The DOI matches its Crossref record; 13 of the 13 references it cites were found in a registry or an index.
Combinatorics of gauge fields
Open accessOverview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Broken Symmetries and the Masses of Gauge Bosons
Higgs, P. W. (1964) · Physical Review Letters · doi:10.1103/physrevlett.13.508 · Cited by 4,643
Regularization and renormalization of gauge fields
't Hooft, G., & Veltman, M. (1972) · Nuclear Physics B · doi:10.1016/0550-3213(72)90279-9 · Cited by 4,593
Self-citationBroken Symmetry and the Mass of Gauge Vector Mesons
Englert, F., & Brout, R. (1964) · Physical Review Letters · doi:10.1103/physrevlett.13.321 · Cited by 4,109
Conservation of Isotopic Spin and Isotopic Gauge Invariance
Yang, C. N., & Mills, R. L. (1954) · Physical Review · doi:10.1103/physrev.96.191 · Cited by 3,272
Broken symmetries, massless particles and gauge fields
Higgs, P. W. (1964) · Physics Letters · doi:10.1016/0031-9163(64)91136-9 · Cited by 3,080
Global Conservation Laws and Massless Particles
Guralnik, G. S., Hagen, C. R., & Kibble, T. W. B. (1964) · Physical Review Letters · doi:10.1103/physrevlett.13.585 · Cited by 2,847
Feynman diagrams for the Yang-Mills field
Faddeev, L. D., & Popov, V. N. (1967) · Physics Letters B · doi:10.1016/0370-2693(67)90067-6 · Cited by 1,943
Spontaneous Symmetry Breakdown without Massless Bosons
Higgs, P. W. (1966) · Physical Review · doi:10.1103/physrev.145.1156 · Cited by 1,924
Symmetry Breaking in Non-Abelian Gauge Theories
Kibble, T. W. B. (1967) · Physical Review · doi:10.1103/physrev.155.1554 · Cited by 1,342
Renormalizable Lagrangians for massive Yang-Mills fields
Hooft, G. '. (1971) · Nuclear Physics B · doi:10.1016/0550-3213(71)90139-8 · Cited by 1,269
Self-citation
Cited by
A planar diagram theory for strong interactions
Hooft, G. '. (1974) · Nuclear Physics B · doi:10.1016/0550-3213(74)90154-0 · Cited by 4,476
Self-citationSymmetry Breaking through Bell-Jackiw Anomalies
't Hooft, G. (1976) · Physical Review Letters · doi:10.1103/physrevlett.37.8 · Cited by 3,362
Topology of the gauge condition and new confinement phases in non-abelian gauge theories
Hooft, G. '. (1981) · Nuclear Physics B · doi:10.1016/0550-3213(81)90442-9 · Cited by 1,525
Self-citationPrecision electroweak measurements on the Z resonance
(2006) · Physics Reports · doi:10.1016/j.physrep.2005.12.006 · Cited by 1,525
Asymptotic Behavior of Non-Abelian Gauge Theories to Two-Loop Order
Caswell, W. E. (1974) · Physical Review Letters · doi:10.1103/physrevlett.33.244 · Cited by 1,079
Metadata
- Authors
- Hooft, G. '., & Veltman, M.
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1972
- Volume
- 50
- Issue
- 1
- Pages
- 318-353
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2018666383
- Cited by
- 506
- References
- 13
- FWCI
- 21.64
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Combinatorics of gauge fields. https://app.cochat.ai/papers/10.1016/s0550-3213(72)80021-x
- The paper
- Hooft, G. '., & Veltman, M. (1972). Combinatorics of gauge fields. Nuclear Physics B. https://doi.org/10.1016/s0550-3213(72)80021-x
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
