Weinberg like sum rules revisited

Afonin, S. S.

doi:10.1186/1754-0410-3-1

Cited by 10 publications

(7 citation statements)

References 114 publications

(203 reference statements)

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The simplest SW holographic models can be viewed as the most selfconsistent way of rewriting the infinite number of pole terms (expected in the large-N c limit of QCD [47,48]) with linear spectrum of masses squared, in the pole representation of two-point Correlation Functions (CFs), as some 5D gravitational model of free fields [49,50]. This means, in particular, that the SW holographic models are closely related with the planar QCD sum rules which were widely used in the past to study the phenomenology of linear radial trajectories in the meson sector [51]. In the field of deep inelastic scattering, the holographic approach, especially the SW one, recovers the old pre-QCD dual description with all its phenomenological successes [17].…”

Section: Introductionmentioning

confidence: 99%

Towards a theory of bottom-up holographic models for linear Regge trajectories of light mesons

Afonin,

Solomko

2021

Preprint

View full text Add to dashboard Cite

We develop a bottom-up holographic theory of linear meson Regge trajectories that generalizes and unites into one logical framework various approaches proposed in the past and scattered in the literature. The starting point of the theory is a quadratic in fields holographic five-dimensional action in which the Poincaré invariance along the holographic coordinate is violated in the most general way compatible with the linear Regge behavior of the discrete spectrum in four dimensions. The linearity of radial spectrum ensures the correct structure of OPE of two-point correlation functions. It is further demonstrated how different Soft Wall (SW) like holographic models existing in the literature plus some new ones emerge from our general setup. Various interrelations between the emerging models are studied. These models include the known SW models with different sign in the exponential background, the SW models with certain generalized backgrounds, with modified metrics, and models with the mass term depending on the holographic coordinate in a simple polynomial way. We argue that this dependence allows to describe the effects caused by the main non-local phenomena of strongly coupled 4D gauge theory -the confinement and spontaneous chiral symmetry breaking -in terms of a local 5D dual field theory in the AdS space. We provide a detailed comparison of our approach with the Light Front holographic QCD, with the spectroscopic predictions of the dual Veneziano like amplitudes, and with the experimental Regge phenomenology. A renormalization recipe is formulated that allows to avoid the problem of unphysical massless pole arising in the vector case in a general situation. The given recipe can be used to predict the intercept of linear radial trajectory related with the ground state mass. We apply our general approach to a holographic study of confinement, chiral symmetry breaking, and the pion form factor.

show abstract

Section: Introductionmentioning

confidence: 99%

Towards a theory of bottom-up holographic models for linear Regge trajectories of light mesons

Afonin,

Solomko

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…[2,3] for calculation of CFs follows in a natural way within such a rewriting. This means, in particular, that the SW holographic models are closely related with the planar QCD sum rules (in a sense, they represent just 5D rewriting of those sum rules [68]) which were widely used in the past to study the phenomenology of linear radial trajectories in the meson sector [70]. In descriptions of hadron electromagnetic form factors, the holographic approach, especially the SW one, recovers the old pre-QCD dual description with all its phenomenological successes [27].…”

Section: Introductionmentioning

confidence: 99%

Towards a theory of bottom-up holographic models for linear Regge trajectories of light mesons

Afonin

Solomko

2022

Eur. Phys. J. C

View full text Add to dashboard Cite

We advance in constructing a bottom-up holographic theory of linear meson Regge trajectories that generalizes and unites into one logical framework various bottom-up holographic approaches proposed in the past and scattered in the literature. The starting point of the theory is a quadratic in fields holographic five-dimensional action in which the Poincaré invariance along the holographic coordinate is violated in the most general way compatible with the linear Regge behavior of the discrete spectrum in four dimensions. It is further demonstrated how different Soft Wall (SW) like holographic models existing in the literature plus some new ones emerge from our general setup. Various interrelations between the emerging models are studied. These models include the known SW models with different sign in the exponential background, the SW models with certain generalized backgrounds, with modified metrics, and No Wall models with 5D mass depending on the holographic coordinate in a simple polynomial way. We argue that this dependence allows to describe the effects caused by the main non-local phenomena of strongly coupled 4D gauge theory, the confinement and chiral symmetry breaking, in terms of a local 5D dual field theory in the AdS space. We provide a detailed comparison of our approach with the Light Front holographic QCD, with the spectroscopic predictions of the dual Veneziano like amplitudes, and with the experimental Regge phenomenology. We apply our general approach to a holographic study of confinement, chiral symmetry breaking, and the pion form factor.

show abstract

“…We checked also other variants with inputs corresponding to f π = 87 MeV in Table 1 and with α s = 0 in (28). They result in a shift within 70-80 MeV for masses that lies within the accuracy of the large-N c limit.…”

Section: Scalar Sum Rulesmentioning

confidence: 99%

“…The quantities M σ , G σ , G = g (where g is defined in (29)), and mass of the first state on the scalar trajectory are plotted in Fig. 2 using the inputs from Table 1 for f π = 93 MeV and α s 1/π in (28) that was obtained in the vector case. The intercept m 2 s can be negative as the sum in (23) begins with n = 1.…”

Section: Scalar Sum Rulesmentioning

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

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

Weinberg like sum rules revisited

Cited by 10 publications

References 114 publications

Towards a theory of bottom-up holographic models for linear Regge trajectories of light mesons

Towards a theory of bottom-up holographic models for linear Regge trajectories of light mesons

Towards a theory of bottom-up holographic models for linear Regge trajectories of light mesons

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

Contact Info

Product

Resources

About