Erratum: Determination of the quantum part of the truly nonperturbative Yang-Mills vacuum energy density in covariant gauge QCD [Phys. Rev. D<b>62</b>, 076008 (2000)]

Gogohia, V.; Kluge, Gy.

doi:10.1103/physrevd.63.099902

Cited by 12 publications

(20 citation statements)

References 26 publications

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“…Thus, in order to correctly calculate the Bag constant in accordance with the above-mentioned definition, it is necessary to replace the full Lorentz structure by its TNP counterpart due to the prescription (9.6) within our method. For how to correctly define and actually calculate the Bag constant from first principles, by making all the necessary subtractions at all levels, see [26,27].…”

Section: Discussionmentioning

confidence: 99%

The Color Gauge Invariance and a Possible Origin of Mass in QCD

Gogokhia¹

2009

Int J Theor Phys

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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. It violates transversality of the full gluon self-energy. The Slavnov-Taylor identity for the full gluon propagator, when it is given by the corresponding equation of motion, is also violated by it. So in order to maintain both transversality and the identity it should be disregarded from the very beginning, i.e., put formally zero everywhere. However, we have shown how to preserve the above-mentioned identity at non-zero mass squared parameter. This allows one to establish the structure of the full gluon propagator when it is explicitly present. Its contribution does not survive in the perturbation theory regime, when the gluon momentum goes to infinity. At the same time, its contribution dominates the structure of the full gluon propagator when the gluon momentum goes to zero. We have also proposed a method how to restore transversality of the relevant gluon propagator in a gauge invariant way, while keeping the mass squared parameter "alive".

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Section: Discussionmentioning

confidence: 99%

The Color Gauge Invariance and a Possible Origin of Mass in QCD

Gogokhia¹

2009

Int J Theor Phys

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“…We have shown, both numerically and analytically, that interactions of supersymmetric wave modes with the YMC lead to similar energy swap effect from the YMC to the (pseudo) scalar wave modes as it was earlier observed for the vector wave modes. We also studied the heterogenic system of two interacting YMCs in the ( ) 4 …”

Section: Sumentioning

confidence: 99%

“…In Section IV we apply our quasi-classical approach to the 4 =  super-Yang-Mills theory. Section V contains a discussion of the two-condensate ( ) 4 …”

Section: Sumentioning

confidence: 99%

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Conformal Evolution of Waves in the Yang-Mills Condensate: The Quasi-Classical Approach

Pasechnik¹,

Prokhorov²,

Vereshkov³

2014

JMP

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We have constructed a consistent system of equations for the Yang-Mills quantum-wave fluctuations in the classical Yang-Mills condensate based on canonical quantization in the Heisenberg representation. Such a quasi-classical system has been thoroughly analyzed in the conformal limit in the linear and quasi-linear approximations, both analytically and numerically. We have found that interaction between waves and condensate triggers a significant transfer or swap of energy from the condensate to the wave modes in the

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“…The attempt to identify the vacuum energy density with the bag constant has a long history (see e.g. [31,32,33]). The difficulty in making a credible identification has been that the contribution gluons to the vacuum energy density appears to be much larger than the empirical bag constants (Table I) whereas the energy density due to the light quark condensate is of the same order.…”

Section: Bag Modelsmentioning

confidence: 99%