Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Resistance of Feynman Diagrams and the Percolation Backbone
  Dimension   We present a new view of Feynman diagrams for the field theory of transport
on percolation clusters. The diagrams for random resistor networks are
interpreted as being resistor networks themselves. This simplifies the field
theory considerably as we demonstrate by calculating the fractal dimension
$D_B$ of the percolation backbone to three loop order. Using renormalization
group methods we obtain $D_B = 2 + \epsilon /21 - 172\epsilon^2 /9261 + 2
\epsilon^3 (- 74639 + 22680 \zeta (3))/4084101$, where $\epsilon = 6-d$ with
$d$ being the spatial dimension and $\zeta (3) = 1.202057..$.

11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an