Converting Classical Theories to Quantum Theories by Solutions of the Hamilton-Jacobi Equation
High Energy Physics - Theory
2012-08-07 v2 High Energy Physics - Phenomenology
Abstract
By employing special solutions of the Hamilton-Jacobi equation and tools from lattice theories, we suggest an approach to convert classical theories to quantum theories for mechanics and field theories. Some nontrivial results are obtained for a gauge field and a fermion field. For a topologically massive gauge theory, we can obtain a first order Lagrangian with mass term. For the fermion field, in order to make our approach feasible, we supplement the conventional Lagrangian with a surface term. This surface term can also produce the massive term for the fermion.
Keywords
Cite
@article{arxiv.1204.1361,
title = {Converting Classical Theories to Quantum Theories by Solutions of the Hamilton-Jacobi Equation},
author = {Zhi-Qiang Guo and Ivan Schmidt},
journal= {arXiv preprint arXiv:1204.1361},
year = {2012}
}
Comments
30 pages, no figures, v2: discussions and references added, published version matched