scholarly journals Universal Scale Factors: A Bridge Between Chiral Lagrangians and QCD Sum-Rules

2021 ◽  
Vol 312-317 ◽  
pp. 73-77
Author(s):  
Amir H. Fariborz ◽  
J. Ho ◽  
T.G. Steele
Keyword(s):  
Chiral Lagrangians ◽  
Sum Rules ◽  
Qcd Sum Rules ◽  
Scale Factors ◽  
Universal Scale

scholarly journals Universal scale factors relating mesonic fields and quark operators

2020 ◽  
Vol 35 (21) ◽  
pp. 2050173
Author(s):  
Amir H. Fariborz ◽  
J. Ho ◽  
T. G. Steele
Keyword(s):  
Chiral Symmetry ◽  
Chiral Lagrangians ◽  
Sum Rules ◽  
Scale Factor ◽  
Low Energy ◽  
Qcd Sum Rules ◽  
Scalar Mesons ◽  
Scale Factors ◽  
Quark Level ◽  
Universal Scale

Scale factor matrices relating mesonic fields in chiral Lagrangians and quark-level operators of QCD sum-rules are shown to be constrained by chiral symmetry, resulting in universal scale factors for each chiral nonet. Built upon this interplay between chiral Lagrangians and QCD sum-rules, the scale factors relating the [Formula: see text] isotriplet scalar mesons to their underlying composite quark fields were recently determined. It is shown that the same technique when applied to [Formula: see text] isodoublet scalars reproduces the same scale factors, confirming the universality property and further validating this connection between chiral Lagrangians and QCD sum-rules, which can have nontrivial impacts on our understanding of the low-energy QCD, in general, and the physics of scalar mesons in particular.

scholarly journals Connections between chiral Lagrangians and QCD sum-rules

2016 ◽  
Vol 31 (03) ◽  
pp. 1650023 ◽  
Author(s):  
Amir H. Fariborz ◽  
A. Pokraka ◽  
T. G. Steele
Keyword(s):  
Chiral Lagrangians ◽  
Sum Rules ◽  
Chiral Symmetry Breaking ◽  
Vacuum Expectation ◽  
Qcd Sum Rules ◽  
Mixing Angle ◽  
Scalar Mesons ◽  
Scale Factors ◽  
Quark Level ◽  
Light Scalar

In this paper, it is shown how a chiral Lagrangian framework can be used to derive relationships connecting quark-level QCD correlation functions to mesonic-level two-point functions. Crucial ingredients of this connection are scale factor matrices relating each distinct quark-level substructure (e.g. quark–antiquark, four-quark) to its mesonic counterpart. The scale factors and mixing angles are combined into a projection matrix to obtain the physical (hadronic) projection of the QCD correlation function matrix. Such relationships provide a powerful bridge between chiral Lagrangians and QCD sum-rules that are particularly effective in studies of the substructure of light scalar mesons with multiple complicated resonance shapes and substantial underlying mixings. The validity of these connections is demonstrated for the example of the isotriplet [Formula: see text] system, resulting in an unambiguous determination of the scale factors from the combined inputs of QCD sum-rules and chiral Lagrangians. These scale factors lead to a remarkable agreement between the quark condensates in QCD and the mesonic vacuum expectation values that induce spontaneous chiral symmetry breaking in chiral Lagrangians. This concrete example shows a clear sensitivity to the underlying [Formula: see text]-system mixing angle, illustrating the value of this methodology in extensions to more complicated mesonic systems.

scholarly journals The Bridge Between Chiral Lagrangians and QCD Sum-Rules

2020 ◽  
Vol 309-311 ◽  
pp. 119-123
Author(s):  
Amir H. Fariborz ◽  
J. Ho ◽  
A. Pokraka ◽  
T.G. Steele
Keyword(s):  
Chiral Lagrangians ◽  
Sum Rules ◽  
Qcd Sum Rules

scholarly journals QCD sum rules for parameters of the B -meson distribution amplitudes

2021 ◽  
Vol 104 (1) ◽  
Author(s):  
Muslem Rahimi ◽  
Marcel Wald
Keyword(s):  
B Meson ◽  
Sum Rules ◽  
Qcd Sum Rules

scholarly journals The field strength correlator from QCD sum rules

2000 ◽  
Vol 86 (1-3) ◽  
pp. 421-425 ◽  
Author(s):  
M. Eidemüller ◽  
H.G. Dosch ◽  
M. Jamin
Keyword(s):  
Field Strength ◽  
Sum Rules ◽  
Qcd Sum Rules

scholarly journals The Radiative Δ(1600) → γN Decay in the Light-Cone QCD Sum Rules

Universe ◽  
2021 ◽  
Vol 7 (8) ◽  
pp. 255
Author(s):  
Haifa I. Alrebdi ◽  
Thabit Barakat
Keyword(s):  
Decay Rate ◽  
Light Cone ◽  
Magnetic Dipole Moment ◽  
Sum Rules ◽  
Electric Quadrupole ◽  
The Other ◽  
Electric Quadrupole Moment ◽  
Multipole Moments ◽  
Qcd Sum Rules ◽  
Strongly Agree

Within the framework of the light-cone QCD sum rules method (LCSR’s), the radiative Δ(1600)→γN decay is studied. In particular, the magnetic dipole moment GM1(0) and the electric quadrupole moment GE1(0) are estimated. We also calculate the ratio REM=−GE1(0)GM1(0) and the decay rate. The predicted multipole moments and the decay rate strongly agree with the existing experimental results as well as with the other available phenomenological approaches.

pentaquarks in QCD sum rules

2010 ◽  
Vol 835 (1-4) ◽  
pp. 342-345
Author(s):  
Philipp Gubler ◽  
Daisuke Jido ◽  
Toru Kojo ◽  
Tetsuo Nishikawa ◽  
Makoto Oka
Keyword(s):  
Sum Rules ◽  
Qcd Sum Rules

String tension and plaquette-plaquette correlation from QCD sum rules

1986 ◽  
Vol 176 (3-4) ◽  
pp. 449-455 ◽  
Author(s):  
E. Bagán ◽  
J.I. Latorre
Keyword(s):  
Sum Rules ◽  
String Tension ◽  
Qcd Sum Rules
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