A remark on the Lagrange structure of the unfolded field theory

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.

17 pages, minor corrections

References in corpus (4)

• Higher Spin Gauge Theories in Various Dimensions
• A Poincare lemma for sigma models of AKSZ type
• Rigid Symmetries and Conservation Laws in Non-Lagrangian Field Theory
• Quantization of Donaldson-Uhlenbeck-Yau theory

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• Stable interactions via proper deformations
• Higher Spin Gravities and Presymplectic AKSZ Models
• Local BRST cohomology in (non-)Lagrangian field theory
• Off-shell higher-spin fields in $Ad{S}_4$ and external currents
• Unfolded Dynamics Approach and Quantum Field Theory
• Unfolded Formulation of 4d Yang-Mills Theory