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ON LAGRANGE STRUCTURE OF UNFOLDED FIELD THEORY

D. S. KAPARULIN

Department of Quantum Field Theory, Physics Faculty, Tomsk State University, 634050 Tomsk, Russia

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S. L. LYAKHOVICH

Department of Quantum Field Theory, Physics Faculty, Tomsk State University, 634050 Tomsk, Russia

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A. A. SHARAPOV

Department of Quantum Field Theory, Physics Faculty, Tomsk State University, 634050 Tomsk, Russia

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https://doi.org/10.1142/S0217751X11052840Cited by:11 (Source: Crossref)

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. Making use of the unfolded massless scalar field equations 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.

Keywords:

PACS: 11.10.-z, 11.15.-q

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