scholarly journals Light quark dependence of the Isgur-Wise function from QCD sum rules

1994 ◽  
Vol 50 (9) ◽  
pp. 5775-5780 ◽  
Author(s):  
Tao Huang ◽  
Chuan-Wang Luo
Keyword(s):  
Sum Rules ◽  
Light Quark ◽  
Qcd Sum Rules

scholarly journals Finite Temperature QCD Sum Rules: A Review

2017 ◽  
Vol 2017 ◽  
pp. 1-24 ◽  
Author(s):  
Alejandro Ayala ◽  
C. A. Dominguez ◽  
M. Loewe
Keyword(s):  
Finite Temperature ◽  
Chemical Potential ◽  
Sum Rules ◽  
Light Quark ◽  
Axial Vector ◽  
Heavy Ion ◽  
Qcd Sum Rules ◽  
Rho Meson ◽  
Ion Collisions ◽  
Rule Method

The method of QCD sum rules at finite temperature is reviewed, with emphasis on recent results. These include predictions for the survival of charmonium and bottonium states, at and beyond the critical temperature for deconfinement, as later confirmed by lattice QCD simulations. Also included are determinations in the light-quark vector and axial-vector channels, allowing analysing the Weinberg sum rules and predicting the dimuon spectrum in heavy-ion collisions in the region of the rho-meson. Also, in this sector, the determination of the temperature behaviour of the up-down quark mass, together with the pion decay constant, will be described. Finally, an extension of the QCD sum rule method to incorporate finite baryon chemical potential is reviewed.

scholarly journals DETERMINATION OF LIGHT QUARK MASSES IN QCD

2010 ◽  
Vol 25 (29) ◽  
pp. 5223-5234 ◽  
Author(s):  
C. A. DOMINGUEZ
Keyword(s):  
Strange Quark ◽  
Sum Rules ◽  
Standard Procedure ◽  
Light Quark ◽  
Qcd Sum Rules ◽  
Quark Masses ◽  
Systematic Uncertainties ◽  
Better Than ◽  
The Ideal

The standard procedure to determine (analytically) the values of the quark masses is to relate QCD two-point functions to experimental data in the framework of QCD sum rules. In the case of the light quark sector, the ideal Green function is the pseudoscalar correlator which involves the quark masses as an overall multiplicative factor. For the past thirty years this method has been affected by systematic uncertainties originating in the hadronic resonance sector, thus limiting the accuracy of the results. Recently, a major breakthrough has been made allowing for a considerable reduction of these systematic uncertainties and leading to light quark masses accurate to better than 8%. This procedure will be described in this talk for the up-, down-, strange-quark masses, after a general introduction to the method of QCD sum rules.

LIGHT QUARK MASS RATIOS (mu:md:ms) FROM MESON AND BARYON MASS SPLITTINGS

2013 ◽  
Vol 28 (25) ◽  
pp. 1360015 ◽  
Author(s):  
PETER MINKOWSKI
Keyword(s):  
Quark Mass ◽  
Sum Rules ◽  
Light Quark ◽  
Nucl Phys ◽  
Qcd Sum Rules ◽  
Baryon Mass ◽  
Mass Ratios ◽  
Light Quark Mass

The basis of the material discussed is our work in collaboration with Arnulfo Zepeda from 1979 [Nucl. Phys. B164, 25 (1980)]. The ingredients and consequences of this work will be presented, and compared with results obtained from QCD sum rules and lattice simulations of QCD in accordance with chiral expansions. An up-to-date conclusion will not be possible in this paper, but some comments towards such goal will be given in a concluding section.

LIGHT QUARK MASSES FROM QCD SUM RULES

2013 ◽  
Vol 28 (26) ◽  
pp. 1360016 ◽  
Author(s):  
KARL SCHILCHER
Keyword(s):  
Quark Mass ◽  
Strange Quark ◽  
Sum Rules ◽  
Light Quark ◽  
Finite Energy ◽  
Qcd Sum Rules ◽  
Sum Rule ◽  
Quark Masses ◽  
Strange Quark Mass

Recent QCD sum rule determinations of the light quark masses are reviewed. In the case of the strange quark mass, possible uncertainties are discussed in the framework of finite energy sum rules.

Light quark condensates from QCD sum rules

1985 ◽  
Vol 27 (3) ◽  
pp. 481-489 ◽  
Author(s):  
C. A. Dominguez ◽  
M. Kremer ◽  
N. A. Papadopoulos ◽  
K. Schilcher
Keyword(s):  
Sum Rules ◽  
Light Quark ◽  
Qcd Sum Rules

scholarly journals METHODS OF CALCULATION OF HIGHER POWER CORRECTIONS IN QCD

1995 ◽  
Vol 10 (24) ◽  
pp. 3497-3529 ◽  
Author(s):  
A.G. GROZIN
Keyword(s):  
Sum Rules ◽  
Light Quark ◽  
Algebraic Complexity ◽  
Qcd Sum Rules ◽  
Systematic Classification ◽  
Power Corrections ◽  
Methods Of Calculation ◽  
Gluon Condensates ◽  
Higher Power ◽  
Non Local

Although the methods of calculation of power corrections in QCD sum rules are well known, algebraic complexity rapidly grows with the increase of vacuum condensates’ dimensions. Currently, state-of-the-art calculations include dimension 7 and 8 condensates. I summarize and extend algorithms of such calculations. First, I present all the formulae necessary for application of the systematic classification of bilinear quark condensates proposed earlier, and extend this method to the case of gluon condensates. Then I apply these systematic procedures to expansions of bilinear and noncollinear quark and gluon condensates in local ones, and of noncollinear condensates in bilocal ones. The formulae obtained can be used for calculation of correlators involving non-local condensates, and for inventing consistent ansätze for these condensates. Finally, I summarize the methods of calculation of heavy and light quark currents’ correlators. This paper aims both to present new results on gluon and nonlocal condensates and to be a self-contained handbook of formulae necessary for calculation of power corrections in QCD sum rules.

TWIST-THREE DISTRIBUTION AMPLITUDES AND OCTET CURRENT DECAY CONSTANTS OF η AND η': A QCD SUM RULE APPROACH

2009 ◽  
Vol 18 (05n06) ◽  
pp. 1318-1323
Author(s):  
J. P. SINGH
Keyword(s):  
Sum Rules ◽  
Light Quark ◽  
Axial Vector ◽  
Vector Current ◽  
Axial Vector Current ◽  
Qcd Sum Rules ◽  
Sum Rule ◽  
Decay Constants ◽  
Current Decay ◽  
Rule Approach

We investigate twist-three distribution amplitudes (DAs) of η and η' using QCD sum rules. Zeroth moments of light quark DAs of η and η' are evaluated and compared with those found in other approaches. The decay constants of the octet axial vector current in the η and η' system are also estimated.

scholarly journals Constraint on the light quark mass mq from QCD sum rules in the I=0 scalar channel

2017 ◽  
Vol 96 (1) ◽  
Author(s):  
Jia-Min Yuan ◽  
Zhu-Feng Zhang ◽  
T. G. Steele ◽  
Hong-Ying Jin ◽  
Zhuo-Ran Huang
Keyword(s):  
Quark Mass ◽  
Sum Rules ◽  
Light Quark ◽  
Qcd Sum Rules ◽  
Light Quark Mass

scholarly journals Determination of the up/down-quark mass within QCD sum rules in the scalar channel

2021 ◽  
Vol 81 (9) ◽  
Author(s):  
Fang-Hui Yin ◽  
Wen-Ya Tian ◽  
Liang Tang ◽  
Zhi-Hui Guo
Keyword(s):  
Monte Carlo ◽  
Quark Mass ◽  
Sum Rules ◽  
Light Quark ◽  
Spectral Functions ◽  
Qcd Sum Rules ◽  
Down Quark ◽  
Light Quark Mass ◽  
Data Group

AbstractIn this work, we determine up/down-quark mass $$m_{q=u/d}$$ m q = u / d in the isoscalar scalar channel from both the Shifman–Vainshtein–Zakharov (SVZ) and the Monte-Carlo-based QCD sum rules. The relevant spectral function, including the contributions from the $$f_0(500)$$ f 0 ( 500 ) , $$f_0(980)$$ f 0 ( 980 ) and $$f_0(1370)$$ f 0 ( 1370 ) resonances, is determined from a sophisticated U(3) chiral study. Via the traditional SVZ QCD sum rules, we give the prediction to the average light-quark mass $$m_q(2 ~\text {GeV})=\frac{1}{2}(m_u(2 ~\text {GeV}) + m_d(2 ~\text {GeV}))=(3.46^{+0.16}_{-0.22} \pm 0.33) ~\text {MeV}$$ m q ( 2 GeV ) = 1 2 ( m u ( 2 GeV ) + m d ( 2 GeV ) ) = ( 3 . 46 - 0.22 + 0.16 ± 0.33 ) MeV . Meanwhile, by considering the uncertainties of the input QCD parameters and the spectral functions of the isoscalar scalar channel, we obtain $$m_q (2~\text {GeV}) = (3.44 \pm 0.14 \pm 0.32) ~\text {MeV}$$ m q ( 2 GeV ) = ( 3.44 ± 0.14 ± 0.32 ) MeV from the Monte-Carlo-based QCD sum rules. Both results are perfectly consistent with each other, and nicely agree with the Particle Data Group value within the uncertainties.

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