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Consistent interactions and involution

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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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Authors and Affiliations

  1. Department of Quantum Field Theory, Tomsk State University, Tomsk, 634050, Russia

    D. S. Kaparulin, S. L. Lyakhovich & A. A. Sharapov

Authors
  1. D. S. Kaparulin
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  2. S. L. Lyakhovich
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  3. A. A. Sharapov
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Correspondence to S. L. Lyakhovich.

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ArXiv ePrint: 1210.6821

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Kaparulin, D.S., Lyakhovich, S.L. & Sharapov, A.A. Consistent interactions and involution. J. High Energ. Phys. 2013, 97 (2013). https://doi.org/10.1007/JHEP01(2013)097

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  • DOI: https://doi.org/10.1007/JHEP01(2013)097

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