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REVIEW 3 major objections 5 minor 49 references

My friends and my path in physics

T0 review · 3 major / 5 minor · reviewed 2026-08-10 · deepseek-v4-flash

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Pith's one-line read A personal physics memoir argues that the 1980s instanton vacuum theory nearly explained hadrons as excitations of the QCD vacuum.

desk verdict A sincere memoir of the instanton-vacuum community, not a research paper; fine for a memorial volume, no technical peer review needed. read the letter →

arxiv 2501.14842 v2 pith:XCYHV5QS submitted 2025-01-24 hep-ph physics.hist-ph

Mirzayusuf Musakhanov This is my paper · ORCID
classification hep-phphysics.hist-ph
keywords QCDinstantonvacuumliquidmodelhadronstructureaxialanomalylow-energytheoremsquarkcondensateheavy-lightsystemsscientificmemoir
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

This is a personal memoir, not a research article. The author's central recollection is that the instanton-based theory of the QCD vacuum developed in the 1980s was 'a real bomb' and brought its originators 'very close to the solution of the problem about quark-gluon structure of hadrons,' because hadrons are 'just excitations of the QCD vacuum.' He reports that his own tests of the axial anomaly low-energy theorems in that theory provided 'a convincing proof of the correctness' of the idea, and that later applications to heavy-light quark systems show that instanton-induced interactions are crucial. A sympathetic reader takes away a historical claim: for a moment in the mid-1980s, a single physical picture of the vacuum appeared to contain the explanation of hadron structure, with the anomaly theorems as the decisive check.

What carries the argument

The central object is the instanton vacuum of QCD: the picture in which the ground state is not empty but a liquid of topologically nontrivial gluon-field fluctuations (instantons) with a typical size and spacing, whose fermion zero modes generate chiral symmetry breaking, a dynamical constituent quark mass, and effective quark–quark interactions. The load-bearing mechanism is the conversion of the underlying QCD anomaly into low-energy theorems that can be checked; the memoir points to axial anomaly low-energy theorems as the test that confirmed the instanton vacuum, and to the instanton-generated interaction as the mechanism that makes heavy-light quark systems qualitatively different from heavy-heavy ones.

What would settle it

A concrete falsifier would be a lattice QCD calculation that determines the vacuum's topological susceptibility and instanton density and then shows the instanton-liquid model, with those parameters fixed, cannot reproduce the measured heavy-light meson spectrum or the axial anomaly low-energy theorems.

Watch

Extended reading notes

Core claim

On the paper's own terms, the discovery is not new physics but a stated near-solution: the QCD vacuum should be modeled as an ensemble of instantons, and all hadrons, as excitations of that vacuum, should follow from it. The author calls the founding papers 'a real bomb' and says their authors were 'very close to the solution of the problem about quark-gluon structure of hadrons.' The paper's supporting evidence is reported, not derived: the axial anomaly low-energy theorems hold in the instanton vacuum, which the author takes as 'a convincing proof of the correctness' of the theory, and later studies of heavy and heavy-light quark systems show that instanton-induced interactions play a crucial role.

Load-bearing premise

The load-bearing premise is that the QCD vacuum is genuinely an instanton liquid and that the author's recollections about the course and significance of the work are accurate.

Editorial extensions

If this is right

  • If hadrons are excitations of the instanton vacuum, hadron masses, pion–hadron interactions, and nucleon properties should be calculable from vacuum parameters without extra parameters.
  • The axial anomaly low-energy theorems act as a filter: any candidate vacuum description must reproduce them, and the memoir reports that the instanton vacuum does.
  • Heavy-light quark systems should exhibit strong instanton-induced effects; recent results reported in the paper indicate these effects are 'crucial' for their physics.
  • Chiral perturbation theory low-energy constants, isospin-breaking constants, and the magnetic susceptibility of the vacuum are listed as quantities that the instanton vacuum can be used to compute.
  • The memoir's historical claim implies that the decisive content of a hadron-structure theory was already present in the mid-1980s papers, with later work refining and testing it.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • If the recollection of being 'very close' is accurate, then a dedicated reconstruction of the mid-1980s instanton-vacuum program might reveal which missing step prevented the full theory of hadron structure, and whether modern lattice QCD supplies that step.
  • Modern lattice QCD determinations of the topological susceptibility, instanton density, and the spectrum of heavy-light mesons could quantitatively test whether the instanton liquid picture is the real vacuum or just a good effective model.
  • The paper does not discuss whether later exact solutions or alternative vacuum models supersede the instanton picture; a reader should treat the 'near-solution' claim as a personal assessment pending such comparison.
  • A testable extension would be to derive the heavy-light spectrum from the instanton liquid with one fixed set of vacuum parameters and compare to experiment, since the paper only states that instanton-induced interactions are crucial.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

3 major / 5 minor

Summary. This short paper is a personal memoir by Mirzayusuf Musakhanov dedicated to Dmitry Diakonov, Viktor Petrov, and Maxim Polyakov. It recounts the author's scientific interactions with them from roughly 1980 to the present, organized into three periods: the 1980-88 development of QCD instanton vacuum ideas, the 1990-2000 tests of axial anomaly low-energy theorems and collaborations in Bochum, and the post-2000 application of the instanton vacuum to heavy-light quark systems. The text consists entirely of personal recollections, tributes, and lists of references, mostly to the author's own papers and those of Diakonov and Petrov. No derivations, data, or historical documentation are provided.

Significance. As a memorial contribution, the paper has human and historical interest: it records the author's firsthand recollections of meetings, seminars, and collaborations with three physicists, and it assembles a useful bibliography of related works. The paper also illustrates the scientific influence of the Diakonov-Petrov instanton vacuum framework within one research community. However, its scientific significance for a hep-ph journal is limited because it makes no testable claims, presents no quantitative evidence, and cannot be evaluated by the usual standards of soundness. The strongest assertions about the near-completeness of the instanton vacuum approach and about the proof of its correctness are stated without substantiation. These assertions are the part of the manuscript that most needs revision before publication.

major comments (3)
  1. [Section 2] The claim that Diakonov and Petrov were 'very close to the solution of the problem about quark-gluon structure of hadrons' is presented as a matter of fact, but the manuscript provides no supporting evidence or criteria for what would constitute such a solution. If this is an evaluation, it should be supported by specific results from refs. [15-22] or clearly labeled as a personal belief; as written, it is an unsubstantiated historical assertion.
  2. [Section 3] The phrase 'convincing proof of the correctness of Mitya's and Vitya's ideas about the QCD vacuum' overstates what the cited axial anomaly tests [23-25] can establish. Successful checks of low-energy axial anomaly theorems demonstrate consistency of the instanton vacuum model with certain QCD low-energy constraints; they do not prove uniqueness of the instanton vacuum or completeness of the framework as a theory of hadron structure. The wording should be weakened to 'tests consistent with' or should explicitly state the logical limits of such checks.
  3. [Section 4] The assertion that 'the role of interactions induced by instantons is crucial in the physics of systems consisting of heavy and light quarks' [49] is not supported within this manuscript. The author should either summarize the specific quantitative finding from ref. [49] that warrants this conclusion or frame the statement as a research perspective rather than an established result.
minor comments (5)
  1. [Title page] The affiliation line contains a typo: 'Uzbekist an' should read 'Uzbekistan'.
  2. [Section 2] The reference range '[15-18, 18-22]' lists [18] twice; if a continuous range is intended, '[15-22]' would be clearer.
  3. [Section 4] The section title 'the time of 2000-present time' is awkward and should be capitalized and rephrased, for example as 'The time from 2000 to the present'.
  4. [Section 4] The collaborator's name is written 'Huyn-Chul' once and 'Hyun-Chul' elsewhere; the spelling should be made uniform.
  5. [Section 5] The sentence 'It is a sad to recognize that they left us so early' contains a grammatical error; it should be 'It is sad to recognize' or 'It is sad that they left us so early'.

Circularity Check

0 steps flagged · score 0.0 of 10

No circularity: memoir has no derivation chain; axial-anomaly checks are external benchmarks.

full rationale

This is a personal memoir with no equations, no fitted parameters, and no predictive derivation. The closest thing to a scientific claim—that Diakonov and Petrov's instanton-vacuum papers were 'a real bomb' and that the authors were 'very close to the solution of the problem about quark-gluon structure of hadrons'—is a historical judgment, not a result derived in this paper. The axial-anomaly tests cited in Section 3 ('checking the fulfillment of the axial anomaly theorems in their theory [23–25]') are checks of the instanton-vacuum model against independent low-energy theorems of QCD; those theorems are external constraints, not outputs of the model being tested. Citing the author's own papers for these checks is self-citation, but it does not reduce a claimed derivation to its inputs, because no derivation is attempted here and the checks are externally falsifiable. The memoir's self-referential historical assessment is a style/genre issue, not a circularity. Therefore no circular step can be identified.

Assumptions & free parameters 0 free parameters · 2 assumptions · 0 invented entities

No new physics is proposed; the paper depends only on background assumptions about the instanton vacuum and on the reliability of the author's memory.

assumptions (2)
  • domain assumption The QCD instanton vacuum theory of Diakonov and Petrov is a valid description of the QCD vacuum, and its applications to hadron physics are reliable.
    The memoir recounts work in this framework without justifying it; e.g., Sections 2 and 3 assume the framework's correctness.
  • domain assumption The author's personal recollections about events, dates, and collaborations are accurate.
    The narrative relies entirely on memory; no external records are presented.

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Cite this review

Pith. "Pith review of My friends and my path in physics." pith.science (2026). https://pith.science/paper/XCYHV5QS

@misc{pith2026250114842,
  author       = {Pith},
  title        = {Pith review of: My friends and my path in physics},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/XCYHV5QS}},
  note         = {Machine review of arXiv:2501.14842}
}
read the original abstract

Dedication to my untimely departed friends, Dmitry Igorevich Diakonov, Viktor Yur'evich Petrov and Maxim Vladimirovich Polyakov.

Discussion (0). Continue with ORCID to comment.

Reference graph

Works this paper leans on

49 extracted references · 49 canonical work pages

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