Vortices, Confinement and Higgs Fields

Bertle, Roman; Faber, M.

doi:10.1142/9789812704269_0001

Cited by 14 publications

(14 citation statements)

References 31 publications

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“…The vortex model of confinement has been buttressed by a multitude of studies, in lattice Yang-Mills theory, see e.g. [7][8][9][10][11][12][13][14][15], within the infrared effective model of center vortices under investigation here [16][17][18][19][20][21][22][23][24] and another infrared model of random vortex lines in continuous 3D space-time [25,26] and also by theoretical effective model calculations, e.g. [27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Confining bond rearrangement in the random center vortex model

2016

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We present static meson-meson and baryon-anti-baryon potentials in Z(2) and Z(3) random center vortex models for the infrared sector of Yang-Mills theory, i.e., hypercubic lattice models of random vortex world-surfaces. In particular, we calculate multiple Polyakov loop correlators corresponding to static meson-meson resp. baryon-anti-baryon configurations in a center vortex background and observe that their expectation values follow the minimal area law, displaying bond rearrangement behavior, a characteristic expected for the confining dynamics of the strong interaction. The static meson-meson and baryon-anti-baryon potentials are compared with theoretical predictions and lattice QCD simulations.

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Section: Introductionmentioning

confidence: 99%

Confining bond rearrangement in the random center vortex model

2016

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“…While the concept of a Kertész line was originally introduced in the context of lattice gauge theories in Ref. [16], the interpretation of a deconfinement transition as driven by percolating vortices was previously put forward in the context of the SU(2) lattice Higgs model [17][18][19], and the pure SU(2) lattice gauge theory [20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Percolation of vortices in the 3D Abelian lattice Higgs model

et al. 2008

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The compact Abelian Higgs model is simulated on a cubic lattice where it possesses vortex lines and pointlike magnetic monopoles as topological defects. The focus of this high-precision Monte Carlo study is on the vortex network, which is investigated by means of percolation observables. In the region of the phase diagram where the Higgs and confinement phases are separated by a first-order transition, it is shown that the vortices percolate right at the phase boundary, and that the first-order nature of the transition is reflected by the network. In the crossover region, where the phase boundary ceases to be first order, the vortices are shown to still percolate. In contrast to other observables, the percolation observables show finite-size scaling. The exponents characterizing the critical behavior of the vortices in this region are shown to fall in the random percolation universality class.

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“…This theoretically appealing picture has been buttressed by a multitude of numerical calculations, both in lattice Yang-Mills theory and within a corresponding infrared effective model, see e.g. [7][8][9][10][11][12][13][14][15][16][17][18], or [19], which summarizes the main features. Recent results [20] have also suggested that the center vortex model of confinement is more consistent with lattice results than other currently available models.…”

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confidence: 99%

Model of random center vortex lines in continuous 2+1 -dimensional spacetime

2016

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A picture of confinement in QCD based on a condensate of thick vortices with fluxes in the center of the gauge group (center vortices) is studied. Previous concrete model realizations of this picture utilized a hypercubic space-time scaffolding, which, together with many advantages, also has some disadvantages, e.g., in the treatment of vortex topological charge. In the present work, we explore a center vortex model which does not rely on such a scaffolding. Vortices are represented by closed random lines in continuous 2+1-dimensional space-time. These random lines are modeled as being piece-wise linear, and an ensemble is generated by Monte Carlo methods. The physical space in which the vortex lines are defined is a torus with periodic boundary conditions. Besides moving, growing and shrinking of the vortex configurations, also reconnections are allowed. Our ensemble therefore contains not a fixed, but a variable number of closed vortex lines. This is expected to be important for realizing the deconfining phase transition. We study both vortex percolation and the potential V (R) between quark and anti-quark as a function of distance R at different vortex densities, vortex segment lengths, reconnection conditions and at different temperatures. We find three deconfinement phase transitions, as a function of density, as a function of vortex segment length, and as a function of temperature.

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Vortices, Confinement and Higgs Fields

Abstract: We review lattice evidence for the vortex mechanism of quark confinement and study the influence of charged matter fields on the vortex distribution.

Cited by 14 publications

References 31 publications

Confining bond rearrangement in the random center vortex model

Confining bond rearrangement in the random center vortex model

Percolation of vortices in the 3D Abelian lattice Higgs model

Model of random center vortex lines in continuous 2+1 -dimensional spacetime

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