Proof of factorization of $$\chi _{\text{cJ}}$$ χ cJ production in non-equilibrium QCD at RHIC and LHC in color singlet mechanism

Nayak, Gouranga C.

doi:10.1007/s40094-017-0267-7

Cited by 2 publications

(3 citation statements)

References 60 publications

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“…(10), ( 14) and ( 17) are not gauge invariant. By using the path integral formulation of the background field method of QCD in the presence of SU(3) pure gauge background field A a µ (x) we have proved the factorization of soft and collinear divergences in QCD at all orders in coupling constant in [6][7][8][9][10][11]. Hence from eq.…”

Section: Definition Of the Gluon Distribution Function Insidementioning

confidence: 99%

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Operator Product Expansion in QCD Is Not Consistent With Quantum Field Theory For Gluon Distribution Function

Nayak

2018

Preprint

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Since the operator product expansion (OPE) is applicable at short distance the OPE in QCD does not solve the long distance confinement problem involving hadron in QCD where the nonperturbative QCD is applicable. In this paper we show that the gauge invariant definition of the non-perturbative gluon distribution function inside the hadron consistent with the operator product expansion (OPE) in QCD at high energy colliders is not consistent with the gauge invariant definition of the non-perturbative gluon distribution function in the quantum field theory.

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Section: Definition Of the Gluon Distribution Function Insidementioning

confidence: 99%

“…Because of this reason the non-perturbative PDF and FF are extracted from the experiments from the measurement of (physical) hadronic cross section by using the factorized formula [3][4][5][6][7][8][9][10][11][12][13]…”

Section: Introductionmentioning

confidence: 99%

Operator Product Expansion in QCD Is Not Consistent With Quantum Field Theory For Gluon Distribution Function

Nayak

2018

Preprint

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“…including heavy quark H in eq. ( 5) in non-equilibrium QCD by using the closed-time path integral formalism is used to prove the factorization of χ cJ and NRQCD heavy quarkonium production from the non-equilibrium quark-gluon plasma at RHIC and LHC [34,35].…”

Section: Similarly the Generating Functionalmentioning

confidence: 99%

There Is No Proof of Thermalized Quark-Gluon Plasma at RHIC and LHC

Nayak

2018

Preprint

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Although Tevatron has discovered top quark and LHC (pp collisions) has discovered Higgs boson but the RHIC and LHC heavy-ion colliders have not discovered thermalized quark-gluon plasma (QGP). This is because the experimental data of top quark at Tevatron and the experimental data of Higgs boson at LHC are compared with the exact first principle calculation but the experimental data at RHIC and LHC are compared with simplistic models and assumptions which are not exact first principle calculation. In this paper we show that the exact first principle method to study quark-gluon plasma at RHIC and LHC is the nonequilibrium-nonperturbative QCD by using closed-time path integral formalism. Hence in the absence of such exact first principle calculation we conclude that there is no proof of thermalized quark-gluon plasma at RHIC and LHC.

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Proof of factorization of $$\chi _{\text{cJ}}$$ χ cJ production in non-equilibrium QCD at RHIC and LHC in color singlet mechanism

Cited by 2 publications

References 60 publications

Operator Product Expansion in QCD Is Not Consistent With Quantum Field Theory For Gluon Distribution Function

Operator Product Expansion in QCD Is Not Consistent With Quantum Field Theory For Gluon Distribution Function

There Is No Proof of Thermalized Quark-Gluon Plasma at RHIC and LHC

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