Strings, monopoles, and gauge fields

Nambu, Yôichirô

doi:10.1103/physrevd.10.4262

Cited by 973 publications

(1,205 citation statements)

References 6 publications

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“…and that subleading corrections are captured rather well by a simple bosonic Nambu-Gotō string model [119]. The latter model assumes that the flux tube can be described as an infinitesimally thin, fluctuating string, with an action proportional to the surface of the world-sheet it spans during its time evolution.…”

Section: Lattice Results For Large-n Gauge Theories In (3 + 1) Spacetmentioning

confidence: 99%

Introductory lectures to large- QCD phenomenology and lattice results

Lucini

Panero

2014

Progress in Particle and Nuclear Physics

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Section: Lattice Results For Large-n Gauge Theories In (3 + 1) Spacetmentioning

confidence: 99%

Introductory lectures to large- QCD phenomenology and lattice results

Lucini

Panero

2014

Progress in Particle and Nuclear Physics

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“…The magnetic monopole is the indispensable ingredients for the dual superconductivity scenario [3] for quark confinement. The idea of Abelian projection due to 't Hooft [4] is that the partial gauge fixing can extract the physical degrees of freedom relevant in the long-distance of QCD.…”

Section: Introductionmentioning

confidence: 99%

Lattice construction of Cho–Faddeev–Niemi decomposition and gauge-invariant monopole

Kato¹,

Kondo²,

Murakami³

et al. 2006

Physics Letters B

106

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We present the first implementation of the Cho-Faddeev-Niemi decomposition of the SU(2) Yang-Mills field on a lattice. Our construction retains the color symmetry (global SU(2) gauge invariance) even after a new type of Maximally Abelian gauge, as explicitly demonstrated by numerical simulations. Moreover, we propose a gauge-invariant definition of the magnetic monopole current using this formulation and compare the new definition with the conventional one by DeGrand and Toussaint to exhibit its validity.

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“…The dual superconductivity picture A particularly appealing proposal to explain confinement in the low energy regime was made in [9][10][11]. Let us give a simple idea of the picture.…”

Section: Introductionmentioning

confidence: 99%

The infrared behavior of the gluon and ghost propagators in SU(2) Yang-Mills theory in the maximal abelian gauge

Capri¹,

Dudal²,

Gracey³

et al. 2007

Braz. J. Phys.

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We report on some recent analytical results on the behaviour of the gluon and ghost propagators in Euclidean SU(2) Yang-Mills theory quantized in the maximal Abelian gauge (MAG). This gauge is of particular interest for the dual superconductivity picture to explain color confinement. Two kinds of effects are taken into account: those arising from a treatment of Gribov copies in the MAG and those arising from a dynamical mass originating in a dimension two gluon condensate. The diagonal component of the gluon propagator displays the typical Gribov-type behaviour, while the off-diagonal component is of the Yukawa type due to the dynamical mass. These results are in qualitative agreement with available lattice data on the gluon propagators. The off-diagonal ghost propagator exhibits an infrared enhancement due to the Gribov restriction, while the diagonal one remains unaffected.

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Strings, monopoles, and gauge fields

Cited by 973 publications

References 6 publications

Introductory lectures to large- QCD phenomenology and lattice results

Introductory lectures to large- QCD phenomenology and lattice results

Lattice construction of Cho–Faddeev–Niemi decomposition and gauge-invariant monopole

The infrared behavior of the gluon and ghost propagators in SU(2) Yang-Mills theory in the maximal abelian gauge

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