Abstract:Working with well known models in (2+1)D we discuss the physics behind the deformation of the canonical structure of these theories. A new deformation is constructed linking the massless scalar field theory with the self-dual theory. This is the exact dual of the known deformation connecting the Maxwell theory with the Maxwell-Chern-Simons theory. Duality is used to establish a web of relations between the mentioned theories and a physical picture of the deformation procedure is suggested.
“…Using (2.7) and (2.8) one finds 30) which implies that the asymptotic form of (2.18) near the horizon is 31) and the solution satisfying the in-falling wave condition at the horizon is…”
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].…”
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.
“…Using (2.7) and (2.8) one finds 30) which implies that the asymptotic form of (2.18) near the horizon is 31) and the solution satisfying the in-falling wave condition at the horizon is…”
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].…”
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.
“…The important result at this point is the identification of the CS structure of S e , adequate to simulate the fermionic lowest energy effective contribution as seen as a condensate breaking the P and T symmetries. This is essentially the result that some of us reported in [8]. In section 7, we shall see how these concepts allow us to approach the issue of defining the MCS theory in the presence of magnetic defects.…”
Section: Application III -Radiative Corrections In Qed 3 As a Condensmentioning
confidence: 67%
“…• In section 5 we review a previous result derived by some of us [8], this time within the ensemble formulation at the level of the partition function, which shows that quantum fermionic fluctuations can be conveniently interpreted as a condensate. The JTA provides a dual picture for the radiative corrections responsible for the induction of the Chern-Simons term in the low energy effective action of quantum electrodynamics in 3D (QED 3 ).…”
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.
“…The strategy we are going to adopt in the sequel to circumvent this difficult is to make use of the GJTA. In the case without instantons, it was shown in [9,10] that the GJTA can reproduce the effect of the one loop fermion fluctuations, namely, the induction of a CS term, by interpreting this term as arising due to a condensation of classical electric charges that breaks parity and time reversal symmetries. These classical electric charges are represented by electric world-lines instead of fermion fields.…”
Section: Fermions the Induction Of The Chern-simons Term And Mamentioning
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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