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

Gogokhia, V.

doi:10.1007/s10773-009-0101-3

Cited by 5 publications

(51 citation statements)

References 32 publications

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“…The NP heat capacity and the velocity of sound squared do not satisfy the SB-type relations (43), as can be seen in Figs. 3 and 4.…”

Section: Numerical Results and Discussionmentioning

confidence: 96%

“…In our previous work [43] it has been proven that the full effective charge depends explicitly and regularly on the scale ∆ 2 (the so-called mass gap) responsible for the NP dynamics in QCD, i.e., d(q 2 ) ≡ (q 2 ; ∆ 2 ). The abovementioned symbolic subtraction at the fundamental gluon level can then be defined as [27,43]:…”

Section: The Gluon Pressure At Zero Temperaturementioning

confidence: 99%

“…Both effective masses are due to the mass gap ∆ 2 , which is responsible for the largescale structure of the QCD ground state. It is dynamically generated by the nonlinear interaction of massless gluon modes [43,45,46]. The first massive excitations can be interpreted as the glueballs, since m ef f is comparable to the masses of scalar glueballs (though it is lighter than the pseudoscalar ones) [61].…”

Section: The Mass Gap and A "Fuzzy Bag" Termmentioning

confidence: 99%

“…The existence of the SB-type relations (43)- (44) at T c shows that the structure of the GM below and above T c may be really rather different.…”

Section: (Vii)mentioning

confidence: 99%

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The non-perturbative analytical equation of state for the gluon matter: I

Gogokhia¹,

Vasúth²

2010

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

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HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L'archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d'enseignement et de recherche français ou étrangers, des laboratoires publics ou privés. Abstract. The effective potential approach for composite operators is generalized to non-zero temperatures in order to derive the equation of state for pure SU (3) Yang-Mills fields. In the absence of external sources, this is nothing but the vacuum energy density. The key element of this derivation is the introduction of a temperature dependence into the expression for the bag constant. The non-perturbative analytical equation of state for gluon matter does not depend on the coupling constant, but instead introduces a dependence on the mass gap. This is responsible for the largescale structure of the QCD ground state. The important thermodynamic quantities, such as the pressure, energy and entropy densities, etc., have been calculated. We show explicitly that the pressure may vary smoothly around T c = 266.5 MeV, whereas all other thermodynamic quantities undergo drastic changes at this point. The proposed analytical approach makes it possible to control for the first time the thermodynamics of gluon matter at low temperatures, below T c . We reproduce the properties of the socalled "fuzzy bag"-type models through the presence of the mass gap in our equation of state. An analytic calculation of the gluon condensate is obtained as a function of temperature.

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“…The NP heat capacity and the velocity of sound squared do not satisfy the SB-type relations (43), as can be seen in Figs. 3 and 4.…”

Section: Numerical Results and Discussionmentioning

confidence: 96%

Section: The Gluon Pressure At Zero Temperaturementioning

confidence: 99%

Section: The Mass Gap and A "Fuzzy Bag" Termmentioning

confidence: 99%

“…The existence of the SB-type relations (43)- (44) at T c shows that the structure of the GM below and above T c may be really rather different.…”

Section: (Vii)mentioning

confidence: 99%

See 2 more Smart Citations

The non-perturbative analytical equation of state for the gluon matter: I

Gogokhia¹,

Vasúth²

2010

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

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“…In our previous work [1] the mass gap responsible for the non-perturbative dynamics in QCD has been introduced through the definition of the subtracted full gluon self-energy. So it is defined as the value of the regularized full gluon self-energy at some finite point.…”

Section: Introductionmentioning

confidence: 99%

Renormalization of the Mass Gap

Gogokhia¹

2009

Int J Theor Phys

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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 mass gap, which dominates its structure at small gluon momentum. It is automatically transversal in a gauge invariant way. It is characterized by the presence of severe infrared singularities at small gluon momentum, so the gluons remain massless, and this does no depend on the gauge choice. In this paper we have shown how precisely the renormalization program for the regularized mass gap should be performed. We have also shown how precisely severe infrared singularities should be correctly treated. This allowed to analytically formulate the exact and gauge-invariant criteria of gluon and quark confinement. After the renormalization program is completed, one can derive the gluon propagator applicable for the calculation of physical observables, processes, etc., in low-energy QCD from first principles.

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Nonlinear Iteration Solution for the Full Gluon Propagator as a Function of the Mass Gap

Gogokhia¹

2009

Int J Theor Phys

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We have explicitly shown that QCD is the color gauge invariant theory at non-zero mass gap as well. It has been defined as the value of the regularized full gluon self-energy at some finite point. The mass gap is mainly generated by the nonlinear interaction of massless gluon modes. All this allows one to establish the structure of the full gluon propagator in the explicit presence of the mass gap. In this case, the two independent general types of formal solutions for the full gluon propagator as a function of the regularized mass gap have been found. The nonlinear iteration solution at which the gluons remain massless is explicitly present. The existence of the solution with an effective gluon mass is also demonstrated.

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

Cited by 5 publications

References 32 publications

The non-perturbative analytical equation of state for the gluon matter: I

The non-perturbative analytical equation of state for the gluon matter: I

Renormalization of the Mass Gap

Nonlinear Iteration Solution for the Full Gluon Propagator as a Function of the Mass Gap

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