Quantization of multidimensional variational principles
General Physics
2021-09-23 v3
Abstract
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 algebra of classical field theory observables. For free scalar field and for the Dirichlet principle, this construction yields free algebraic quantum field theory and free field representation in two dimensional conformal field theory.
Cite
@article{arxiv.2108.07694,
title = {Quantization of multidimensional variational principles},
author = {Alexander Roi Stoyanovsky},
journal= {arXiv preprint arXiv:2108.07694},
year = {2021}
}
Comments
24 pages, small corrections