Classical string solutions in effective infrared theory of SU(3) gluodynamics

Chernodub, M. N.

doi:10.1016/s0370-2693(00)00009-5

Cited by 12 publications

(13 citation statements)

References 23 publications

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“…An adaptation of the Landau-Ginzburg model to color SU (3), which respects Weyl symmetry, was proposed in the 1989 paper of Maedan and Suzuki [10]. It was further developed in the 1993 paper of Kamizawa, Matsubara, Shiba and Suzuki [106] and the 1999 papers of Chernodub and Komarov [107,108]. We shall first present the model in the absence of quark charges.…”

Section: Chaptermentioning

confidence: 99%

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Dual Superconductor Models of Color Confinement

Ripka

2004

Lecture Notes in Physics

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Section: Chaptermentioning

confidence: 99%

“…Variants to the form (5.6) have been proposed and studied. For example, in reference [108], the last term is replaced by − 1 2…”

Section: The Model Action and Its Abelian Gauge Invariancementioning

confidence: 99%

Dual Superconductor Models of Color Confinement

Ripka

2004

Lecture Notes in Physics

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“…Expressing the auxiliary fields H (i) in terms of the components the EM field, H 3,8 , and using Eqs. (15,16) we get the phase diagram depicted in Figure 1. The phase diagram contains confinement (C), deconfinement (D) and the asymmetric confinement phases (A).…”

Section: Now Let Us Consider the Lagrangian Of [U(1)] 2 Higgs Model Cmentioning

confidence: 99%

Gluodynamics in external field in dual superconductor approach

Chernodub

2002

Physics Letters B

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We show that gluodynamics in an external Abelian electromagnetic field should possess a deconfining phase transition at zero temperature. Our analytical estimation of the critical external field is based on the dual superconductor picture which is formulated in the Euclidean space suitable for lattice calculations. A dual superconductor model corresponding to the SU (2) gluodynamics possesses confinement and deconfinement phases below and, respectively, above the critical field. A dual superconductor model for the SU (3) gauge theory predicts a rich phase structure containing confinement, asymmetric confinement and deconfinement phases. The quark bound states in these phases are analyzed. Inside the baryon the strings are Y -shaped as predicted by the dual superconductor picture. This shape is geometrically asymmetric in the asymmetric confinement phases.1. At present there are two popular approaches to the problem of color confinement in gluodynamics. They are based on the Abelian monopole [1] and on the center vortex [2] pictures of the gluodynamics vacuum. In this paper we discuss the Abelian monopole approach which suggests that confining degrees of freedom of the vacuum in an Abelian projection [3] can be described as a dual superconductor. The key element of this picture is the monopole condensate which squeezes a chromoelectric flux to a confining string due to the Meissner effect. The string is an analog of the Abrikosov vortex [4] in an ordinary superconductor while the Abelian monopoles are playing the role of the Cooper pairs. This picture has been confirmed in many numerical simulations on the lattice (for a review see, e.g., Ref. [5]).Here we investigate the properties of the SU(2) and SU(3) gluodynamics in the external electromagnetic field using the dual superconductor approach. Our study is motivated by the fact that the response of the vacuum of a gauge theory on external fields may provide interesting information about the vacuum structure. The external fields were used to study nonperturbative properties of QCD [6], the baryogenesis in the electroweak theory [7], features of various topological defects in three dimensional models [8], etc.A common feature of known superconductors is the Meissner effect: the superconductors expel relatively weak external magnetic flux from their interior. Strong enough magnetic field, H ext H cr destroys the superconductivity and the superconductor goes in the normal (metal) state. In this paper we estimate analytically the critical electromagnetic fields which break the dual superconductivity in the SU(2) and SU(3) gluodynamics. Consequently, the confinement is (partially, in the case of SU(3)) lost at these critical fields.

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“…As explained in U(1) DGL theory, κ = 1 is the case of special interest, the Bogomol'nyi limit [26,27].…”

Section: The [U(1)] 2 Dgl Theorymentioning

confidence: 99%

Weyl symmetric representation of hadronic flux tubes in the dual Ginzburg-Landau theory

et al. 2001

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Hadronic flux-tube solutions describing the mesonic and the baryonic states within the dual Ginzburg-Landau (DGL) theory are investigated by using the dual lattice formulation in the Weyl-symmetric approach.The shape of the flux tubes is determined by placement of the colorelectric Dirac-string singularity treated as a connected stack of quantized plaquettes in the dual lattice formulation. The Weyl symmetric profiles of the hadronic flux tubes are obtained by using the manifestly Weyl invariant representation of the dual gauge field.

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Classical string solutions in effective infrared theory of SU(3) gluodynamics

Cited by 12 publications

References 23 publications

Dual Superconductor Models of Color Confinement

Dual Superconductor Models of Color Confinement

Gluodynamics in external field in dual superconductor approach

Weyl symmetric representation of hadronic flux tubes in the dual Ginzburg-Landau theory

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