Monopole Condensation and Mass Gap in Su(3) QCD

Cho, Y. M.

doi:10.1142/s0217751x14500134

Cited by 17 publications

(49 citation statements)

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“…Furthermore, ECD simplifies the complicated non-Abelian gauge symmetry to a simple discrete symmetry called the color reflection symmetry which is much easier to handle [2,3]. This plays a crucial role for us to implement the gauge invariance when we calculate the QCD effective action to demonstrate the monopole condensation, and allows us to clarify the confusions of the old calculations of the effective action [17,24].…”

Section: With This We Have the Following Form Of Su(3) Ecd [24]mentioning

confidence: 99%

“…But most importantly the Abelian decomposition allows us to calculate the SU(3) QCD effective action directly from the SU(2) QCD effective action [24]. This is because the Abelian decomposition of SU(3) QCD trans-forms it to a Weyl symmetric form of three SU(2) QCD.…”

Section: With This We Have the Following Form Of Su(3) Ecd [24]mentioning

confidence: 99%

“…To show this we first make the Abelian decomposition and choose the gauge invariant and parity conserving monopole background H µν [17,24]…”

Section: One-loop Effective Action Of Su(2) Qcd: a Reviewmentioning

confidence: 99%

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Abelian decomposition and Weyl symmetric effective action of SU(3) QCD

Cho

2019

Eur. Phys. J. C

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We show how to calculate the effective potential of SU(3) QCD which tells that the true minimum is given by the monopole condensation. To do this we make the gauge independent Weyl symmetric Abelian decomposition of the SU(3) QCD which decomposes the gluons to the color neutral neurons and the colored chromons. In the perturbative regime this decomposes the Feynman diagram in such a way that the conservation of color is explicit. Moreover, this shows the existence of two gluon jets, the neuron jet and chromon jet, which can be verified by experiment. In the non-perturbative regime, the decomposition puts QCD to the background field formalism and reduces the non-Abelian gauge symmetry to a discrete color reflection symmetry, and provides us an ideal platform to calculate the one-loop effective action of QCD. Integrating out the chromons from the Weyl symmetric Abelian decomposition of QCD gauge invariantly imposing the color reflection invariance, we obtain the SU(3) QCD effective potential which generates the stable monopole condensation and the mass gap. We discuss the physical implications of our result, in particular the possible existence of the vacuum fluctuation mode of the monopole condensation in QCD.

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Section: With This We Have the Following Form Of Su(3) Ecd [24]mentioning

confidence: 99%

Section: With This We Have the Following Form Of Su(3) Ecd [24]mentioning

confidence: 99%

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Abelian decomposition and Weyl symmetric effective action of SU(3) QCD

Cho

2019

Eur. Phys. J. C

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“…One could think of two reasons why this is so. First, the glueballs made of chromons have an intrinsic instability [30,31]. So they have broad widths, broader than the normal hadronic decay width.…”

Section: Introductionmentioning

confidence: 99%

“…In fact in the presence of a chromo-electric background the chromon loop generates a negative imaginary part but the quark loop generates a positive imaginary part in the QCD effective action. This tells that the chromo-electric field tends to generate the pair annihilation of the chromons [30,31,[38][39][40].…”

Section: Introductionmentioning

confidence: 99%

Abelian decomposition and glueball-quarkonium mixing in QCD

2018

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The Abelian decomposition of QCD which decomposes the gluons to the color neutral binding gluons (the neurons) and the colored valence gluons (the chromons) gauge independently naturally generalizes the quark model to the quark and chromon model which could play the central role in hadron spectroscopy. We discuss the color reflection symmetry, the fundamental symmetry of the quark and chromon model, and explain how it describes the glueballs and the glueball-quarkonium mixing in QCD. We present the numerical analysis of glueball-quarkonium mixing in 0 ++ , 2 ++ , and 0 −+ sectors below 2 GeV, and show that in the 0 ++ sector f0(500) and f0(1500), in the 2 ++ sector f2 (1950), and in the 0 −+ sector η(1405) and η(1475) could be identified as predominantly the glueball states. We discuss the physical implications of our result.

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