Dynamical mass generation in continuum quantum chromodynamics

Cornwall, John M.

doi:10.1103/physrevd.26.1453

Cited by 1,100 publications

(2,070 citation statements)

References 49 publications

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“…The measured infrared hard mass reproduces the results reported in [5] for SU(3) simulations and is consistent with the quoted infrared mass value estimated for SU (2) in [28], where an M of 0.69(3) GeV or 0.68(4) GeV, depending if one includes or not include D(0) on the analysis, was claimed. Furthermore, the gluon masses claimed above agree well with the estimate of the gluon mass from the gluon condensate A 2 obtained in [29], where the value 625(33) MeV was obtained, and is well within the interval of values estimated from phenomenology [4].…”

Section: Resultssupporting

confidence: 90%

“…Further, M 2 (q 2 ) follows a q 2 behavior in the infrared region and the lattice data can be fitted assuming M 2 (q 2 ) ∼ q 2 ln q 2 as suggest in [2].…”

Section: Momentum Dependent Gluon Massmentioning

confidence: 99%

“…Lattice M 2 (q 2 ) and Dyson-Schwinger Results: As discussed in [2], the nonperturbative solution of the QCD Dyson-Schwinger equations allows for a gluon Table 5. Fits of the lattice data using equation (15) dynamical generated mass.…”

Section: 22mentioning

confidence: 99%

“…However, as discussed in [2], a dynamical generated mass which is a function of the momentum is allowed if one goes beyond perturbation theory.…”

Section: Introductionmentioning

confidence: 99%

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Running gluon mass from a Landau gauge lattice QCD propagator

Oliveira

Bicudo²

2011

J. Phys. G: Nucl. Part. Phys.

144

137

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Abstract. The interpretation of the Landau gauge lattice gluon propagator as a massive type bosonic propagator is investigated. Three different scenarios are discussed: i) an infrared constant gluon mass; ii) an ultraviolet constant gluon mass; iii) a momentum dependent mass. We find that the infrared data can be associated with a massive propagator up to momenta ∼ 500 MeV, with a constant gluon mass of 723(11) MeV, if one excludes the zero momentum gluon propagator from the analysis, or 648(7) MeV, if the zero momentum gluon propagator is included in the data sets. The ultraviolet lattice data is not compatible with a massive type propagator with a constant mass. The scenario of a momentum dependent gluon mass gives a decreasing mass with the momentum, which vanishes in the deep ultraviolet region. Furthermore, we show that the functional forms used to describe the decoupling like solution of the Dyson-Schwinger equations are compatible with the lattice data with similar mass scales.

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Section: Resultssupporting

confidence: 90%

“…Further, M 2 (q 2 ) follows a q 2 behavior in the infrared region and the lattice data can be fitted assuming M 2 (q 2 ) ∼ q 2 ln q 2 as suggest in [2].…”

Section: Momentum Dependent Gluon Massmentioning

confidence: 99%

Section: 22mentioning

confidence: 99%

“…However, as discussed in [2], a dynamical generated mass which is a function of the momentum is allowed if one goes beyond perturbation theory.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Running gluon mass from a Landau gauge lattice QCD propagator

Oliveira

Bicudo²

2011

J. Phys. G: Nucl. Part. Phys.

144

137

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“…As calculated by Cornwall [7], the coupling constant is frozen in the low momentum by the addition of the massive term, Eq. (18),…”

Section: The Modified Meson Form Factormentioning

confidence: 99%

Meson form factors and nonperturbative gluon propagators

Sauter

2003

Phys. Rev. D

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The meson (pion and kaon) form factor is calculated in the perturbative framework with alternative forms for the running coupling constant and the gluon propagator in the infrared kinematic region. These modified forms are employed to test the sensibility of the meson form factor to the nonperturbative contributions. Its is a powerful discriminating quantity and the results obtained with a particular choice of modified running coupling constant and gluon propagator have a good agreement with the available data, for both mesons, indicating the robustness of the method of calculation. Nevertheless, nonperturbative aspects may be included in the perturbative framework of calculation of exclusive processes.

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Asymptotic Freedom from Thermal and Vacuum Magnetization

Persson

1996

Annals of Physics

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We calculate the effective Lagrangian for a magnetic field in spinor, scalar and vector QED. Connections are then made to $SU(N_C)$ Yang--Mills theory and QCD. The magnetization and the corresponding effective charge are obtained from the effective Lagrangian. The renormalized vacuum magnetization will depend on the renormalization scale chosen. Regardless of this, the effective charge decreasing with the magnetic field, as in QCD, corresponds to anti- screening and asymptotic freedom. In spinor and scalar QED on the other hand, the effective charge is increasing with the magnetic field, corresponding to screening. Including effects due to finite temperature and density, we comment on the effective charge in a degenerate fermion gas, increasing linearly with the chemical potential. Neglecting the tachyonic mode, we find that in hot QCD the effective charge is decreasing as the inverse temperature, in favor for the formation of a quark-gluon plasma. However, including the real part of the contribution from the tachyonic mode, we find instead an effective charge increasing with the temperature. Including a thermal gluon mass, the effective charge in hot QCD is group invariant (unlike in the two cases above), and decreases logarithmically in accordance to the vacuum renormalization group equation, with the temperature as the momentum scale.Comment: 38 pages. Latex. More sequential treatment of different limits. Thermal gluon mass include

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Dynamical mass generation in continuum quantum chromodynamics

Cited by 1,100 publications

References 49 publications

Running gluon mass from a Landau gauge lattice QCD propagator

Running gluon mass from a Landau gauge lattice QCD propagator

Meson form factors and nonperturbative gluon propagators

Asymptotic Freedom from Thermal and Vacuum Magnetization

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