scholarly journals Dynamical generation of extended objects in a(1+1)-dimensional chiral field theory: Nonperturbative Dirac operator resolvent analysis

1997 ◽  
Vol 56 (8) ◽  
pp. 5050-5065 ◽  
Author(s):  
Joshua Feinberg ◽  
A. Zee
Keyword(s):  
Field Theory ◽  
Dirac Operator ◽  
Chiral Field ◽  
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.

Finite nuclei in a pure fermionic chiral field theory

1987 ◽  
Vol 194 (3) ◽  
pp. 331-333 ◽  
Author(s):  
Volker Koch ◽  
Bernard Blättel ◽  
Ulrich Mosel
Keyword(s):  
Field Theory ◽  
Chiral Field ◽  
Finite Nuclei

scholarly journals Hypermatter in chiral field theory

1997 ◽  
Vol 23 (12) ◽  
pp. 2081-2089 ◽  
Author(s):  
P Papazoglou ◽  
D Zschiesche ◽  
S Schramm ◽  
H Stöcker ◽  
W Greiner
Keyword(s):  
Field Theory ◽  
Chiral Field

Weinberg sum rules in an effective chiral field theory

1996 ◽  
Vol 386 (1-4) ◽  
pp. 45-49 ◽  
Author(s):  
V. Dmitrašinović ◽  
S.P. Klevansky ◽  
R.H. Lemmer
Keyword(s):  
Field Theory ◽  
Sum Rules ◽  
Chiral Field
Sign in / Sign up

Export Citation Format

Share Document