Gauge structure, anomalies, and mass generation in a three-dimensional Thirring model

1991 ◽  
Vol 43 (10) ◽  
pp. 3516-3523 ◽  
Author(s):  
M. Gomes ◽  
R. S. Mendes ◽  
R. F. Ribeiro ◽  
A. J. da Silva
Keyword(s):  
Three Dimensional ◽  
Thirring Model ◽  
Mass Generation ◽  
Gauge Structure

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 DYNAMICAL MASS GENERATION AND CRITICAL CURVATURE IN THE O(N) NONLINEAR SIGMA MODEL

1996 ◽  
Vol 11 (19) ◽  
pp. 1569-1578
Author(s):  
DAE-YUP SONG
Keyword(s):  
Sigma Model ◽  
Three Dimensional ◽  
Nonlinear Sigma Model ◽  
Mass Generation ◽  
Dynamical Mass ◽  
Large N ◽  
Static Einstein Universe ◽  
Critical Curvature ◽  
Second Order Phase Transition ◽  
Dynamical Mass Generation

The large-N nonlinear O(N) sigma model with the curvature coupled term ξRn2 is examined on a spacetime of R1×S2 topology (three-dimensional static Einstein universe). Making use of the cutoff method, we find the renormalized effective potential which shows that, for ξ>1/8, there is a second-order phase transition. Above the critical curvature, the dynamical mass generation does not take place even in the strong-coupled regime. The phase structure of the model on S2 is also discussed.

scholarly journals Parity violation in the three dimensional Thirring model

1994 ◽  
Vol 338 (4) ◽  
pp. 465-470 ◽  
Author(s):  
G. Rossini ◽  
F.A. Schaposnik
Keyword(s):  
Parity Violation ◽  
Three Dimensional ◽  
Thirring Model

TOPOLOGICAL EXCITATIONS, SPIN WAVES AND THE ORIGIN OF MASS

1995 ◽  
Vol 09 (22) ◽  
pp. 2937-2947 ◽  
Author(s):  
GAUTAM GOSWAMI
Keyword(s):  
Spin Waves ◽  
Three Dimensional ◽  
Low Energy ◽  
Xy Model ◽  
Mass Generation ◽  
Topological Excitations ◽  
Characteristic Features

Topological aspects of low energy excitations in the form of spin-waves in ferromagnetic systems are studied here. It is pointed out that the generation of spin-waves in three-dimensional Ising fermions can be visualized through the change in chirality. The characteristic features of spin-waves in both the phases of a continuous symmetric XY model are also studied. It is argued that the mass generation of these low energy excitations has a topological origin.

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