scholarly journals GAUGED NAMBU-JONA-LASINIO MODEL AT O(1/N) WITH AND WITHOUT A CHERN-SIMONS TERM

1993 ◽  
Vol 08 (23) ◽  
pp. 2205-2212 ◽  
Author(s):  
J.A. GRACEY

We solve the gauged Nambu-Jona-Lasinio model at leading order in the large-N expansion by computing the anomalous dimensions of all the fields of the model and other gauge independent critical exponents by examining the scaling behavior of the Schwinger Dyson equation. We then restrict to the three-dimensional model and include a Chern-Simons term to discover the θ-dependence of the same exponents where θ is the Chern-Simons coupling.

1994 ◽  
Vol 09 (13) ◽  
pp. 1183-1188
Author(s):  
E.R. BEZERRA DE MELLO ◽  
R.F. RIBEIRO

We obtain in the leading order of 1/N expansion, the fermion-fermion effective potential for the three-dimensional model of (N) massless Dirac spinors with a general current and scalar quadrilinear self-interaction. Analyzing the Schrödinger equation in the presence of the nonrelativistic limit of this potential, we show that this system presents a fermionfermion bound state.


Skull Base ◽  
2008 ◽  
Vol 18 (S 01) ◽  
Author(s):  
Akio Morita ◽  
Toshikazu Kimura ◽  
Shigeo Sora ◽  
Kengo Nishimura ◽  
Hisayuki Sugiyama ◽  
...  

2019 ◽  
Vol 10 (6) ◽  
pp. 1382-1394
Author(s):  
R. Vijayalakshmi ◽  
V. K. Soma Sekhar Srinivas ◽  
E. Manjoolatha ◽  
G. Rajeswari ◽  
M. Sundaramurthy

2018 ◽  
Vol 62 (6) ◽  
pp. 659-662
Author(s):  
Korchagina O.A. ◽  
◽  
Trang Nguyen Thuy ◽  
Tevkina A.V. ◽  
◽  
...  

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