Generalized duality between local vector theories in<i>D</i>= 2+1

Dalmazi, D.

doi:10.1088/1126-6708/2006/08/040

Cited by 12 publications

(7 citation statements)

References 22 publications

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“…The mere existence of a master action does not guarantee, at least a priori, the equivalence of the spectrum of the interpolated theories. We give an explicit example of such subtlety at the end of section 2.1 of [14] and in [15,16] the author deeply investigates the issue. In all these cases, by insisting in a spectrum equivalence, a master action can be constructed, but, it will interpolate with a non-local/unitary theory.…”

Section: Discussionmentioning

confidence: 99%

Duality and unitarity of massive spin-3/2 models in $$D=2+1$$

2020

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In this work, we provide a triple master action interpolating among three self-dual descriptions of massive spin-3/2 particles in D = 2 + 1 dimensions. Such result generalizes a master action previously suggested in the literature. We also show that, surprisingly a shorthand notation in terms of differential operators applied in the bosonic cases of spins 2 and 3 can also be defined to the fermionic case. With the help of projection operators, we have also obtained the propagator and analyzed unitarity in D dimensions of a second-order spin-3/2 doublet model. Once we demonstrate that this doublet model is free of ghosts, we provide a master action interpolating such model with a fourth-order theory which has several similarities with the spin-2 linearized New Massive Gravity theory.

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Section: Discussionmentioning

confidence: 99%

Duality and unitarity of massive spin-3/2 models in $$D=2+1$$

2020

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“…For example, in Ref. [21] this issue is discussed in terms of an interpolating master action and how it explains the doubling of fields, yet preserving the number of degrees of freedom.…”

Section: The Mpcs Model Written In Term Of Two Mcs Modelsmentioning

confidence: 99%

Suppressing vacuum fluctuations with vortex excitations

et al. 2015

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The Casimir force for a planar gauge model is studied considering perfect conducting and perfect magnetically permeable boundaries. By using an effective model describing planar vortex excitations, we determine the effect these can have on the Casimir force between parallel lines. Two different mappings between models are considered for the system under study, where generic boundary conditions can be more easily applied and the Casimir force be derived in a more straightforward way. It is shown that vortex excitations can be an efficient suppressor of vacuum fluctuations. In particular, for the model studied here, a planar Chern-Simons type of model that allows for the presence of vortex matter, the Casimir force is found to be independent of the choice of boundary conditions, at least for the more common types, like Neumann, perfect conducting and magnetically permeable boundary conditions. We give an interpretation for these results and some possible applications for them are also discussed.Comment: 20 pages, 1 eps figur

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“…Indeed, since the dual propagator of the gauge field looks like the difference between two propagators, one still faces the question whether the new model is contaminated by ghost modes of propagation of the vector field or not. Alternatives to avoid the emergency of ghosts in the process of dualization were developed [28][29][30][31]. In some approaches, the price to be paid is the lost of locality [28].…”

Section: Introductionmentioning

confidence: 99%

Gauge embedding procedure: classical and quantum equivalence between dual models

et al. 2022

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In this paper the gauge embedding procedure of dualization is reassessed through a deeper analysis of the mutual equivalence of vector field models of more generic forms, explicitly, a general modified massive gauge-breaking extension of electrodynamics and its dual gauge-invariant model we derive in the paper. General relations between the vector field propagators and interaction terms of these models are obtained. Further, these models are shown to be equivalent at tree-level and one-loop physical calculations. Finally, we discuss extension of this equivalence to all loop orders.

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Generalized duality between local vector theories inD= 2+1

Cited by 12 publications

References 22 publications

Duality and unitarity of massive spin-3/2 models in $$D=2+1$$

Duality and unitarity of massive spin-3/2 models in $$D=2+1$$

Suppressing vacuum fluctuations with vortex excitations

Gauge embedding procedure: classical and quantum equivalence between dual models

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