Colour confinement as dual Meissner effect: SU(2) gauge theory

Debbio, Luigi Del; Giacomo, A. Di; Paffuti, Giampiero; Pieri, P.

doi:10.1016/0370-2693(95)00702-m

Cited by 88 publications

(134 citation statements)

References 9 publications

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“…The vortex creation operator µ is constructed by the same technique used for the monopole creation operator in previous works [13,14]. The vacuum expectation value of µ is defined as the ratio of two partition functions:…”

Section: Vortex Creation Operatormentioning

confidence: 99%

“…Starting from this point of view, in this paper we study the role of vortices across the deconfinement phase transition, using the techniques developed in Refs. [13,14,12] for investigating the condensation of monopoles defined via the abelian projection.…”

Section: Introductionmentioning

confidence: 99%

“…When applied to a gauge configuration, µ creates a vortex associated to a string closing in the z direction via periodic boundary conditions (PBC). As well as for other systems, both in statistical mechanics [10,15,16] and in quantum field theory [17,13,14,12], such an operator can be constructed without any reference to the dual theory. In Sect.…”

Section: Introductionmentioning

confidence: 99%

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Vortices, monopoles and confinement

Debbio¹,

Giacomo²,

Lucini³

2001

Nuclear Physics B

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We construct the creation operator of a vortex using the methods developed for monopoles. The vacuum expectation value of this operator is interpreted as a disorder parameter describing vortex condensation and is studied numerically on a lattice in SU (2) gauge theory. The result is that vortices behave in the vacuum in a similar way to monopoles. The disorder parameter is different from zero in the confined phase, and vanishes at the deconfining phase transition. We discuss this behaviour in terms of symmetry. Correlation functions of the vortex creation operator at zero temperature are also investigated. A comparison is made with related results by other groups.

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Section: Vortex Creation Operatormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Vortices, monopoles and confinement

Debbio¹,

Giacomo²,

Lucini³

2001

Nuclear Physics B

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“…The SU͑2͒ string tension is well described by the contribution of the Abelian monopole currents [2-4] which satisfy the London equation for a superconductor [5]. The study of monopole creation operators shows that the Abelian monopoles are condensed [6][7][8] in the confinement phase of gluodynamics.On the other hand, the Abelian monopoles arise in the continuum theory [9] from the singular gauge transformation, and it is not clear whether these monopoles are "real" objects. A physical object is something which carriers action, and in the present publication we only study the question of if there are any correlations between Abelian monopole currents and SU͑2͒ action.…”

mentioning

confidence: 99%

Abelian Monopoles inSU(2)Lattice Gauge Theory as Physical Objects

1998

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By numerical calculations we show that the Abelian monopole currents are locally correlated with the density of the SU͑2͒ lattice action. This fact is established for the maximal Abelian projection. Thus, in the maximal Abelian projection, the monopoles are physical objects; they carry the SU͑2͒ action. Calculations on the asymmetric lattice show that the correlation between monopole currents and the density of the SU͑2͒ lattice action also exists in the deconfinement phase of gluodynamics. [S0031-9007(97) The monopoles in the maximal Abelian projection (MaA projection) of SU͑2͒ lattice gluodynamics [1] seem to be responsible for the formation of the flux tube between the test quark-antiquark pair. The SU͑2͒ string tension is well described by the contribution of the Abelian monopole currents [2-4] which satisfy the London equation for a superconductor [5]. The study of monopole creation operators shows that the Abelian monopoles are condensed [6][7][8] in the confinement phase of gluodynamics.On the other hand, the Abelian monopoles arise in the continuum theory [9] from the singular gauge transformation, and it is not clear whether these monopoles are "real" objects. A physical object is something which carriers action, and in the present publication we only study the question of if there are any correlations between Abelian monopole currents and SU͑2͒ action. In Ref.[10] it has found that the total action of SU͑2͒ fields is correlated with the total length of the monopole currents, so there exists a global correlation. Below, we discuss the local correlations between the action density and the monopole currents.Correlators of monopole currents and density of SU͑2͒ action-The simplest quantity which reflects the correlation of the local action density and the monopole current is the relative excess of SU͑2͒ action density in the region near the monopole current. It can be defined as follows. Consider the average action S m on the plaquettes closest to the monopole current j m ͑x͒. Then the relative excess of the action iswhere S is the standard expectation value of the lattice section, S ͗͑1 2 1 2 Tr U P ͒͘. S m is defined as follows:

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“…I will present the first results of a systematic exploration of monopole condensation below and above the deconfining transition in different abelian projections 33,32 .…”

Section: Dual Superconductivity In Qcdmentioning

confidence: 99%

The Dual Superconductor Picture for Confinement

Giacomo¹

NATO Science Series: B:

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Colour confinement as dual Meissner effect: SU(2) gauge theory

Cited by 88 publications

References 9 publications

Vortices, monopoles and confinement

Vortices, monopoles and confinement

Abelian Monopoles inSU(2)Lattice Gauge Theory as Physical Objects

The Dual Superconductor Picture for Confinement

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