Generalized Dual Symmetry of Nonabelian Theories, Monopoles and Dyons

Das, C. R.; Лаперашвили, Л. В.; Nielsen, H. B.

doi:10.1142/9789812772657_0063

Cited by 3 publications

(3 citation statements)

References 57 publications

(98 reference statements)

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“…This is at odds with the modern understanding of renormalization as a continuous evolution of parameters, such as the charge, with change of energy scale. It would seem that this view of the renormalization group may be difficult to maintain without a perturbative framework: That is, at any energy scale Q, we might expect e(Q)g(Q) = n. (6.4) For this reason Laperashvili and Nielsen [125,126,127,128,129], following Zwanziger [80,82] argue that (6.4) holds at all scales, or in terms of the bare and renormalized quantization numbers, n = n 0 . That is, the electric and magnetic charges are renormalized by exactly inverse factors.…”

Section: Renormalizationmentioning

confidence: 99%

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Theoretical and experimental status of magnetic monopoles

2006

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The Tevatron has inspired new interest in the subject of magnetic monopoles. First there was the 1998 D0 limit on the virtual production of monopoles, based on the theory of Ginzburg and collaborators. In 2000 and 2004 results from an experiment (Fermilab E882) searching for real magnetically charged particles bound to elements from the CDF and D0 detectors were reported. The strongest direct experimental limits, from the CDF collaboration, have been reported in 2005. Less strong, but complementary, limits from the H1 collaboration at HERA were reported in the same year. Interpretation of these experiments also require new developments in theory. Earlier experimental and observational constraints on point-like (Dirac) and non-Abelian monopoles were given from the 1970s through the 1990s, with occasional short-lived positive evidence for such exotic particles reported. The status of the experimental limits on monopole masses will be reported, as well as the limitation of the theory of magnetic charge at present. Angular momentumJ. J. Thomson observed in 1904 [4, 5, 30, 31] the remarkable fact that a static system of an electric (e) and a magnetic (g) charge separated by a distance R possesses an angular momentum, see figure 1. The angular momentum is obtained by integrating the moment of the momentum density of the static fields:

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Section: Renormalizationmentioning

confidence: 99%

“…For this reason Laperashvili and co-workers [126][127][128][129][130], following Zwanziger [80,82], argue that (6.4) holds at all scales or in terms of the bare and renormalized quantization numbers, n = n 0 . That is, the electric and magnetic charges are renormalized by exactly inverse factors.…”

Section: Renormalizationmentioning

confidence: 99%

Theoretical and experimental status of magnetic monopoles

2006

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“…As it was shown in Refs. [1,2,[4][5][6][7], dyons play an essential role in physics of nonabelian theories (in particular, in QCD).…”

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confidence: 99%

Phase Transition in the Higgs Model of Scalar Dyons

Das

Лаперашвили

2006

Mod. Phys. Lett. A

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In the present paper we investigate the phase transition "Coulomb-confinement" in the Higgs model of abelian scalar dyons -particles having both, electric e and magnetic g, charges. It is shown that by dual symmetry this theory is equivalent to scalar fields with the effective squared electric charge e * 2 = e 2 + g 2 . But the Dirac relation distinguishes the electric and magnetic charges of dyons. The following phase transition couplings are obtained in the one-loop approximation: α crit = e 2 crit /4π ≈ 0.19,α crit = g 2 crit /4π ≈ 1.29 and α *

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Non-Abelian confinement near nontrivial conformal vacua

2006

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We discuss some aspects of confinement and dynamical symmetry breaking in the so-called non-Abelian Argyres-Douglas vacua, which occur very generally in supersymmetric theories. These systems are characterized by strongly-coupled non-Abelian monopoles and dyons; confinement and dynamical symmetry breaking are caused by the condensation of monopole composites, rather than by condensation of single weakly-coupled monopoles. In general, there are strong constraints on which kind of monopoles can appear as the infrared degrees of freedom, related to the proper realization of the global symmetry of the theory. Drawing analogies to some of the phenomena found here, we make a speculation on the ground state of the standard QCD. (c) 2006 Elsevier B. V. All rights reserved

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Generalized Dual Symmetry of Nonabelian Theories, Monopoles and Dyons

Cited by 3 publications

References 57 publications

Theoretical and experimental status of magnetic monopoles

Theoretical and experimental status of magnetic monopoles

Phase Transition in the Higgs Model of Scalar Dyons

Non-Abelian confinement near nontrivial conformal vacua

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