Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamical Generation of Solitons in a 1+1 Dimensional Chiral Field
  Theory: Non-Perturbative Dirac Operator Resolvent Analysis   We analyze the 1+1 dimensional Nambu-Jona-Lasinio model non-perturbatively.
We study non-trivial saddle points of the effective action in which the
composite fields $\sigx=<\bar\psi\psi>$ and $\pix=<\bar\psii\gam_5\psi>$ form
static space dependent configurations. These configurations may be viewed as
one dimensional chiral bags that trap the original fermions (``quarks'') into
stable extended entities (``hadrons''). We provide explicit expressions for the
profiles of some of these objects and calculate their masses. Our analysis of
these saddle points, and in particular, the proof that the $\sigx, \pix$
condensations must give rise to a reflectionless Dirac operator, appear to us
simpler and more direct than the calculations previously done by Shei, using
the inverse scattering method following Dashen, Hasslacher, and Neveu.

12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an