Are all hadrons alike?

Novikov, V.A.; Shifman, M.; Vainshtein, A.I.; Захаров, В. И.

doi:10.1016/0550-3213(81)90303-5

Cited by 634 publications

(634 citation statements)

References 67 publications

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“…We have considered here m s ∼ 200 MeV, but the contribution of this integral is so small that the error due to m s and α s can be neglected. Notice that duality is not supposed to arise in the scalar sector for as low energies as in other channels, due to a probably large contribution from the direct instantons in this sector [35].…”

Section: High-energy Contribution : |S| = Smentioning

confidence: 99%

Zweig rule violation in the scalar sector and values of low-energy constants

Descotes

2001

J. High Energy Phys.

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We discuss the role of the Zweig rule (ZR) violation in the scalar channel for the determination of low-energy constants and condensates arising in the effective chiral Lagrangian of QCD. The analysis of the Goldstone boson masses and decay constants shows that the three-flavor condensate and some low-energy constants are very sensitive to the value of the ZR violating constant L 6 . A similar study is performed in the case of the decay constants. A chiral sum rule based on experimental data in the 0 ++ channel is used to constrain L 6 , indicating a significant decrease between the two-and the three-flavor condensates. The analysis of the scalar form factors of the pion at zero momentum suggests that the pseudoscalar decay constant could also be suppressed from N f = 2 to 3.

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Section: High-energy Contribution : |S| = Smentioning

confidence: 99%

Zweig rule violation in the scalar sector and values of low-energy constants

Descotes

2001

J. High Energy Phys.

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“…The parameter α s G 2 represents the central value in the recent determination [17], g 3 G 3 is obtained from the dilute instanton gas model [18], qgGq is extracted from [19], and the dimension-six condensate parameter α s qq 2 is referenced to the vacuum saturation value which is known to underestimate the actual value by up to a factor of 2 in the (I = 1) vector and axial vector channels [20].…”

Section: Fig 1: Feynman Diagrams For the αS-corrections To The Condementioning

confidence: 99%

Improved determination of the mass of the1−+light hybrid meson from QCD sum rules

2003

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We calculate the next-to-leading order (NLO) αs-corrections to the contributions of the condensates αG 2 and qq 2 in the current-current correlator of the hybrid current gq(x)γνiF a µν T a q(x) using the external field method in Feynman gauge. After incorporating these NLO contributions into the Laplace sum-rules, the mass of the J P C =1 −+ light hybrid meson is recalculated using the QCD sum rule approach. We find that the sum rules exhibit enhanced stability when the NLO αs-corrections are included in the sum rule analysis, resulting in a 1 −+ light hybrid meson mass of approximately 1.6 GeV.

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“…where {a 0 , b 0 , b 1 } are numerical coefficients (see (26)- (28) below), represents the leading condensate contribution to those sum-rules independent of the low-energy theorem [7], and so provide important nonperturbative effects within sum-rule analyses of scalar glueballs. The one-loop coefficients b 0 and b 1 were evaluated in [5] in the absence of quark effects (i.e.…”

Section: Introductionmentioning

confidence: 99%

“…The current J(x) is the lowest-order version of the operator β(α)G 2 (x), which is renormalization-group invariant for chiral quarks [3,4]. As first noted in [5,6], the one-loop gluon condensate contribution to (1)where {a 0 , b 0 , b 1 } are numerical coefficients (see (26)- (28) below), represents the leading condensate contribution to those sum-rules independent of the low-energy theorem [7], and so provide important nonperturbative effects within sum-rule analyses of scalar glueballs. The one-loop coefficients b 0 and b 1 were evaluated in [5] in the absence of quark effects (i.e.…”

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confidence: 99%

Quark Effects in the Gluon Condensate Contribution to the Scalar Glueball Correlation Function

Harnett

Steele

2004

J. High Energy Phys.

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One-loop quark contributions to the dimension-four gluon condensate term in the operator product expansion (OPE) of the scalar glueball correlation function are calculated in the MS scheme in the chiral limit of n f quark flavours. The presence of quark effects is shown not to alter the cancellation of infrared (IR) singularities in the gluon condensate OPE coefficients. The dimension-four gluonic condensate term represents the leading power corrections to the scalar glueball correlator and, therein, the one-loop logarithmic contributions provide the most important condensate contribution to those QCD sum-rules independent of the low-energy theorem (the subtracted sum-rules).The QCD correlation function of scalar gluonic currentsis used to study the properties of scalar gluonium via QCD sum-rule techniques [1,2]. The current J(x) is the lowest-order version of the operator β(α)G 2 (x), which is renormalization-group invariant for chiral quarks [3,4]. As first noted in [5,6], the one-loop gluon condensate contribution to (1)where {a 0 , b 0 , b 1 } are numerical coefficients (see (26)- (28) below), represents the leading condensate contribution to those sum-rules independent of the low-energy theorem [7], and so provide important nonperturbative effects within sum-rule analyses of scalar glueballs. The one-loop coefficients b 0 and b 1 were evaluated in [5] in the absence of quark effects (i.e. the n f = 0 limit). As these n f = 0 gluon condensate effects have been used in a number of sum-rule analyses where the effects of three quark flavours have been included in the perturbative part [2], it is necessary to extend the results of [5] to enable self-consistent sum-rule analyses in the presence of n f chiral quarks. *

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Are all hadrons alike?

Cited by 634 publications

References 67 publications

Zweig rule violation in the scalar sector and values of low-energy constants

Zweig rule violation in the scalar sector and values of low-energy constants

Improved determination of the mass of the1−+light hybrid meson from QCD sum rules

Quark Effects in the Gluon Condensate Contribution to the Scalar Glueball Correlation Function

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