Reframing Classical Mechanics: An AKSZ Sigma Model Perspective
The path-integral re-formulation due to E. Gozzi, M. Regini, M. Reuter, and W. D. Thacker of Koopman and von Neumann’s original operator formulation of a classical Hamiltonian system on a symplectic manifold M is identified as a gauge slice of a one-dimensional Alexandrov–Kontsevich–Schwarz–Zaboronsky sigma model with target T*(T[1]M×R[1]).
Authors
- Nicolas Boulanger (ORCID: https://orcid.org/0000-0002-1499-5059)
- Arghya Chattopadhyay (ORCID: https://orcid.org/0000-0002-6427-5076)
- Thomas Basile (ORCID: https://orcid.org/0000-0003-4130-2569)
Institutions
- University of Mons (BE)
- University of Puerto Rico-Mayaguez (PR)
Publication Details
- Journal
- Universe
- Published
- 2025-06-19
- DOI
- https://doi.org/10.3390/universe11060196
- Primary Topic
- Black Holes and Theoretical Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- European Commission
- European Research Council