On the dynamical mass generation in confining Yang–Mills theories

Sorella, S. P.

doi:10.1016/j.aop.2006.02.014

Cited by 11 publications

(18 citation statements)

References 63 publications

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“…From Q max to ∞, R e + e − remained constant, and in this region we can make the integration of Eq. (19) analytically. The quite narrow resonances are given by Eq.…”

Section: Hadronic Cross Section R E + E − (S)mentioning

confidence: 99%

Re+e−and an effective QCD charge

Gómez

Natale

2016

Phys. Rev. D

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We consider the electron-positron annihilation process into hadrons R e + e − up to O(α 3 s ) and we adopt the smearing method suggest by Poggio, Quinn and Weinberg to confront the experimental data with theory. As a theoretical model we use a QCD coupling constant frozen in the low energy regime, where this coupling can be parameterised in terms of an effective dynamical gluon mass (mg) which is determined through Schwinger-Dyson equations. In order to find the best fit between experimental data and theory we perform a χ 2 study, that, within the uncertainties of the approach, has a minimum value when mg/ΛQCD is in the range 1.2 − 1.4. These values are in agreement with other phenomenological determinations of this ratio and lead to an infrared effective charge αs(0) ≈ 0.7. We comment how this effective charge may affect the global duality mass scale that indicates the frontier between perturbative and non-perturbative physics.

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“…From Q max to ∞, R e + e − remained constant, and in this region we can make the integration of Eq. (19) analytically. The quite narrow resonances are given by Eq.…”

Section: Hadronic Cross Section R E + E − (S)mentioning

confidence: 99%

Re+e−and an effective QCD charge

Gómez

Natale

2016

Phys. Rev. D

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“…[35]. We wish to consider the former since it has been related to a possible effective gluon mass [36][37][38] that has been seemingly found in several other analytical calculations [39][40][41][42][43][44][45][46] and in numerical and lattice calculations [37,38,[47][48][49][50][51]. Our departing point therefore is the NJL of Ref.…”

Section: Introduction and Extended Nambu-jona-lasinio Model From Qcdmentioning

confidence: 99%

Vacuum polarization corrections to low energy quark effective couplings

Paulo

Braghin

2014

Phys. Rev. D

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In this work corrections to low energy punctual effective quark couplings up to the eighth order are calculated by considering vacuum polarization effects with the scalar quark-antiquark condensate. The departing point is a QCD-based NJL model. By separating the quark field into two components, one that condenses and another one for interacting quarks, the former is integrated out with the help of usual auxiliary fields and an effective action in terms for interacting quark fields is found. The scalar auxiliary field reduces to the quark-antiquark condensate in the vacuum and the determinant is expanded in powers of the quark-antiquark bilinears generating chiral invariant effective 2N-quark interactions (N = 2, 3...). The corresponding coupling constants and effective masses are estimated, and the general trend is that for increasing the effective gluon mass the values of the effective coupling constants decrease. All the values are in good agreement with phenomenological fits.

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“…This should be done by some kind of consistent gap equation, as m is not supposed to be a free parameter of the theory, see also [3,4,22]. This is however beyond the scope of the present paper.…”

Section: Discussionmentioning

confidence: 99%