Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Hubbard Model: A Computer Lab in the Strong Coupling Region   A challenge - and opportunity - is offered to the Hubbard Model community of
solutions extant for the strong coupling region. A rigorous and quantitatively
demanding test - a Computer Lab - is presented based on certain exact results
for the strong coupling limit derived in a companion paper. The test offers
rich insights into the essential physics of the model, specifically the
quasiparticle energy and width of the spectral weight function in the lower
Hubbard band. The width of the spectral weight function, related to electron
scattering, is large and has a strong momentum dependence, even for infinite
coupling. The test is applied to mean field solutions as well as some one
dimensional results. In each case, substantial problems are exposed. The method
is also used to determine a "best" (i.e. moment preserving) solution, subject
to only one assumption of a single dominant peak for the lower Hubbard band
spectral weight function.

18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph