Anatomy of the lattice magnetic monopoles

Bornyakov, V. G.; Chernodub, M. N.; Gubarev, F. V.; Polikarpov, M.I.; Suzuki, Tsuneo; Veselov, A.I.; Захаров, В. И.

doi:10.1016/s0370-2693(02)01935-4

Cited by 57 publications

(72 citation statements)

References 27 publications

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“…Below we present the recent results [41] of numerical calculations in lattice SU(2) gauge theory which confirm the above discussion (see that paper for details). In Fig.…”

Section: Anatomy Of Su (2) Monopolesupporting

confidence: 82%

Monopoles and Confining Strings in QCD

Chernodub

Gubarev

Polikarpov

et al. 2001

Topology of Strongly Correlated Systems

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We review the recent results in the physics of the magnetic monopoles in gluodynamics and a dual formulation of non-Abelian theories, relevant to the physics of the confinement. It occurs that the dual gluon is a U(1) gauge boson, despite of the fact that usual gluons are non-Abelian. The effective infrared Lagrangian for gluodynamics is suggested which leads to the Casimir scaling of the string tension for quarks in various representations. We also show that the results of the calculations in lattice gauge theories confirm our theoretical predictions.

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“…Below we present the recent results [41] of numerical calculations in lattice SU(2) gauge theory which confirm the above discussion (see that paper for details). In Fig.…”

Section: Anatomy Of Su (2) Monopolesupporting

confidence: 82%

Monopoles and Confining Strings in QCD

Chernodub

Gubarev

Polikarpov

et al. 2001

Topology of Strongly Correlated Systems

Self Cite

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“…Polikarpov V. G. Bornyakov participation, for example, the paper on anatomy of Abelian monopoles appeared [14]. In this paper the Abelian and non-Abelian action densities near the monopole in the maximal Abelian gauge of SU(2) lattice gauge theory were studied.…”

Section: Pos(lattice 2013)044mentioning

confidence: 99%

In memory of Mikhail Igorevich Polikarpov

Bornyakov¹

2014

Proceedings of 31st International Symposium on Lattice Field Theory LATTICE 2013 — PoS(LATTICE 2013)

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“…[13]. The solutions (14)(15)(16)22) can be linked to the fermion zero modes in the Georgi-Glashow model coupled to the fermions 2 . This model has been considered by Jackiw and Rebbi [8] who found the static fermion zero mode in the background of the 't Hooft-Polyakov monopole:…”

Section: B Zero-mode Solutionsmentioning

confidence: 99%

Fermionic signature of the lattice monopoles

Chernodub

Захаров

2002

Phys. Rev. D

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We consider fermions in the field of static monopole-like configurations in the Euclidean spacetime. In all the cases considered there exists an infinite number of zero modes, labeled by frequency iω. The existence of such modes is a manifestation of instability of the vacuum in the presence of the monopoles and massless fermions. In the Minkowski space the corresponding phenomenon is well known and is a cornerstone of the theory of the magnetic catalysis. Moreover, the well known zero mode of Jackiw and Rebbi corresponds to the limiting case, ω = 0. We provide arguments why the chiral condensate could be linked to the density of the monopoles in the infrared cluster. A mechanism which can naturally explain the equivalence of the critical temperatures for the deconfinement and chiral transitions, is proposed. We discuss possible implications for the phenomenology of the lattice monopoles.

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Anatomy of the lattice magnetic monopoles

Cited by 57 publications

References 27 publications

Monopoles and Confining Strings in QCD

Monopoles and Confining Strings in QCD

In memory of Mikhail Igorevich Polikarpov

Fermionic signature of the lattice monopoles

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