An unconventional canonical quantization of local scalar fields over quantum space-time

DOI10.1063/1.527788zbMath0618.46064OpenAlexW2078351343MaRDI QIDQ4727699

Miklos Banai

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527788

zbMATH Keywords

canonical commutation relationscanonical quantizationfiber bundlesquantized fieldHilbert A-modulessystems with infinitely many degrees of freedomBoolean valued modelsHaag's theoremlocal field theoryultraviolet catastrophesymplectic approach of field theories

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Geometry and quantization, symplectic methods (81S10) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Miscellaneous applications of functional analysis (46N99) Fiber bundles in algebraic topology (55R10) Other aspects of forcing and Boolean-valued models (03E40)

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