2014/05/31 by Daniel Canarutto · 1 citation
Mathematics · Physics and Astronomy · #BRST quantization #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Gauge theory #Geometry #Infinitesimal #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum field theory #Quantum gravity #Quantum mechanics #Smoothness #Symmetry (geometry) #Theoretical physics #math-ph #math.MP #msc:58B99 #msc:81T13 #msc:81T20
paper · pdf · doi:10.1016/j.geomphys.2014.11.013
26 pages, Journal of Geometry and Physics (2014)
openalex publication_date 2014/11/30 · arxiv created 2014/12/10 · arxiv updated 2014/12/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We attempt a clarification of geometric aspects of quantum field theory by using the notion of smoothness introduced by Frölicher and exploited by several authors in the study of functional bundles. A discussion of momentum and position representations in curved spacetime, in terms of generalized semi-densities, leads to a definition of quantum configuration bundle which is suitable for a treatment of that kind. A consistent approach to Lagrangian field theories, vertical infinitesimal symmetries and related currents is then developed, and applied to a formulation of BRST symmetry in a gauge theory of the Yang-Mills type.