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physics.gen-ph2021
Quantization of multidimensional variational principles
Alexander Roi Stoyanovsky
We construct a mathematical version of quantum field theory. It assigns to a multidimensional variational principle an associative algebra which is a quantization of the Poisson al…
physics.gen-ph2019★ 1 cited
A mathematical approach to quantum field theory
Alexander Roi Stoyanovsky
We develop a mathematical theory of quantization of multidimensional variational principles, and compare it with traditional constructions of quantum field theory. We conjecture th…
physics.gen-ph2011★ 3 cited
On the mathematical sense of renormalization
A. Stoyanovsky
We place the renormalization procedure in quantum field theory into the familiar mathematical context of quantization of Poisson algebras. The Poisson algebra in question is the al…