2015/04/30 by Daniel Canarutto
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #BRST quantization #Black Holes and Theoretical Physics #Computer science #Field (mathematics) #Gauge theory #Geometry #Hamiltonian (control theory) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum #Quantum field theory #Quantum mechanics #Relation (database) #Rotation formalisms in three dimensions #Theoretical physics #math-ph #math.MP #msc:81T13 #msc:81T20
paper · pdf · doi:10.1016/s0034-4877(16)30056-8
2+29 pages. With respect to v1, a third section was added, and parts of the discussions were modified in order to improve clarity
arxiv created 2015/06/08 · openalex publication_date 2016/10/01 · arxiv updated 2016/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
An inspection of the precise geometric constructions underlying fundamental notions in quantum gauge field theories sheds light on various aspects which tend to be obscured in the usual formalisms. Revising the notions of mutually conjugated "internal" bundles we propose a general rule for the constructions of free quantum fields and their conjugates, naturally yielding the needed fundamental properties with regard to contractions, super-commutators, field momentum and Hamiltonian, and other quantities. This scheme applies to fields of all types; in particular we examine consequences in relation to ghosts and anti-ghosts. Finally in the context of observer-independent Frölicher-smooth quantum bundles we show how the antifield sectors naturally arise, and examine the precise relation among these and the BRST symmetry of a gauge field theory.