PreprintCC BY-NC-SA 4.0arXiv
A Vector-Vector-Axial Anomaly in 4D
Abstract
Because it offers exactly-integer topological quantities, the modified Villain discretization offers a route to correct anomaly structure at finite lattice spacing. I will present a 4-dimensional purely-bosonic modified Villain model with an ABJ-type vector-vector-axial anomaly. The model may have a direct continuous phase transition from one SSB phase to another, giving hope of yielding 4D CFT with a VVA anomaly.
Related
- Exact chiral symmetry, non-Hermiticity, and the axial anomaly on the lattice: A symmetry-class criterion for disorder-induced undoubling
- 1+1d Lattice Dirac Fermions from Non-Onsite Vector and Axial Symmetries
- Distribution amplitudes of vector and axial-vector mesons in a nonperturbatively improved symmetry-preserving framework
- Probing the Electromagnetic Structure of Heavy-Light Hybrid Mesons with Vector and Axial-Vector Quantum Numbers
- Decomposition of the axial-vector current in a finite box
BibTeX
@misc{berkowitz2026vectorvectoraxial,
title = {{A Vector-Vector-Axial Anomaly in 4D}},
author = {Evan Berkowitz and Shi Chen and Aleksey Cherman},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.17369},
eprint = {2609.17369},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.17369},
note = {CC BY-NC-SA 4.0},
}
RIS
TY - UNPB
TI - A Vector-Vector-Axial Anomaly in 4D
AU - Evan Berkowitz
AU - Shi Chen
AU - Aleksey Cherman
PY - 2026
DA - 2026/09/15
PB - arXiv
DO - 10.48550/arxiv.2609.17369
UR - https://arxiv.org/abs/2609.17369
AB - Because it offers exactly-integer topological quantities, the modified Villain discretization offers a route to correct anomaly structure at finite lattice spacing. I will present a 4-dimensional purely-bosonic modified Villain model with an ABJ-type vector-vector-axial anomaly. The model may have a direct continuous phase transition from one SSB phase to another, giving hope of yielding 4D CFT with a VVA anomaly.
ER -