Dual approaches for defects condensation

Grigorio, L. S.; Guimaraes, M. S.; Rougemont, Romulo; Wotzasek, C.

doi:10.1016/j.physletb.2010.05.044

Cited by 21 publications

(93 citation statements)

References 20 publications

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“…Therefore, the general Ansatz for F that satisfies the in-falling wave condition at the horizon is 33) with P (u, ω) being regular at the horizon. By substituting (2.30) and (2.33) into (2.27), one finds the boundary condition for Π at the horizon…”

Section: Jhep07(2015)070mentioning

confidence: 99%

“…Thus, the condensation of topological defects constitutes a mass gap generation mechanism whose general signature is the so-called "rank jump phenomenon": a massless Abelian p-form describing the system in the phase with diluted defects gives place to a new effective massive (p + 1)-form describing the system in the condensed phase. Quevedo and Trugenberger refer to this as the "Julia-Toulouse mechanism" (JTM) and, more recently, some of us generalized the JTM in various aspects and applied it to many different physical systems [31][32][33][34][35][36][37][38][39][40][41].…”

Section: Jhep07(2015)070mentioning

confidence: 99%

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Vanishing DC holographic conductivity from a magnetic monopole condensate

Rougemont

Noronha

Zarro

et al. 2015

J. High Energ. Phys.

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We show how to obtain a vanishing DC conductivity in 3-dimensional strongly coupled QFT's using a massive 2-form field in the bulk that satisfies a special kind of boundary condition. The real and imaginary parts of the AC conductivity are evaluated in this holographic setup and we show that the DC conductivity identically vanishes even for an arbitrarily small (though nonzero) value of the 2-form mass in the bulk. We identify the bulk action of the massive 2-form with an effective theory describing a phase in which magnetic monopoles have condensed in the bulk. Our results indicate that a condensate of magnetic monopoles in a 4-dimensional bulk leads to a vanishing DC holographic conductivity in 3-dimensional strongly coupled QFT's.

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Section: Jhep07(2015)070mentioning

confidence: 99%

Section: Jhep07(2015)070mentioning

confidence: 99%

Vanishing DC holographic conductivity from a magnetic monopole condensate

Rougemont

Noronha

Zarro

et al. 2015

J. High Energ. Phys.

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“…It is important to mention that the same physics just discussed could be equivalently approached in the dual picture, in terms of the massless gauge potential a µ appearing in (5), instead of its electromagnetic dual, the massless scalar field ϕ featured in (4) [3,9]. The magnetic instantons would couple non-minimally to the a µ field and their condensation would imply in the rank-jump phenomenon, with the confinement of electric charges being described in terms of a massive Kalb-Ramond field, the electromagnetic dual in (2 + 1)-dimensions of the massive scalar field featured in (12) and (13).…”

Section: Dual Josephson Junction In the Absence Of Fermions And Wmentioning

confidence: 99%

“…The magnetic instantons would couple non-minimally to the a µ field and their condensation would imply in the rank-jump phenomenon, with the confinement of electric charges being described in terms of a massive Kalb-Ramond field, the electromagnetic dual in (2 + 1)-dimensions of the massive scalar field featured in (12) and (13). For the interested reader, we refer the section IV of reference [9], where these issues are discussed in details.…”

Section: Dual Josephson Junction In the Absence Of Fermions And Wmentioning

confidence: 99%

“…In [9,16] we unified and extended both prescriptions into a generalized formalism, whose main feature, in the condensed phase, consists in a careful treatment of a local symmetry which we call as the Dirac brane symmetry, which is independent of the usual gauge symmetry [15] and corresponds to the freedom of deforming Dirac strings [17] without any observable consequences. We call this generalized prescription as the generalized Julia-Toulouse approach (GJTA) [9,16].…”

Section: Introductionmentioning

confidence: 99%

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Chern-Simons term in a dual Josephson junction

et al. 2013

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A dual Josephson junction corresponding to a (2 + 1)-dimensional non-superconducting layer sandwiched between two (3 + 1)-dimensional dual superconducting regions constitutes a model of localization of a U (1) gauge field within the layer. Monopole tunneling currents flow from one dual superconducting region to another due to a phase difference between the wave functions of the monopole condensate below and above the non-superconducting layer when there is an electromagnetic field within the layer. These magnetic currents appear within the (2 + 1)-dimensional layer as a gas of magnetic instanton events and a weak electric charge confinement is expected to take place at very long distances within the layer. In the present work, we consider what happens when one introduces fermions in this physical scenario. Due to the dual Meissner effect featured in the dual superconducting bulk, it is argued that unconfined fermions would be localized within the (2 + 1)-dimensional layer, where their quantum fluctuations radiatively induce a Chern-Simons term, which is known to destroy the electric charge confinement and to promote the confinement of the magnetic instantons.

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Confinement, brane symmetry and the Julia-Toulouse approach for condensation of defects

Grigorio

Guimaraes

Rougemont

et al. 2011

J. High Energ. Phys.

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In this work the phenomenon of charge confinement is approached in various contexts. An universal criterion for the identification of this phenomenon in Abelian gauge theories is suggested: the so-called spontaneous breaking of the brane symmetry. This local symmetry has its most common manifestation in the Dirac string ambiguity present in the electromagnetic theory with monopoles. The spontaneous breaking of the brane symmetry means that the Dirac string becomes part of a brane invariant observable which hides the realization of such a symmetry and develops energy content in the confinement regime. The establishment of this regime can be reached through the condensation of topological defects. The effective theory of the confinement regime can be obtained with the Julia-Toulouse prescription which (originally introduced as the dual mechanism to the Abelian Higgs Mechanism) is generalized in this paper in order to become fully compatible with Elitzur's theorem and describe more general condensates which may break Lorentz and discrete spacetime symmetries. This generalized approach for the condensation of defects is presented here through a series of different applications.

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Dual approaches for defects condensation

Cited by 21 publications

References 20 publications

Vanishing DC holographic conductivity from a magnetic monopole condensate

Vanishing DC holographic conductivity from a magnetic monopole condensate

Chern-Simons term in a dual Josephson junction

Confinement, brane symmetry and the Julia-Toulouse approach for condensation of defects

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