XXXIII Workshop on Geometric Methods in Physics | 29.06-5.07.2014 |

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## Alexey Sharapov## Peierlsâ€™ brackets in non-Lagrangian field theoryThe concept of Lagrange anchor introduced in [P.O. Kazinski, S.L. Lyakhovich, A.A. Sharapov, JHEP0507(2005)076] allows one to consistently quantize the non-Lagrangian dynamics within the path-integral approach. I will show that any Lagrange anchor gives rise to a covariant Poisson bracket on the space of true histories of the theory. The bracket generalizes the well-known Peierlâ€™s bracket construction and makes a bridge between the path-integral and the deformation quantization of non-Lagrangian dynamics. |

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