A PCAC puzzle: π0→γγ in the σ-model
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Several defining physical properties of Weyl fermions, such as the chiral anomaly, continue to hold in the nonrelativistic condensed matter context.
“Remarkably several of the defining physical properties of Weyl fermions, such as the so-called chiral anomaly, continue to hold in this nonrelativistic condensed matter context.”
From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Bell and Jackiw, 1969
A single Weyl fermion coupled to an electromagnetic field results in the nonconservation of electric charge.
“The chiral anomaly discussed by Adler-Bell-Jackiw (Adler, 1969; Bell and Jackiw, 1969), is an example of a quantum anomaly which in its simplest incarnation demonstrates that a single Weyl fermion coupled to an electromagnetic field results in the nonconservation of electric charge.”
From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Bell and Jackiw, 1969
The chiral anomaly is associated with Weyl fermions.
“Perhaps the most primitive example is the so-called chiral anomaly associated with Weyl fermions23456.”
From Signatures of the Adler–Bell–Jackiw chiral anomaly in a Weyl fermion semimetal (2016) · cites this paper as [4]
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References 8 · Cited by 3,284
- Authors
- Bell, J. S., & Jackiw, R.
- Affiliations
- European Organization for Nuclear Research (CH)
- Harvard University (US)
- ORCID
- Bell, J. S.
- Venue
- Il Nuovo Cimento A
- Published
- 1969-03
- Volume
- 60
- Issue
- 1
- Pages
- 47-61
- ISSN
- 0369-3546 (ISSN-L)
- 1826-9869
- OpenAlex
- W1748447111
- Cited by
- 3,284
- References
- 8
- Citations by year
- 2026: 75 · 2025: 103 · 2024: 103 · 2023: 127 · 2022: 129 · 2021: 159 · 2020: 145 · 2019: 141 · 2018: 149 · 2017: 129 · 2016: 130 · 2015: 76 · 2014: 75 · 2013: 66 · 2012: 69
- FWCI
- 19.31
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Nuovo cimento della Società italiana di fisica. A, Nuclei, particles and fields (publishedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Quantum Chromodynamics and Particle Interactions
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Nuclear physics research studies
- Keywords
- pion photoproduction, PCAC, sigma model, gauge invariance, effective coupling constant, pion mass, perturbation theory
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