Chromoelectric flux tubes and coherence length in QCD

Cea, Paolo; Cosmai, Leonardo; Papa, Alessandro

doi:10.1103/physrevd.86.054501

Cited by 75 publications

(97 citation statements)

References 54 publications

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“…[195]. Our results show that the dual superconductor for the SU(2) lattice Yang-Mills theory is the weak type I, rather than the border between type-I and type-II.…”

Section: Ginzburg-landau Parameter and Type Of Dual Superconductormentioning

confidence: 73%

“…Therefore, such a simple form cannot be used to detect the type I dual superconductor. However, this important aspect was ignored in the preceding studies except for a work [200].…”

Section: Type Of Dual Superconductivitymentioning

confidence: 99%

“…As the third step, we show that tr{nF µν [V ]} is decomposed as (6.193) In fact, the field strength F µν [V ] is written in terms of B and C as 194) and hence 60 195) where we have used the property of B µ and C µ : [n, C µ ] = 0 and D µ [B]n = 0 following from (6.184).…”

Section: Restricted Variable In the Wilson Loop Operatormentioning

confidence: 99%

“…Our results are to be compared with the preceding works. First, Cea, Cosmai and Papa [195] have used the same operator and the same fitting function (9.128) as ours. In the calculation of the operator, however, they used the cooling method, while we have used HYP.…”

Section: Ginzburg-landau Parameter and Type Of Dual Superconductormentioning

confidence: 99%

“…To avoid this, we follow the method given by Clem [196] invented for the ordinary superconductor based on the GL theory, which was recently applied to the dual superconductor for SU(3) lattice Yang-Mills theory by [195,33]. The advantage of this method is that it is able to take into account the whole range of y for fitting the data to determine precisely the type of (dual) superconductivity, in sharp contrast to the preceding approach which uses only the asymptotic region at large y ≫ 1.…”

Section: Ginzburg-landau Parameter and Type Of Dual Superconductormentioning

confidence: 99%

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Quark confinement: Dual superconductor picture based on a non-Abelian Stokes theorem and reformulations of Yang–Mills theory

et al. 2015

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The purpose of this paper is to review the recent progress in understanding quark confinement. The emphasis of this review is placed on how to obtain a manifestly gauge-independent picture for quark confinement supporting the dual superconductivity in the Yang-Mills theory, which should be compared with the Abelian projection proposed by 't Hooft. The basic tools are novel reformulations of the YangMills theory based on change of variables extending the decomposition of the SU(N) Yang-Mills field due to Cho, Duan-Ge and Faddeev-Niemi, together with the combined use of extended versions of the Diakonov-Petrov version of the non-Abelian Stokes theorem for the SU(N) Wilson loop operator.Moreover, we give the lattice gauge theoretical versions of the reformulation of the Yang-Mills theory which enables us to perform the numerical simulations on the lattice. In fact, we present some numerical evidences for supporting the dual superconductivity for quark confinement. The numerical simulations include the derivation of the linear potential for static interquark potential, i.e., non-vanishing string tension, in which the "Abelian" dominance and magnetic monopole dominance are established, confirmation of the dual Meissner effect by measuring the chromoelectric flux tube between quark-antiquark pair, the induced magnetic-monopole current, and the type of dual superconductivity, etc. In addition, we give a direct connection between the topological configuration of the Yang-Mills field such as instantons/merons and the magnetic monopole.We show especially that magnetic monopoles in the Yang-Mills theory can be constructed in a manifestly gauge-invariant way starting from the gauge-invariant Wilson loop operator and thereby the contribution from the magnetic monopoles can be extracted from the Wilson loop in a gauge-invariant way through the non-Abelian Stokes theorem for the Wilson loop operator, which is a prerequisite for exhibiting magnetic monopole dominance for quark confinement. The Wilson loop average is calculated according to the new reformulation written in terms of new field variables obtained from the original Yang-Mills field based on change of variables. The Maximally Abelian gauge in the original Yang-Mills theory is also reproduced by taking a specific gauge fixing in the reformulated Yang-Mills theory. This observation justifies the preceding results obtained in the maximal Abelian gauge at least for gaugeinvariant quantities for SU(2) gauge group, which eliminates the criticism of gauge artifact raised for the Abelian projection. The claim has been confirmed based on the numerical simulations.However, for SU(N) (N ≥ 3), such a gauge-invariant reformulation is not unique, although the extension along the line proposed by Cho, Faddeev and Niemi is possible. In fact, we have found that there are a number of possible options of the reformulations, which are discriminated by the maximal stability 1 groupH of G, while there is a unique option ofH = U(1) for G = SU(2). The maximal stability group depends...

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“…[195]. Our results show that the dual superconductor for the SU(2) lattice Yang-Mills theory is the weak type I, rather than the border between type-I and type-II.…”

Section: Ginzburg-landau Parameter and Type Of Dual Superconductormentioning

confidence: 73%

“…Therefore, such a simple form cannot be used to detect the type I dual superconductor. However, this important aspect was ignored in the preceding studies except for a work [200].…”

Section: Type Of Dual Superconductivitymentioning

confidence: 99%