D Bazeia et al 2003 J. Phys. A: Math. Gen. 36 9943 doi:10.1088/0305-4470/36/38/311
Dual equivalence in models with higher-order derivatives
D Bazeia1, R Menezes1, J R Nascimento1, R F Ribeiro1 and C Wotzasek2
Show affiliationsWe introduce a class of higher-order derivative models in (2, 1) spacetime 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) spacetime 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.
- PACS
- MSC
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81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)
- Subjects
- Dates
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Issue 38 (26 September 2003)
Received 30 April 2003, in final form 14 July 2003
Published 10 September 2003
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Dual equivalence in models with higher-order derivatives
D Bazeia et al 2003 J. Phys. A: Math. Gen. 36 9943
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