Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Green's Function for a Hierarchical Self-Avoiding Walk in Four
  Dimensions   This is the second of two papers on the end-to-end distance of a weakly
self-repelling walk on a four dimensional hierarchical lattice. It completes
the proof that the expected value grows as a constant times \sqrt{T} log^{1/8}T
(1+O((log log T)/log T)), which is the same law as has been conjectured for
self-avoiding walks on the simple cubic lattice Z^4.
  -
  Apart from completing the program in the first paper, the main result is that
the Green's function is almost equal to the Green's function for the Markov
process with no self-repulsion, but at a different value of the killing rate
\beta which can be accurately calculated when the interaction is small.
Furthermore, the Green's function is analytic in \beta in a sector in the
complex plane with opening angle greater than \pi.

30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin