Consistent interactions and involution
High Energy Physics - Theory
2015-06-11 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1210.6821,
title = {Consistent interactions and involution},
author = {D. S. Kaparulin and S. L. Lyakhovich and A. A. Sharapov},
journal= {arXiv preprint arXiv:1210.6821},
year = {2015}
}
Comments
Minor misprints corrected, to appear in JHEP