Bosonization and duality in arbitrary dimensions: New results

Cantcheff, M. Botta; Helayël-Neto, J. A.

doi:10.1103/physrevd.67.025016

Cited by 13 publications

(34 citation statements)

References 29 publications

(59 reference statements)

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“…Since this negative result is based on the impossibility of closing the BRS algebra, we expect that our group structure could be crucial in doing that and, thus, in proving the consistency of this topologically massive model (which can be an alternative to the Standard Model). Our work will continue along these lines and the results will be presented in a forthcoming work [25].…”

Section: Generalized Doublets and (0 R)-tensors As Gauge Fieldsmentioning

confidence: 99%

“…In fact, as discussed in Section 2, even in the non associative case (where, for instance, b = 1), one could define a gauge theory, since the infinitesimal algebra would also lead to gauge invariant models. In this case, one should add a term −i[B µν , β ν ] in expression (23), and i[B µα , B νβ ]g αβ in (25), however the Chern-Simons theory is not longer topological.…”

Section: Generalized Doublets and (0 R)-tensors As Gauge Fieldsmentioning

confidence: 99%

See 1 more Smart Citation

Doublet Groups, Extended Lie Algebras, and Well Defined Gauge Theories for the Two-Form Field

Cantcheff

2005

Int. J. Mod. Phys. A

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We propose a symmetry law for a doublet of different form fields, which resembles gauge transformations for matter fields. This may be done for general Lie groups, resulting in an extension of Lie algebras and group manifolds. It is also shown that non-associative algebras naturally appear in this formalism, which are briefly discussed.Afterwards, a general connection which includes a two-form field is settled-down, solving the problem of setting a gauge theory for the Kalb-Ramond field for generical groups.Topological Chern-Simons theories can also be defined in four dimensions, and this approach clarifies their relation to the so-called B ∧ F -theories. We also revise some standard aspects of Kalb-Ramond theories in view of these new perspectives.Since this gauge connection is built upon a pair of fields consisting of a one-form and a two-form, one may define Yang-Mills theories as usually and, remarkably, also minimal coupling with bosonic matter, where the Kalb-Ramond field appears naturally as mediator; so, a new associated conserved charge can be defined. For the Abelian case, we explicitly construct the minimal interaction between B-field and matter following a "gauge principle" and find a novel conserved tensor current. This is our most significative result from the physical viewpoint.This framework is also generalized in such a way that any p-rank tensor may be formulated as a gauge field.

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Section: Generalized Doublets and (0 R)-tensors As Gauge Fieldsmentioning

confidence: 99%

Section: Generalized Doublets and (0 R)-tensors As Gauge Fieldsmentioning

confidence: 99%

Doublet Groups, Extended Lie Algebras, and Well Defined Gauge Theories for the Two-Form Field

Cantcheff

2005

Int. J. Mod. Phys. A

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“…By making these modifications in (13), using the relation (16) and the fact that fermions are on-shell, after a lengthy but straightforward algebra, we obtain…”

Section: A Calculation With the Original Modelmentioning

confidence: 99%

“…Nevertheless, in some cases, it is not simple to check if the new modes spoil the gauge theory obtained with the process of dualization. Examples are the dualized Lorentz-violating models treated in the papers [16], [17], [18] and [19]. It is not obvious that the ghosts and the physical particles decouple in these models.…”

Section: Introductionmentioning

confidence: 99%

Tree-level equivalence between a Lorentz-violating extension of QED and its dual model in electron–electron scattering

et al. 2017

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S-matrix amplitudes for the electron-electron scattering are calculated in order to verify the physical equivalence between two Lorentz-breaking dual models. We begin with an extended Quantum Electrodynamics which incorporates CPT-even Lorentz-violating kinetic and mass terms. Then, in a process of gauge embedding, its gauge-invariant dual model is obtained. The physical equivalence of the two models is established at tree-level in the electron-electron scattering and the unpolarized cross section is calculated up to second order in the Lorentz-violating parameter.

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“…In [14] a Noether gauge embedding procedure was suggested and applied in a variety of examples and dimensions [16,17,18]. However, it has been pointed out in [19] that this procedure may lead to ghosts in the dual gauge theory which has been explicitly verified in a dual model to a four dimensional Lorentz violating electrodynamics [20]. An understanding of this issue from the point of view of master actions allows us to propose an alternative master action to avoid the problem which is the aim of this work.…”

Section: Introductionmentioning

confidence: 99%

Ghost free dual vector theories in 2+1 dimensions

Dalmazi

2006

J. High Energy Phys.

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We explore here the issue of duality versus spectrum equivalence in abelian vector theories in 2 + 1 dimensions. Specifically we examine a generalized self-dual (GSD) model where a Maxwell term is added to the self-dual model. A gauge embedding procedure applied to the GSD model leads to a Maxwell-Chern-Simons (MCS) theory with higher derivatives. We show that the latter contains a ghost mode contrary to the original GSD model. On the other hand, the same embedding procedure can be applied to N f fermions minimally coupled to the self-dual model. The dual theory corresponds to N f fermions with an extra Thirring term coupled to the gauge field via a Pauli-like term. By integrating over the fermions at N f → ∞ in both matter coupled theories we obtain effective quadratic theories for the corresponding vector fields. On one hand, we have a nonlocal type of the GSD model. On the other hand, we have a nonlocal form of the MCS theory. It turns out that both theories have the same spectrum and are ghost free. By figuring out why we do not have ghosts in this case we are able to suggest a new master action which takes us from the local GSD to a nonlocal MCS model with the same spectrum of the original GSD model and ghost free. Furthermore, there is a dual map between both theories at classical level which survives quantum correlation functions up to contact terms. The remarks made here may be relevant for other applications of the master action approach.

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Bosonization and duality in arbitrary dimensions: New results

Cited by 13 publications

References 29 publications

Doublet Groups, Extended Lie Algebras, and Well Defined Gauge Theories for the Two-Form Field

Doublet Groups, Extended Lie Algebras, and Well Defined Gauge Theories for the Two-Form Field

Tree-level equivalence between a Lorentz-violating extension of QED and its dual model in electron–electron scattering

Ghost free dual vector theories in 2+1 dimensions

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