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arXiv · 1012.2567

A remark on the Lagrange structure of the unfolded field theory

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

Any local field theory can be equivalently reformulated in the so-called unfolded form. General unfolded equations are non-Lagrangian even though the original theory is Lagrangian. Using the theory of a scalar field as a basic example, the concept of Lagrange anchor is applied to perform a consistent path-integral quantization of unfolded dynamics. It is shown that the unfolded representation for the canonical Lagrange anchor of the d'Alembert equation inevitably involves an infinite number of space-time derivatives.

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D. S. Kaparulin, S. L. Lyakhovich, A. A. Sharapov. 2010-12-12. A remark on the Lagrange structure of the unfolded field theory. https://doi.org/10.1142/s0217751x11052840

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