Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Converting Classical Theories to Quantum Theories by Solutions of the
  Hamilton-Jacobi Equation   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.

11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio