Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-10-08
Int.J.Mod.Phys.A12:1133-1142,1997
Physics
High Energy Physics
High Energy Physics - Theory
10 pages, 2 figures, LaTex. Talk delivered by J.Feinberg at the Workshop on Low Dimensional Field Theory at Telluride, CO (Aug
Scientific paper
10.1142/S0217751X97000864
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.
Feinberg Joshua
Zee Anthony
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