Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the maximal cut of Feynman integrals and the solution of their
  differential equations   The standard procedure for computing scalar multi-loop Feynman integrals
consists in reducing them to a basis of so-called master integrals, derive
differential equations in the external invariants satisfied by the latter and,
finally, try to solve them as a Laurent series in $\epsilon = (4-d)/2$, where
$d$ are the space-time dimensions. The differential equations are, in general,
coupled and can be solved using Euler's variation of constants, provided that a
set of homogeneous solutions is known. Given an arbitrary differential equation
of order higher than one, there exist no general method for finding its
homogeneous solutions. In this paper we show that the maximal cut of the
integrals under consideration provides one set of homogeneous solutions,
simplifying substantially the solution of the differential equations.

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The categories of this paper are: patt-sol
3
The categories of this paper are: physics
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg