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Dynamical similarity in multisymplectic field theory

Callum Bell* and David Sloan†

  • *Contact author: c.bell8@lancaster.ac.uk
  • †Contact author: d.sloan@lancaster.ac.uk
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Phys. Rev. D 113, 125020 – Published 15 June, 2026

DOI: https://doi.org/10.1103/7zcx-9r9k

Abstract

Symmetry under a particular class of nonstrictly canonical transformation may be used to identify, and subsequently excise degrees of freedom which do not contribute to the closure of the algebra of dynamical observables. Such redundant degrees of freedom may physically be identified with empirically inaccessible measures of global scale. In this article, we present a mathematical framework which extends the symmetry reduction procedure to theories of classical fields, in both the Lagrangian and Hamiltonian settings. In order to maintain Lorentz covariance, while simultaneously working with a finite-dimensional phase space, we employ the De Donder-Weyl formalism, for which the natural description is formulated in terms of the fibered manifolds of multisymplectic geometry. We subsequently analyze a number of simple examples, and provide a discussion of the broader implications of our construction.

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Dynamical similarity

David Sloan
Phys. Rev. D 97, 123541 (2018)

Article Text

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Phys. Rev. D 113, 125020– Published 15 June, 2026
  • Received 30 September 2025
  • Accepted 22 May 2026
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