Monopole condensation in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>SU</mml:mi><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:mo>)</mml:mo><mml:mn /></mml:math>QCD

Cho, Y. M.; Pak, D. G.

doi:10.1103/physrevd.65.074027

Cited by 57 publications

(75 citation statements)

References 63 publications

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“…But clearly the two results are consistent with each other. Indeed, as far as the generalized Skyrme theory could be viewed as a generalized Skyrme-Faddeev theory, one could say that the derivation of the generalized Skyrme-Faddeev action from the effective action of QCD [13,15] provides another evidence which supports our derivation in this paper. 2) Our result suggests that the Skyrme theory is a theory of monopoles interacting with the scalar field ξ.…”

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confidence: 78%

“…1) The assertion that one can derive the Skyrme action from QCD is understandable. Recently we have been able to derive a generalized Skyrme-Faddeev action from the one-loop effective action of QCD which we obtained with the monopole background [13,15]. This derivation was different from our derivation of the generalized Skyrme action discussed here.…”

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confidence: 85%

“…One may object the introduction of the mass term, because it will certainly violate the gauge invariance of QCD. But notice that, after the dynamical symmetry breaking with the monopole condensation, one could assume (simple mindedly) that the restricted potential acquires a mass [13,15]. This would justify the introduction of the mass term in the infra-red limit of QCD.…”

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confidence: 99%

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Monopoles and Knots in Skyrme Theory

Cho

2001

Phys. Rev. Lett.

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We show that the Skyrme theory actually is a theory of monopoles which allows a new type of solitons, the topological knots made of monopole-anti-monopole pair, which is different from the well-known skyrmions. Furthermore we derive a generalized Skyrme action from the Yang-Mills action of QCD, which we propose to be an effective action of QCD in the infra-red limit. We discuss the physical implications of our results.PACS numbers: 21.60. Fw, 11.10.Lm The proposal that the Skyrme theory could describe an effective theory of QCD in the low energy limit has become very popular [1,2]. In this view the skyrmions are interpreted as the baryons, and there have been many evidences which support this view [3]. Motivated by the success of the proposal many people have tried to derive the Skyrme action from QCD. But a concrete theoretical proof of the proposal, that one can actually derive the Skyrme action from QCD, has remained very difficult [4].The purpose of this Letter is two-fold. First we show that the Skyrme theory actually has a much richer soliton spectrum. Indeed we show that it is a theory of self-interacting non-Abelian monopoles, and prove that it allows a new type of knotted solitons very similar to the topological knots in the Skyrme-Faddeev theory of nonlinear sigma model [5]. The other purpose is to present a new evidence that the Skyrme theory is indeed very closely related to QCD. In fact, by reparametrizing the gauge potential, we derive a generalized Skyrme action from the Yang-Mills action of QCD which we propose to be an effective theory of QCD in the low energy limit. The assertion that the Skyrme theory could be derived from QCD is perhaps not suprising. But the fact that the Skyrme theory has a new type of solitons is really unexpected, which put the Skyrme theory in a completely new perspective.Let us start from the Skyrme theory. Withthe Skyrme Lagrangian is expressed asThe equation of motion is given byWith the spherically symmetric ansatz(3) is reduced toImposing the boundary condition ξ(0) = 2π and ξ(∞) = 0, one has the well-known skyrmions. The reason for the solitions, of course, is the non-trivial homopopy π 3 (S 3 ) defined by (1) [1,2]. Now, we show that (3) actually allows a new type of knot solitons. To see this notice that with(3) is reduced to the following equation forn1

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confidence: 78%

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confidence: 85%

mentioning

confidence: 99%

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Monopoles and Knots in Skyrme Theory

Cho

2001

Phys. Rev. Lett.

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“…The magnetic condensation H can be given by the one-loop effective potential calculation [22] √ H = Λ exp(− 6π 2 11g 2 s + 1 2 ) , where Λ is the QCD cutoff (≃ 0.3 ∼ 0.5GeV ). The further calculations and the comparison with the lattice prediction M 0 ++ = 1.61 ± 0.15GeV [23] as well as holographic prediction 1.3GeV (for Λ = 0.26GeV ) for the mass of glueball 0 ++ will be presented in the forthcoming paper.…”

Section: The Gluon Energy In V B Is Given By Ementioning

confidence: 99%

Abelian-Higgs phase of SU (2) QCD and glueball energy

Jia

2008

Chinese Phys. C

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“…Gauge invariance was ensured by using the Cho-Faddeev-Niemi-Shabanov decomposition [5][6][7][8] to identify the internal Abelian directions, which also identifies the monopole degrees of freedom unambiguously [9]. It is therefore highly suitable for studies of the monopole condensate [10][11][12][13][14][15] and Abelian dominance [26].…”

Section: Introductionmentioning

confidence: 99%

Emergent Dynamics of Five-Colour QCD Due to Dimensional Frustration

Walker

2010

Symmetry

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Abstract:The consequences for five-colour QCD of a novel symmetry-breaking mechanism, published in an earlier paper, are further explored. In addition to the emergence of QED and three-colour QCD, there is also a candidate for the Z 0 µ . The representation theory of SU (N ) is applied to the matter sector and yields the quark and electron charge ratios, and a mechanism for generating fermion particle masses.

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Monopole condensation inSU(2)QCD

Cited by 57 publications

References 63 publications

Monopoles and Knots in Skyrme Theory

Monopoles and Knots in Skyrme Theory

Abelian-Higgs phase of SU (2) QCD and glueball energy

Emergent Dynamics of Five-Colour QCD Due to Dimensional Frustration

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