Dual equivalence in models with higher-order derivatives

Abstract

We introduce a class of higher-order derivative models in (2,1) space-time dimensions. The models are described by a vector field, and contain a Proca-like mass term which prevents gauge invariance. We use the gauge embedding procedure to generate another class of higher-order derivative models, gauge-invariant and dual to the former class. We show that the results are valid in arbitrary (d,1) space-time dimensions when one discards the Chern-Simons and Chern-Simons-like terms. We also investigate duality at the quantum level, and we show that it is preserved in the quantum scenario. Other results include investigations concerning the gauge embedding approach when the vector field couples with fermionic matter, and when one adds nonlinearity.

RevTex4, 14 pages; new version includes duality at the quantum level, and new references. To be published in J. Phys. A

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Cited by in corpus (9)

• Ghost free dual vector theories in 2+1 dimensions
• Generalized duality between local vector theories in $D=2+1$
• Nonminimal planar electrodynamics modified by higher-derivative terms
• On the duality in four-dimensional Lorentz-breaking field theories
• On the coupling of the self-dual field to dynamical U(1) Matter and its dual theory
• Alexandru Proca (1897--1955) the Great Physicist
• The self-dual Lorentz violating model: quantization, scattering and dual equivalence
• Dual equivalence between the Maxwell-Chern-Simons theory and two self-dual massive models interacting with matter in $\mathcal{N}=2$, $d=3$ superspace
• A first-class approach of higher derivative Maxwell-Chern-Simons Proca model