Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ordering, symbols, and finite-dimensional approximations of path
  integrals   We derive general form of finite-dimensional approximations of path integrals
for both bosonic and fermionic canonical systems in terms of symbols of
operators determined by operator ordering. We argue that for a system with a
given quantum Hamiltonian such approximations are independent of the type of
symbols up to terms of $O(\epsilon)$, where $\epsilon$ is infinitesimal time
interval determining the accuracy of the approximations. A new class of such
approximations is found for both c-number and Grassmannian dynamical variables.
The actions determined by the approximations are non-local and have no
classical continuum limit except the cases of $pq$- and $qp$-ordeeing. As an
explicit example the fermionic oscillator is considered in detail.

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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph