On Anomalies in Classical Dynamical Systems

DOI10.2991/jnmp.2001.8.4.6zbMath1004.37044arXivmath-ph/0105051OpenAlexW2160218038MaRDI QIDQ2766064

Francesco Toppan

Publication date: 11 June 2002

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0105051

zbMATH Keywords

symmetriesPoisson bracketsNoether theoremLiouville theorytwo-dimensional field theoriesfree chiral fermionsclassical anomaliesFloreanini-Jackiw chiral boson modelmassless free bosons

Mathematics Subject Classification ID

Anomalies in quantum field theory (81T50) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Symmetries and conservation laws in mechanics of particles and systems (70S10)

Related Items (4)

Noncentral Extensions as Anomalies in Classical Dynamical Systems ⋮ Trace and diffeomorphism anomalies of the classical Liouville theory, Virasoro algebras, Weyl-gauging and all that ⋮ Four types of (super)conformal mechanics: D-module reps and invariant actions ⋮ On the supersymmetrization of Galileon theories in four dimensions

Cites Work

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• A new improved energy-momentum tensor.
• Twisted Diff \(S^ 1\)-action on loop groups and representations of the Virasoro algebra
• Some remarks on BRS transformations, anomalies and the cohomology of the Lie algebra of the group of gauge transformations
• Exchange algebra and the Drinfel'd-Sokolov theorem
• Zeta function regularization of path integrals in curved spacetime
• Double complexes and cohomological hierarchy in a space of weakly invariant Lagrangians of mechanics
• Classical anomalies for spinning particles

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