THE EFFECTIVE ACTION FOR THE THIRRING GROSS-NEVEU MODEL IN (2+1) DIMENSIONS

1994 ◽  
Vol 09 (13) ◽  
pp. 1183-1188
Author(s):  
E.R. BEZERRA DE MELLO ◽  
R.F. RIBEIRO
Keyword(s):  
Effective Potential ◽  
Effective Action ◽  
Three Dimensional ◽  
Bound State ◽  
Nonrelativistic Limit ◽  
Leading Order ◽  
Dimensional Model ◽  
Three Dimensional Model ◽  
Dirac Spinors ◽  
Gross Neveu Model

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.

THE FERMION-FERMION EFFECTIVE ACTION FOR THE THREE-DIMENSIONAL MASSIVE THIRRING MODEL

1994 ◽  
Vol 09 (18) ◽  
pp. 3143-3151 ◽  
Author(s):  
R.F. RIBEIRO ◽  
E.R. BEZERRA DE MELLO
Keyword(s):  
Schrödinger Equation ◽  
Effective Potential ◽  
Effective Action ◽  
Schrodinger Equation ◽  
Three Dimensional ◽  
Bound State ◽  
Thirring Model ◽  
Coupling Constant ◽  
Massive Thirring Model

In this paper a nonrelativistic fermion-fermion effective potential for a three-dimensional massive Thirring model is obtained in a 1/N expansion. We show, by analyzing the Schrödinger equation in the presence of this potential, that the system presents a fermion-fermion bound state for a positive value of the coupling constant g.

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
Keyword(s):  
Critical Exponents ◽  
Three Dimensional ◽  
Dyson Equation ◽  
Scaling Behavior ◽  
Leading Order ◽  
Dimensional Model ◽  
Three Dimensional Model ◽  
Anomalous Dimensions ◽  
Large N ◽  
Chern Simons

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.

Three-Dimensional Model for Virtual Surgical Simulation, during Complex Skull Base Surgery and Aneurysm Surgery

Skull Base ◽  
2008 ◽  
Vol 18 (S 01) ◽  
Author(s):  
Akio Morita ◽  
Toshikazu Kimura ◽  
Shigeo Sora ◽  
Kengo Nishimura ◽  
Hisayuki Sugiyama ◽  
...  
Keyword(s):  
Skull Base ◽  
Surgical Simulation ◽  
Skull Base Surgery ◽  
Three Dimensional ◽  
Aneurysm Surgery ◽  
Dimensional Model ◽  
Three Dimensional Model

A Variant Group Assignment Three Dimensional Model Using Pattern Recognition Technique

2019 ◽  
Vol 10 (6) ◽  
pp. 1382-1394
Author(s):  
R. Vijayalakshmi ◽  
V. K. Soma Sekhar Srinivas ◽  
E. Manjoolatha ◽  
G. Rajeswari ◽  
M. Sundaramurthy
Keyword(s):  
Pattern Recognition ◽  
Three Dimensional ◽  
Dimensional Model ◽  
Three Dimensional Model ◽  
Pattern Recognition Technique ◽  
Group Assignment ◽  
Recognition Technique
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