Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Electrons, pseudoparticles, and quasiparticles in one-dimensional
  interacting electronic systems   We find the singular transformation between the electron operator and the
pseudoparticle operators for the Hubbard chain. We generalize the concept of
quasiparticle to one-dimensional electronic systems which in 1D refers to
many-pseudoparticle objects. We obtain explicit results for the electron
renormalization factor, self energy, and vertex functions at the Fermi points.
We also discuss the possible connection of our results to higher dimensions and
explore the possibilities of instabilities in the interacting problem such as
the formation of Cooper pairs.

35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci