Matching Regge Theory to the OPE

(2) University of Barcelona); A.A. Andrianov (1); D.Espriu (2) ((1) St.Petersburg State University; S.S. Afonin (1); V.A. Andrianov (1)

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Matching Regge Theory to the OPE

S.S. Afonin (1), A.A. Andrianov (1), V.A. Andrianov (1), D.Espriu (2) ((1) St.Petersburg State University, (2) University of Barcelona)

High Energy Physics - Phenomenology · Submitted 25 Mar 2004

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We find that the allowed modifications to the linear Regge behavior must decrease rapidly with the principal quantum number.

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arXiv IDhep-ph/0403268 (version 3)

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Citation(2) University of Barcelona), A.A. Andrianov (1), D.Espriu (2) ((1) St.Petersburg State University, S.S. Afonin (1), V.A. Andrianov (1). "Matching Regge Theory to the OPE." arXiv:hep-ph/0403268 (2004). https://pith.science/paper/ND2HW7O2

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.29 · human participants 0.01 · controlled comparison 0.07 · randomized assignment 0.01 · states quantitative result 0.27 · compares with prior results 0.59 · mentions code or data availability 0.02.

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The spectra of masses and decay constants for non-strange meson resonances in the energy range 0--2.5 GeV is analyzed. It is known from meson phenomenology that for given quantum numbers these spectra approximately follow linear trajectories with a universal slope. These facts can be understood in terms of an effective string description for QCD. For light meson states the trajectories deviate noticeably from the linear behavior. We investigate the possible corrections to the linear trajectories by matching two-point correlators of quark currents to the Operator Product Expansion (OPE). We find that the allowed modifications to the linear Regge behavior must decrease rapidly with the principal quantum number. After fitting the lightest states in each channel and certain low-energy constants the whole spectrum for meson masses and residues is obtained in a satisfactory agreement with phenomenology. We briefly speculate on possible implications for the QCD effective string.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	The spectra of masses and decay constants for non-strange meson resonances in the energy range 0--2.5 GeV is analyzed.	contribution 0.93	0.80	0.02	asserted 0.96
s1	It is known from meson phenomenology that for given quantum numbers these spectra approximately follow linear trajectories with a universal slope.	background 1.00	0.04	0.03	asserted 0.94
s2	These facts can be understood in terms of an effective string description for QCD.	background 0.66	0.05	0.04	hedged possibility 0.66
s3	For light meson states the trajectories deviate noticeably from the linear behavior.	background 0.83	0.16	0.03	asserted 1.00
s4	We investigate the possible corrections to the linear trajectories by matching two-point correlators of quark currents to the Operator Product Expansion (OPE).	method 0.85	0.85	0.04	asserted 0.64
s5	We find that the allowed modifications to the linear Regge behavior must decrease rapidly with the principal quantum number.	result 1.00	0.96	0.64	asserted 1.00
s6	After fitting the lightest states in each channel and certain low-energy constants the whole spectrum for meson masses and residues is obtained in a satisfactory agreement with phenomenology.	result 0.99	0.94	0.49	asserted 0.98
s7	We briefly speculate on possible implications for the QCD effective string.	interpretation 0.75	0.39	0.03	speculative 0.99

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from analysis of existing data 0.52.

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arXiv listing abstract v3

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full text
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references and citing sentences
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The paper

Original abstract

The spectra of masses and decay constants for non-strange meson resonances in the energy range 0--2.5 GeV is analyzed. It is known from meson phenomenology that for given quantum numbers these spectra approximately follow linear trajectories with a universal slope. These facts can be understood in terms of an effective string description for QCD. For light meson states the trajectories deviate noticeably from the linear behavior. We investigate the possible corrections to the linear trajectories by matching two-point correlators of quark currents to the Operator Product Expansion (OPE). We find that the allowed modifications to the linear Regge behavior must decrease rapidly with the principal quantum number. After fitting the lightest states in each channel and certain low-energy constants the whole spectrum for meson masses and residues is obtained in a satisfactory agreement with phenomenology. We briefly speculate on possible implications for the QCD effective string.

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References

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Cited by 10 Pith papers

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The operator product expansion does not imply parity doubling of hadrons
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The operator product expansion does not imply parity doubling of hadrons; explicit counterexamples show the claimed derivation is invalid.
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Heavy Quarkonium Spectrum and Decay Constants from a Neural-Network-Based Holographic Model
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Systematics of radial and angular-momentum Regge trajectories of light non-strange q\bar{q}-states
hep-ph 2012-03 conditional novelty 5.0 of 10

Weighted linear fits to PDG light-meson masses give a radial Regge slope of 1.35 GeV^2 and an angular slope of 1.16 GeV^2, differing at 4.5 sigma, so the proposed universal M^2 = a(n+J)+b pattern does not hold.
Relation between quark and gluon condensates from QCD sum rules
hep-ph 2006-03 conditional novelty 5.0 of 10

Using QCD sum rules in the large-Nc limit, the author derives Eq. (24) linking the pion decay constant, rho mass, quark condensate, and gluon condensate, with a standard numerical check.

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Experimental indication on chiral symmetry restoration in meson spectrum
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Analysis of meson spectrum data suggests that the masses squared of chiral partners become degenerate at high excitation energies, indicating chiral symmetry restoration around 2.5 GeV and revealing multispin-parity clusters.
Meson dominance of hadron form factors and large-Nc phenomenology
hep-ph 2012-10 conditional novelty 4.0 of 10

Meson-dominance form factors for pions and nucleons, with resonance half-widths taken as the theoretical error, fall within experimental and lattice bands across the channels examined.
Qualitative solution of QCD sum rules
hep-ph 2006-02 conditional novelty 4.0 of 10

Matching the OPE to Regge spectra in large-Nc QCD forces chiral symmetry breaking and yields a = 48/Nc π^2 fπ^2, so the whole meson spectrum is claimed to follow from fπ.
Holographic Approaches to Hadron Structure
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A review of holographic QCD that compiles top-down and bottom-up model predictions for hadron spectra, interactions, form factors, and gluonic states, with no new primary result.
A review of the open charm and open bottom systems
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The paper reviews the observed open-charm and open-bottom hadrons and the quark-model, effective-theory, and QCD-sum-rule interpretations of their masses and decays.

How the literature uses it

8 arXiv papers cite this in 14 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers whose main result relates to this one's

Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

States the same result 1 paper

We find that the allowed modifications to the linear behavior must decrease rapidly with the principal quantum number.

Matching meson resonances to OPE in QCD · 1.00

Papers citing it · 9 sentences without a confident label

Uses its method or tool 1 paper

When the sum is approximated using the Euler-Maclaurin summation formula [ref] , the decay constants, as residues of $Π(q^2)$, can be written as

Heavy Quarkonium Spectrum and Decay Constants from a Neural-Network-Based Holographic Model · Holographic Model · 0.91

Compares with it 1 paper

The leptonic decay of $ρ'$ is not as widely discussed, but we can predict, with the model's $F_ρ'=√(2) F_ρ$, the following decay rate: $Γ_ρ'→e^+e^-=2 ÷3$ KeV in coincidence, for instance, with [ref] .

Effects of bulk symmetry breaking on AdS/QCD predictions · Fitting the observables · 0.82

Cites it as support 1 paper

Various studies have shown that the Regge trajectories can be nonlinear [ref] .

A review of the open charm and open bottom systems · Regge trajectories · 0.96

Cites it as background 2 papers

Since the pioneering work of Ref. [ref] , the operator product expansion (OPE) has been intensively used in order to improve our understanding of the non-perturbative dynamics of the hadronic spectrum and decays for large excitations [ref] .

1/N_c and 1/n preasymptotic corrections to Current-Current correlators · Introduction · 0.98
The operator product expansion (OPE) has been used since long in order to gain information on the non-perturbative dynamics of the hadronic spectrum and decays [ref] .

Constraints on Regge models from perturbation theory · Introduction · 1.00

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