Weinberg sum rules and scalar mesons

1967 ◽  
Vol 51 (3) ◽  
pp. 846-851 ◽  
Author(s):  
S. P. de Alwis
Keyword(s):  
Sum Rules ◽  
Scalar Mesons

scholarly journals The large-Nc limit of borelized spectral sum rules and the slope of radial Regge trajectories

2018 ◽  
Vol 33 (18n19) ◽  
pp. 1850115 ◽  
Author(s):  
S. S. Afonin ◽  
T. D. Solomko
Keyword(s):  
Ground State ◽  
Sum Rules ◽  
Ground States ◽  
Phenomenological Method ◽  
Scalar Mesons ◽  
Regge Trajectories ◽  
Spectral Sum Rules ◽  
The Given ◽  
Vacuum Condensates

We put forward a new phenomenological method for calculating the slope of radial trajectories from values of ground states and vacuum condensates. The method is based on a large-[Formula: see text] extension of borelized spectral sum rules. The approach is applied to the light nonstrange vector, axial and scalar mesons. The extracted values of slopes proved to be approximately universal and are in the interval [Formula: see text] GeV2. As a by-product, the given method leads to prediction of the second radial trajectory with ground state mass lying near 0.6 GeV.

scholarly journals Mixings of four-quark components in light nonsinglet scalar mesons in QCD sum rules

2007 ◽  
Vol 76 (11) ◽  
Author(s):  
J. Sugiyama ◽  
T. Nakamura ◽  
N. Ishii ◽  
T. Nishikawa ◽  
M. Oka
Keyword(s):  
Sum Rules ◽  
Qcd Sum Rules ◽  
Scalar Mesons

scholarly journals Twist-3 distribution amplitudes of scalar mesons from QCD sum rules

2007 ◽  
Vol 75 (5) ◽  
Author(s):  
Cai-Dian Lü ◽  
Yu-Ming Wang ◽  
Hao Zou
Keyword(s):  
Sum Rules ◽  
Qcd Sum Rules ◽  
Scalar Mesons

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 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 Charmed scalar mesons masses within the QCD sum rules framework

2007 ◽  
Vol 37 (1a) ◽  
pp. 67-70 ◽  
Author(s):  
A. Lozéa ◽  
M. E. Bracco ◽  
R. D. Matheus ◽  
M. Nielsen
Keyword(s):  
Sum Rules ◽  
Qcd Sum Rules ◽  
Scalar Mesons
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