The DOI matches its Crossref record.
Spectrum of Dirac operator and role of winding number in QCD
Abstract
We show that very general considerations based on the properties of the partition function of QCD allow one to extract information about the eigenvalues of the Dirac operator in vacuum gauge fields. In particular, we demonstrate that the familiar suppression of field configurations with a nontrivial topology occurring for small quark masses is a finite size effect which disappears if the four-dimensional volume $V$ is large enough. The formation of a quark condensate is connected with the occurrence of small eigenvalues of order ${\ensuremath{\lambda}}_{n}\ensuremath{\propto}\frac{1}{V}$.
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
Cited by
Modern theory of nuclear forces
Epelbaum, E., Hammer, H.-W., & Meißner, U.-G. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.1773 · Cited by 1,883
Spectrum of the QCD Dirac operator and chiral random matrix theory
Verbaarschot, J. (1994) · Physical Review Letters · doi:10.1103/physrevlett.72.2531 · Cited by 459
Recent developments in chiral perturbation theory
Meissner, U. G. (1993) · Reports on Progress in Physics · doi:10.1088/0034-4885/56/8/001 · Cited by 285
θ -dependence of light nuclei and nucleosynthesis
Lee, D., Meißner, U.-G., Olive, K. A., Shifman, M., & Vonk, T. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.033392 · Cited by 29
Metadata
- Authors
- Leutwyler, H., & Smilga, A.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1992-12-15
- Volume
- 46
- Issue
- 12
- Pages
- 5607-5632
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2028043408
- Cited by
- 696
- References
- 0
- FWCI
- 7.04
- 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: Spectrum of Dirac operator and role of winding number in QCD. https://app.cochat.ai/papers/10.1103/physrevd.46.5607
- The paper
- Leutwyler, H., & Smilga, A. (1992). Spectrum of Dirac operator and role of winding number in QCD. Physical Review D. https://doi.org/10.1103/physrevd.46.5607
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.
