On bosonization in 3 dimensions

Barci, Daniel G.; Fosco, C. D.; Oxman, L. E.

doi:10.1016/0370-2693(96)00224-9

Cited by 64 publications

(109 citation statements)

References 13 publications

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“…In this last case the bosonic theory corresponds, in the large fermion mass limit, to a Chern-Simons theory while in the massless case it coincides with the abelian non-local action discussed in [20], [23]. In fact one should expect that an analysis similar to that in [23] can be carried out leading to an explicit (although complicated) bosonic action valid in all fermion mass regimes. The results above are derived in section 3.…”

Section: Introduction and Resultsmentioning

confidence: 73%

“…In the present work we have used a result valid for very massive fermions but one can envisage approximations which can cover other regimes, in particular the massless case. This was considered for the abelian case in [23] and the corresponding bosonization analysis thoroughly discussed in [3]. We expect that a similar analysis can be done in the non-abelian case and we hope to report on it in a future paper.…”

Section: Discussionmentioning

confidence: 94%

“…This implies the necessity of making approximations at some stage of our bosonization procedure to render calculations feasible. In the d = 3 Abelian case one can handle these approximations in a very general framework [23], [3]. Being the non-Abelian case far more complicated than the Abelian one, we shall only discuss the limiting case of very massive fermions, for which the fermion determinant is related to the Chern-Simons (CS) action [36]- [37].…”

Section: = Non-abelian Bosonizationmentioning

confidence: 99%

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Non-abelian bosonization in two and three dimensions

et al. 1997

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We discuss non-Abelian bosonization of two and three dimensional fermions using a path-integral framework in which the bosonic action follows from the evaluation of the fermion determinant for the Dirac operator in the presence of a vector field. This naturally leads to the Wess-Zumino-Witten action for massless two-dimensional fermions and to a Chern-Simons action for very massive three dimensional fermions. One advantage of our approach is that it allows to derive the exact bosonization recipe for fermion currents in a systematic way.

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Section: Introduction and Resultsmentioning

confidence: 73%

Section: Discussionmentioning

confidence: 94%

Section: = Non-abelian Bosonizationmentioning

confidence: 99%

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Non-abelian bosonization in two and three dimensions

et al. 1997

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“…[10]. In that reference the functions F (−∂ 2 ) and G(−∂ 2 ) were explicitly computed, obtaining for their Fourier transformsF (k)…”

Section: B On the Quadratic Approximationmentioning

confidence: 99%

Topological and universal aspects of bosonized interacting fermionic systems in 2+1 dimensions

1999

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General results on the structure of the bosonization of fermionic systems in (2 + 1)d are obtained. In particular, the universal character of the bosonized topological current is established and applied to generic fermionic current interactions. The final form of the bosonized action is shown to be given by the sum of two terms. The first one corresponds to the bosonization of the free fermionic action and turns out to be cast in the form of a pure Chern-Simons term, up to a suitable nonlinear field redefinition. We show that the second term, following from the bosonization of the interactions, can be obtained by simply replacing the fermionic current by the corresponding bosonized expression.2

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“…In [8], before compactifying QED 3 with dynamical fermions, the bosonized version of the matter sector was considered (see [12,13]),…”

Section: Bosonization and Compactification Of Qedmentioning

confidence: 99%

Massless fermions and the instanton dipole liquid in compact QED3

Fosco

Oxman

2006

Annals of Physics

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We study the consequences of including parity preserving matter for the effective dual theory corresponding to compact QED 3 ; in particular we focus on the effect of that contribution on the confinementdeconfinement properties of the system. To that end, we compare two recent proposals when massless fermions are included, both based on an effective anomalous dual model, but having global and local Z 2 symmetries, respectively.We present a detailed analysis to show that while for large mass fermions the global Z 2 symmetry is preferred, in the massless fermion case the local Z 2 scenario turns out to be the proper one.We present a detailed discussion about how the inclusion of massless fermions in compact QED 3 leads to deconfinement, and discuss the stability of the deconfined phase by introducing a description based on an instanton dipole liquid picture.

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On bosonization in 3 dimensions

Cited by 64 publications

References 13 publications

Non-abelian bosonization in two and three dimensions

Non-abelian bosonization in two and three dimensions

Topological and universal aspects of bosonized interacting fermionic systems in 2+1 dimensions

Massless fermions and the instanton dipole liquid in compact QED3

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