Scalar mesons within QCD sum rules in the planar limit

Afonin, S. S.; Andrianov, A. A.; Andrianov, V. A.; Espriu, D.; Rupp, George; Beveren, Eef van; Bicudo, Pedro; Hiller, Brigitte; Kleefeld, Frieder

doi:10.1063/1.2973495

Cited by 5 publications

(7 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The crucial aspect of the foregoing analysis is that the f 0 (600) resonance corresponds to the lightest state in the radially-excited spectrum of the Regge-like scalar-isoscalar states. This is an important point, since scalar glueballs [42,43] and scalar-isoscalar mesons [44,45] have been studied within the AdS/CFT framework, however neglecting the possible role of the lightest scalar in any of these approaches. The soft-wall version has been reviewed in Ref.…”

Section: Gevmentioning

confidence: 99%

See 1 more Smart Citation

Scalar-isoscalar states in the large-NcRegge approach

2010

View full text Add to dashboard Cite

Scalar-isoscalar states (J P C = 0 ++ ) are investigated within the large-Nc Regge approach. We elaborate on the consequences of including the lightest f0(600) scalar-isoscalar state into such an analysis, where the position of f0(600) fits very well into the pattern of the radial Regge trajectory. Furthermore, we point out that the pion and nucleon spin-0 gravitational form factors, recently measured on the lattice, provide valuable information on the low-mass spectrum of the scalarisoscalar states on the basis of the scalar-meson dominance in the spin-0 channel. Through the fits to these data we find mσ = 450 − 600 MeV. We compare the predictions of various fits and methods. An analysis of the QCD condensates in the two-point correlators provides further constraints on the parameters of the scalar-isoscalar sector. We find that a simple two-state model suggests a meson nature of f0 (600), and a glueball nature of f0 (980), which naturally explains the ratios of various coupling constants. Finally, we note that the fine-tuned condition of the vanishing dimension-2 condensate in the Regge approach with infinitely many scalar-isoscalar states yields a reasonable value for the mass of the lighest glueball state.

show abstract

Section: Gevmentioning

confidence: 99%

“…On the lattice this has been done in a variety of ways, mainly involving quark operators (such asqq, see also [48]). A clear candidate, often used for the gluonium, is given by the trace of the energy-momentum tensor, Θ µν , which satisfies the trace anomaly equation [49],…”

Section: A Interpolating Fieldsmentioning

confidence: 99%

Scalar-isoscalar states in the large-NcRegge approach

2010

View full text Add to dashboard Cite

show abstract

“…In case of Refs. [38,39], the result seems to be related to the fact that one studied the scalar sum rules in conjunction with the pseudoscalar ones with some shared parameters. In the scheme considered, the ground scalar state cannot be significantly lighter than π(1300) whose mass was taken as an input.…”

Section: Discussionmentioning

confidence: 99%

“…This prediction follows both from the standard borelized spectral sum rules [4] and from the planar sum rules [38][39][40]. It should be emphasized that the given prediction is not definitive but rather represents a consequence of some specific assumptions and tricks.…”

Section: Discussionmentioning

confidence: 99%

See 1 more Smart Citation

The sigma meson from QCD sum rules for large- $$N_c$$ N c Regge spectra

Afonin¹,

Solomko²

2016

Eur. Phys. J. C

Self Cite

View full text Add to dashboard Cite

The QCD sum rules in the large-N c limit for the light non-strange vector, axial and scalar mesons are considered assuming a string-like linear spectrum for the radially excited states. We propose an improved method for combined analysis of these channels that gives a reasonable description of the observed spectrum. In the vector-axial case, fixing the pion decay constant and the gluon condensate we obtain more or less physical values for the masses of ground states and the quark condensate. Thus a typical need for this method to fix the mass of some ground state is overcome. Using in the scalar channel the values of presumably universal slope of radial trajectories and the quark condensate obtained in the vector-axial channel, we find that, in contrast to some strong claims in the literature, a prediction of light scalar state with a mass close to the mass of f 0 (500) seems to be natural in the considered approach and may follow in a natural way from the Regge phenomenology.

show abstract

AdS/QCD models describing a finite number of excited mesons with Regge spectrum

Afonin

2009

Physics Letters B

View full text Add to dashboard Cite

The typical AdS/QCD models deal with the large-N c limit of QCD, as a consequence the meson spectrum consists of the infinite number of states that is far from the real situation. Basing on introduction of anharmonic corrections to the holographic potential, the corrections whose existence has been recently advocated, we construct a class of bottom-up holographic models describing arbitrary finite number of states in the sector of light mesons. Within the proposed approach, the spectrum of masses square has the following properties: It is linear, m 2 n ∼ n, at not very large n, nonlinear at larger n, with the nonlinear corrections being subleading in 1/N c , has a limiting mass, and the number of states is proportional to N c . The considered holographic models reflect thereby the merging of resonances into continuum and the breaking of gluon string at sufficiently large quark-antiquark separation that causes the linear Regge trajectories to bend down. We show that these models provide a correct description for the spectrum of excited ρ-mesons.

show abstract

Scalar mesons within QCD sum rules in the planar limit

Cited by 5 publications

References 6 publications

Scalar-isoscalar states in the large-NcRegge approach

Scalar-isoscalar states in the large-NcRegge approach

The sigma meson from QCD sum rules for large- $$N_c$$ N c Regge spectra

AdS/QCD models describing a finite number of excited mesons with Regge spectrum

Contact Info

Product

Resources

About