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The concept of Lagrange structure allows one to systematically quantize the Lagrangian and non-Lagrangian dynamics within the path-integral approach.
R. E. Peierls, The computation laws of relativistic field theory
1952
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2003
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P. O. Kazinski, S. L. Lyakhovich and A. A. Sharapov, Lagrange structure and quantization
2005
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M. Forger and S. V. Romero, Covariant Poisson brackets in geometric field theory
2005
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S. L. Lyakhovich and A. A. Sharapov, BRST theory without Hamiltonian and Lagrangian
2005
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I. Khavkine, Covariant phase space, constraints, gauge and the Peierls formula
2014
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S. L. Lyakhovich and A. A. Sharapov, Schwinger-Dyson equation for non-Lagrangian field theory
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