chiral fermions on a one-dimensional lattice without fermion doubling
    V. A. Zakharov, Atsushi Ueda, Frank Verstraete +1
    arXivPreprintarXiv licenceFull textCondensed matterHigh-energy & particle physicsarXiv
  4. Single Dirac Fermions on a Lattice: A Unified View of Chiral and Parity Anomalies in Condensed Matter
    Shun-Qing Shen
    arXivPreprintCC BY 4.0Full textCondensed matterarXiv
  5. Symplectic lattice gauge theories in the Grid framework: domain wall fermions and continuum extrapolations
    Ed Bennett, Peter A. Boyle, Luigi Del Debbio +10
    arXivPreprintCC BY 4.0Full textHigh-energy & particle physicsarXiv

Cite

BibTeXRIS
BibTeX
@misc{craig2026gaugeinvariant,
  title = {{A gauge-invariant measure for lattice chiral fermions}},
  author = {Nathaniel Craig},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.09093},
  eprint = {2610.09093},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.09093},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A gauge-invariant measure for lattice chiral fermions
AU  - Nathaniel Craig
PY  - 2026
DA  - 2026/10/06
PB  - arXiv
DO  - 10.48550/arxiv.2610.09093
UR  - https://arxiv.org/abs/2610.09093
AB  - 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.
ER  -