Magnetic critical properties of the undoped cuprates in a quasi-two-dimensional nonlinear-sigma-model approach

1992 ◽  
Vol 45 (18) ◽  
pp. 10771-10774 ◽  
Author(s):  
Bang-Gui Liu
Keyword(s):  
Sigma Model ◽  
Nonlinear Sigma Model ◽  
Two Dimensional ◽  
Critical Properties ◽  
Model Approach

THE BOSONIC SIGMA MODEL ON A TOROIDAL SURFACE

2004 ◽  
Vol 19 (16) ◽  
pp. 2713-2720
Author(s):  
D. G. C. McKEON
Keyword(s):  
Riemannian Manifold ◽  
Sigma Model ◽  
Three Dimensional ◽  
The Other ◽  
Target Space ◽  
Dimensional Euclidean Space ◽  
Nonlinear Sigma Model ◽  
Two Dimensional ◽  
Toroidal Surface ◽  
Spherical Basis

The nonlinear sigma model with a two-dimensional basis space and an n-dimensional target space is considered. Two different basis spaces are considered; the first is an 0(2)×0(2) subspace of the 0(2,2) projective space related to the Minkowski basis space, and the other is a toroidal space embedded into three-dimensional Euclidean space, characterized by radii R and r. The target space is taken to be an arbitrarily curved Riemannian manifold. One-loop dependence on the renormalization induced scale μ is shown in the toroidal basis space to be the same as in a flat or spherical basis space.

scholarly journals Perturbative construction of the two-dimensional O(N) nonlinear sigma model with ERG

2017 ◽  
Vol 41 ◽  
pp. 244-255
Author(s):  
Bekir Can LÜTFÜOĞLU ◽  
Hidenori SONODA
Keyword(s):  
Sigma Model ◽  
Nonlinear Sigma Model ◽  
Two Dimensional

Villarceau foliated solitons in the two-dimensional O(3) nonlinear sigma model

2006 ◽  
Vol 57 (1) ◽  
pp. 177-192 ◽  
Author(s):  
Manuel Barros ◽  
Magdalena Caballero ◽  
Miguel Ortega
Keyword(s):  
Sigma Model ◽  
Nonlinear Sigma Model ◽  
Two Dimensional
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