On the variational principle in the unfolded dynamics

Autor:	Tarusov, A.A., Vasiliev, M.A.
Rok vydání:	2021
Předmět:	High Energy Physics - Theory Nuclear and High Energy Physics High Energy Physics - Theory (hep-th) Physics QC1-999 Nuclear Theory Physics::Atomic and Molecular Clusters FOS: Physical sciences Mathematical Physics (math-ph) Mathematical Physics
Zdroj:	Physics Letters B, Vol 825, Iss, Pp 136882-(2022) Physics Letters
DOI:	10.48550/arxiv.2111.12691
Popis:	The interplay between off-shell and on-shell unfolded systems is analysed. The formulation of invariant constraints that put an off-shell system on shell is developed by adding new variables and derivation in the target space, that extends the original $Q$-derivation of the unfolded system to a bicomplex. The analogue of the Euler-Lagrange equations in the unfolded dynamics is suggested. The general class of invariant on-shell equation constraints is defined in cohomological terms. The necessary and sufficient condition for the on-shell equation constraints being Euler-Lagrange for some Lagrangian system is proven. The proposed construction is illustrated by the scalar field example. Comment: 15 pages, no figures; V2: clarifications, reference and acknowledgments added, published version
Databáze:	OpenAIRE
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