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arXiv · 1210.6821

Consistent interactions and involution

D. S. Kaparulin·S. L. Lyakhovich·A. A. Sharapov
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Abstract

Starting from the concept of involution of field equations, a universal method is proposed for constructing consistent interactions between the fields. The method equally well applies to the Lagrangian and non-Lagrangian equations and it is explicitly covariant. No auxiliary fields are introduced. The equations may have (or have no) gauge symmetry and/or second class constraints in Hamiltonian formalism, providing the theory admits a Hamiltonian description. In every case the method identifies all the consistent interactions.

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D. S. Kaparulin, S. L. Lyakhovich, A. A. Sharapov. 2012-10-25. Consistent interactions and involution. https://doi.org/10.1007/jhep01(2013)097

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