Lattice calculation of point-to-point Hadron current correlation functions in the QCD vacuum

Chu, M. C.; Grandy, J.; Huang, Sen; Negele, John W.

doi:10.1103/physrevlett.70.255

Cited by 69 publications

(104 citation statements)

References 9 publications

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“…Indeed, a detailed numerical study of dozens of correlation functions with different quantum numbers in the instanton medium undertaken by Shuryak, Verbaarschot and Schäfer [19] (earlier certain correlation functions were computed analytically in refs. [11,12]) demonstrated an impressing agreement with the phenomenology [20] and with direct lattice measurements [21], see ref. [22] for a review.…”

Section: 3)mentioning

confidence: 59%

“…The use of the variational principle yields a Gaussian cutoff for large sizes [7,27]: Figure 3: "Cooling" the normal zero-point oscillations reveals large fluctuations of the gluon field, which were identified with instantons and anti-instantons with random positions and sizes [21]. The left column shows the action density and the right column shows the topological charge density for the same snapshot.…”

Section: Instanton Ensemblementioning

confidence: 99%

“…3 borrowed from ref. [21]. Naturally, it is heavily dominated by normal perturbative UV-divergent zero-point oscillations of the field.…”

Section: Instanton Ensemblementioning

confidence: 99%

“…In the recent years instantons have been intensively studied by direct numerical simulations of gluon fields on the lattice, using various configuration-smoothing methods [21,36,37]. A typical snapshot of gluon fluctuations in the vacuum is shown in Fig.…”

Section: Instanton Ensemblementioning

confidence: 99%

“…However, after "cooling" down these oscillations one reveals a smooth background field which was shown in ref. [21] to be nothing but an ensemble of instantons and antiinstantons with random positions and sizes 3 . The lower part of Fig.…”

Section: Instanton Ensemblementioning

confidence: 99%

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Instantons at work

Diakonov

2003

Progress in Particle and Nuclear Physics

350

506

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The aim of this review is to demonstrate that there exists a coherent picture of strong interactions, based on instantons. Starting from the first principles of Quantum Chromodynamics -via the microscopic mechanism of spontaneous chiral symmetry breakingone arrives to a quantitative description of the properties of light hadrons, with no fitting parameters. The discussion of the importance of instanton-induced interactions in soft high-energy scattering is new.

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Section: 3)mentioning

confidence: 59%

Section: Instanton Ensemblementioning

confidence: 99%

“…3 borrowed from ref. [21]. Naturally, it is heavily dominated by normal perturbative UV-divergent zero-point oscillations of the field.…”

Section: Instanton Ensemblementioning

confidence: 99%

Section: Instanton Ensemblementioning

confidence: 99%

Section: Instanton Ensemblementioning

confidence: 99%

See 3 more Smart Citations

Instantons at work

Diakonov

2003

Progress in Particle and Nuclear Physics

350

506

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QCD Sum Rules for Skeptics

1997

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A new Monte-Carlo based uncertainty analysis is introduced to quantitatively determine the predictive ability of QCD sum rules. A comprehensive analysis of ground state rho-meson and nucleon spectral properties is performed. Many of the findings contradict the conventional wisdom of both practitioners and skeptics alike. Associations between the phenomenological fit parameters are particularly interesting as they reveal how the sum rules resolve the spectral properties. The use of derivative sum rules for the determination of rho-meson spectral properties is shown to be a very unfavorable approach. Most prior nucleon sum rule analyses are based on a sum rule which is found to be invalid; the results are suspect, and should be reevaluated. The ``Ioffe formula'', argued by many to qualitatively encapsulate a description of the nucleon mass in terms of the chiral symmetry breaking order parameter is misleading at best. QCD Sum Rules are found to be self-consistent without contributions from direct instantons. This implies that instanton effects are adequately accounted for in the nonperturbative vacuum condensates. This in-depth examination of QCD sum rule self consistency paints a favorable picture for further quantitative refinements of the QCD sum rule approach.Comment: 70 page RevTeX Manuscript with 40 embedded figures. Revised manuscript accepted for publication. Recent estimates of QCD vacuum condensates are used in the analysis. This and related papers may also be obtained from http://www.phys.washington.edu/~derek/Publications.htm

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Instantons in QCD and Related Theories

Shuryak

NATO Science Series: B:

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Lattice calculation of point-to-point Hadron current correlation functions in the QCD vacuum

Cited by 69 publications

References 9 publications

Instantons at work

Instantons at work

QCD Sum Rules for Skeptics

Instantons in QCD and Related Theories

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