The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
Current-Mass Ratios of the Light Quarks
Abstract
We investigate the current-mass ratios of the light quarks by fitting the squares of meson masses to second order in chiral-symmetry breaking, determining corrections to Weinberg's first-order values: $\frac{{m}_{u}}{{m}_{d}}=0.56$, $\frac{{m}_{s}}{{m}_{d}}=20.1$. We find that to this order, $\frac{{m}_{s}}{{m}_{d}}$ is a known function of $\frac{{m}_{u}}{{m}_{d}}$. The values of the quark-mass ratios can be constrained by limiting the size of second-order corrections to the squares of meson masses. We find that for specific values of presently unmeasured phenomenological parameters one can have a massless $u$ quark. In that case 30% of the squares of meson masses arise from operators second order in chiral-symmetry breaking.
Overview
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
Symmetry Breaking through Bell-Jackiw Anomalies
't Hooft, G. (1976) · Physical Review Letters · doi:10.1103/physrevlett.37.8 · Cited by 3,362
Weinberg, S. (1979) · Physica A: Statistical Mechanics and its Applications · doi:10.1016/0378-4371(79)90223-1 · Cited by 3,347
Computation of the quantum effects due to a four-dimensional pseudoparticle
't Hooft, G. (1976) · Physical Review D · doi:10.1103/physrevd.14.3432 · Cited by 2,909
Chiral quarks and the non-relativistic quark model
Manohar, A., & Georgi, H. (1984) · Nuclear Physics B · doi:10.1016/0550-3213(84)90231-1 · Cited by 1,926
Self-citationVacuum Periodicity in a Yang-Mills Quantum Theory
Jackiw, R., & Rebbi, C. (1976) · Physical Review Letters · doi:10.1103/physrevlett.37.172 · Cited by 1,284
The structure of the gauge theory vacuum
Callan, C. G., Dashen, R. F., & Gross, D. J. (1976) · Physics Letters B · doi:10.1016/0370-2693(76)90277-x · Cited by 1,261
Weinberg, S. (1977) · Transactions of the New York Academy of Sciences · doi:10.1111/j.2164-0947.1977.tb02958.x · Cited by 515
Departures from chiral symmetry
Pagels, H. (1975) · Physics Reports · doi:10.1016/0370-1573(75)90039-3 · Cited by 451
Light-quark masses and isospin violation
Gross, D. J., Treiman, S. B., & Wilczek, F. (1979) · Physical Review D · doi:10.1103/physrevd.19.2188 · Cited by 185
Quark-Mass Generation by Pseudoparticles
Caldi, D. G. (1977) · Physical Review Letters · doi:10.1103/physrevlett.39.121 · Cited by 121
Cited by
Axions and the strongCPproblem
Kim, J. E., & Carosi, G. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.557 · Cited by 916
di Cortona, G. G., Hardy, E., Vega, J. P., & Villadoro, G. (2016) · Journal of High Energy Physics · doi:10.1007/jhep01(2016)034 · Cited by 747
New experimental approaches in the search for axion-like particles
Irastorza, I. G., & Redondo, J. (2018) · Progress in Particle and Nuclear Physics · doi:10.1016/j.ppnp.2018.05.003 · Cited by 745
The landscape of QCD axion models
Di Luzio, L., Giannotti, M., Nardi, E., & Visinelli, L. (2020) · Physics Reports · doi:10.1016/j.physrep.2020.06.002 · Cited by 657
Turner, M. S. (1990) · Physics Reports · doi:10.1016/0370-1573(90)90172-x · Cited by 489
Metadata
- Authors
- Kaplan, D. B., & Manohar, A. V.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1986-05-12
- Volume
- 56
- Issue
- 19
- Pages
- 2004-2007
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W1991506785
- Cited by
- 290
- References
- 10
- FWCI
- 6.87
- Type
- journal article
- Language
- en
- Open access
- closed
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: Current-Mass Ratios of the Light Quarks. https://app.cochat.ai/papers/10.1103/physrevlett.56.2004
- The paper
- Kaplan, D. B., & Manohar, A. V. (1986). Current-Mass Ratios of the Light Quarks. Physical Review Letters. https://doi.org/10.1103/physrevlett.56.2004
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.
