Work

Reframing Classical Mechanics: An AKSZ Sigma Model Perspective

Year: 2025

Type: article

Abstract: 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]).

Source: Universe

DOI: 10.3390/universe11060196

Authors: Thomas Basile, Nicolas Boulanger, Arghya Chattopadhyay

Institutions: University of Mons, University of Puerto Rico-Mayaguez

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,930

Funders: European Commission, European Research Council