Parity Doubling in Particle Physics

Afonin, S. S.

doi:10.1142/s0217751x07037238

Cited by 56 publications

(60 citation statements)

References 206 publications

(306 reference statements)

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“…Only that way the leading logarithmic behavior (22) can be reproduced. Similar studies have been carried out in the past for other correlators in the Regge approach [75][76][77][78][79][80][81][82][83][84][85]. Here we focus on the Π ΘΘ correlator defined in Eq.…”

Section: Dimension Two Condensates In the Scalar Sectormentioning

confidence: 92%

Scalar-isoscalar states in the large-NcRegge approach

2010

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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.

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Section: Dimension Two Condensates In the Scalar Sectormentioning

confidence: 92%

Scalar-isoscalar states in the large-NcRegge approach

2010

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“…The issue of possible restoration of the full U(N f ) L ×U(N f ) R chiral symmetry attracted much attention lately mainly in connection with the inspiring works of Glozman and collaborators [5][6][7][8][9][10]. The history of the topic of parity doubling on the Regge trajectories is presented in the review papers [11,12].…”

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confidence: 99%

Highly excited mesons, linear Regge trajectories, and the pattern of the chiral symmetry realization

2008

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The chiral symmetry of QCD shows up in the linear Weyl-Wigner mode at short Euclidean distances or at high temperatures. On the other hand, low-lying hadronic states exhibit the nonlinear Nambu-Goldstone mode. An interesting question was raised as to whether the linear realization of the chiral symmetry is asymptotically restored for highly excited states. We address it in a number of ways. On the phenomenological side we argue that to the extent the meson Regge trajectories are observed to be linear and equidistant, the Weyl-Wigner mode is not realized. This picture is supported by quasiclassical arguments implying that the quark spin interactions in high excitations are weak, the trajectories are linear, and there is no chiral symmetry restoration. Then we use the string/gauge duality. In the top-down Sakai-Sugimoto construction the nonlinear realization of the chiral symmetry is built in. In the bottom-up AdS/QCD construction by Erlich et al., and Karch et al. the situation is more ambiguous. However, in this approach linearity and equidistance of the Regge trajectories can be naturally implemented, with the chiral symmetry in the Nambu-Goldstone mode.Asymptotic chiral symmetry restoration might be possible if a nonlinearity (convergence) of the Regge trajectories in an "intermediate window" of n, J, beyond the explored domain, takes place. This would signal the failure of the quasiclassical picture.

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“…If L is identified with the real orbital angular momentum of quark-antiquark pair in mesons, the relation (15) predicts a hydrogen-like kind of degener-acy in meson spectra [13]. The spectral law (15) was observed in the light non-strange mesons by several authors [14,15].…”

Section: Discussionmentioning

confidence: 98%