Erratum: Dynamical generation of extended structures in field theory

1977 ◽  
Vol 15 (2) ◽  
pp. 549-549
Author(s):  
Philip D. Mannheim
Keyword(s):  
Field Theory ◽  
Dynamical Generation

scholarly journals Dynamical Generation of Solitons in a 1 + 1 Dimensional Chiral Field Theory: Non-Perturbative Dirac Operator Resolvent Analysis

1997 ◽  
Vol 12 (06) ◽  
pp. 1133-1142 ◽  
Author(s):  
Joshua Feinberg ◽  
A. Zee
Keyword(s):  
Field Theory ◽  
Dirac Operator ◽  
Inverse Scattering ◽  
Saddle Points ◽  
Inverse Scattering Method ◽  
Chiral Field ◽  
Scattering Method ◽  
One Dimensional ◽  
Dynamical Generation ◽  
Static Space

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 [Formula: see text] and [Formula: see text] 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 σ(x), π(x) 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.

scholarly journals Dynamical generation of extended structures in field theory

1976 ◽  
Vol 14 (8) ◽  
pp. 2072-2080 ◽  
Author(s):  
Philip D. Mannheim
Keyword(s):  
Field Theory ◽  
Dynamical Generation
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