Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Local Variational Differential Operators in Field Theory   We propose and develop a new calculus for local variational differential
operators. The main difference of the new formalism with the canonical
differential calculus is that the image of higher order operators on local
functionals does not contain indefinite quantities like $\delta(0)$. We apply
this formalism to BV formulation of general gauge field theory and to its
Sp(2)-symmetric generalization. Its relation to a quasiclassical expansion is
also discussed.

13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
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The categories of this paper are: nlin
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th