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We propose to realize a mass gap in QCD by not imposing the transversality condition on the full gluon self-energy, while preserving the color gauge invariance condition for the full gluon propagator. This is justified by the nonlinear and…

高能物理 - 理论 · 物理学 2007-05-23 V. Gogokhia

We propose to realize a mass gap in QCD not imposing the transversality condition on the full gluon self-energy, while preserving the color gauge invariance condition for the full gluon propagator. Since due to color confinement the gluon…

高能物理 - 唯象学 · 物理学 2007-05-23 V. Gogokhia

We propose to realize a mass gap in QCD by not imposing the transversality condition on the full gluon self-energy, while preserving the color gauge invariance condition for the full gluon propagator. This is justified by the nonlinear and…

高能物理 - 唯象学 · 物理学 2007-05-23 V. Gogokhia

The physical meaning of a mass gap introduced by Jaffe and Witten is to be responsible for the large-scale (low-energy/momentum), i.e., the non-perturbative structure of the true QCD vacuum. In order to make the existence of a mass gap…

高能物理 - 唯象学 · 物理学 2008-03-05 V. Gogokhia

We present a non-perturbative multiplicative renormalization program for the massive gluon fields. This has been done within the previously formulated the mass gap approach to QCD. It is based on a new insights into its ground state true…

高能物理 - 唯象学 · 物理学 2026-05-22 V. Gogokhia , G. G. Barnafoldi

The full gluon propagator relevant for the description of the truly non-perturbative QCD dynamics, the so-called intrinsically non-perturbative gluon propagator has been derived in our previous work. It explicitly depends on the regularized…

高能物理 - 唯象学 · 物理学 2009-12-15 V. Gogokhia

We fix exactly and uniquely the infrared structure of the full gluon propagator in QCD, not solving explicitly the corresponding dynamical equation of motion. By construction, this structure is an infinite sum over all possible severe…

高能物理 - 唯象学 · 物理学 2009-11-10 V. Gogohia

We convincingly argue that the true dynamical and gauge structures of the QCD ground state are much more complicated than its Lagrangian exact gauge symmetry supposes to be. The dynamical source of these complications has been identified…

高能物理 - 唯象学 · 物理学 2021-05-11 Gergely Gábor Barnaföldi , Vakhtang Gogokhia

We establish exactly and uniquely the infrared structure of the full gluon propagator in QCD, not solving explicitly the corresponding dynamical equation of motion. By construction, this structure is an infinite sum over all possible severe…

高能物理 - 唯象学 · 物理学 2007-05-23 V. Gogohia

We report on a special type of solutions for the gluon propagator of pure QCD, obtained from the corresponding non-linear Schwinger-Dyson equation formulated in the Feynman gauge of the background field method. These solutions reach a…

高能物理 - 唯象学 · 物理学 2008-11-26 Arlene C. Aguilar , Joannis Papavassiliou

The general scale parameter, having the dimensions of mass squared, is dynamically generated in the QCD gluon sector. It is introduced through the difference between the regularized full gluon self-energy and its value at some finite point.…

高能物理 - 理论 · 物理学 2009-10-05 V. Gogokhia

Infrared finite solutions for the gluon propagator of pure QCD are obtained from the gauge-invariant non-linear Schwinger-Dyson equation formulated in the Feynman gauge of the background field method. These solutions may be fitted using a…

高能物理 - 唯象学 · 物理学 2008-11-26 A. C. Aguilar , J. Papavassiliou

We have unambiguously established the dynamical source of the mass scale parameter (the mass gap) responsible for the large scale structure of the true QCD vacuum. At the microscopic, Lagrangian level it is the nonlinear fundamental…

高能物理 - 理论 · 物理学 2009-11-10 V. Gogohia

Recent large-volume lattice simulations have established that, in the Landau gauge, the gluon propagator is infrared-finite. The most natural way to explain this observed finiteness is the generation of a nonperturbative, momentum-dependent…

高能物理 - 唯象学 · 物理学 2012-08-27 David Ibanez

We convincingly argue that the true dynamical and gauge structure of the QCD ground state is much more complicated than its Lagrangian exact gauge symmetry supposes to be. The dynamical source of these complications has been identified with…

高能物理 - 理论 · 物理学 2026-03-30 Vakhtang Gogokhia , Gergely Gábor Barnaföldi

We have explicitly shown that the infrared structure of the full gluon propagator in QCD is an infite sum over all severe (i.e., more singular than $1/q^2$) infrared singularities. It reflects the zero momentum modes enhancement effect in…

高能物理 - 唯象学 · 物理学 2007-05-23 V. Gogohia

We show that the gauge invariant treatment of the Schwinger-Dyson equations of QCD leads to an infrared finite gluon propagator, signaling the dynamical generation of an effective gluon mass, and a non-enhanced ghost propagator, in…

高能物理 - 唯象学 · 物理学 2009-04-14 A. C. Aguilar , D. Binosi , J. Papavassiliou

The skeleton loop integrals which contribute into the gluon self-energy have been iterated (skeleton loops expansion) within the Schwinger-Dyson equation for the full gluon propagator. No any truncations/approximations as well as no special…

高能物理 - 唯象学 · 物理学 2007-05-23 V. Gogohia

Assuming that a non-trivial quantum Yang-Mills theory exists, we have proved that it should have a mass gap $\Delta^2 > 0$, indeed. The proof is based on the derivation of the novel constraint on any solution to QCD. It has been exactly and…

高能物理 - 理论 · 物理学 2026-05-19 V. Gogokhia , Barnaföldi Gergely Gábor

A longstanding question in QCD is the origin of the mass gap in the Yang-Mills sector of QCD, i.e., QCD without quarks. In Landau gauge QCD this mass gap, and hence confinement, is encoded in a mass gap of the gluon propagator, which is…

高能物理 - 唯象学 · 物理学 2021-12-22 Gernot Eichmann , Jan M. Pawlowski , João M. Silva
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