Zhi-Qiang Guo, Ivan Schmidt
By employing special solutions of 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 non-trivial results are obtained for gauge field and fermion field. For a topologically massive gauge theory, we can obtain a first order Lagrangian with mass term. For fermion field, in order to make our approach feasible, we supplement the conventional Lagrangian with a surface term. This surface term can also produce a massive term for fermion.
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http://arxiv.org/abs/1204.1361
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