scholarly journals THE NONCOMMUTATIVE SUPERSYMMETRIC NONLINEAR SIGMA MODEL

2002 ◽  
Vol 17 (11) ◽  
pp. 1503-1516 ◽  
Author(s):  
H. O. GIROTTI ◽  
M. GOMES ◽  
V. O. RIVELLES ◽  
A. J. DA SILVA
Keyword(s):  
Scalar Field ◽  
Sigma Model ◽  
Nonlinear Sigma Model ◽  
Similar Statement ◽  
Moyal Product ◽  
Point Function ◽  
Commutative Case ◽  
Mass Generation ◽  
Dynamical Mass ◽  
Supersymmetric Nonlinear Sigma Model

We show that the noncommutativity of space–time destroys the renormalizability of the 1/N expansion of the O(N) Gross–Neveu model. A similar statement holds for the noncommutative nonlinear sigma model. However, we show that, up to the subleading order in 1/N expansion, the noncommutative supersymmetric O(N) nonlinear sigma model becomes renormalizable in D=3. We also show that dynamical mass generation is restored and there is no catastrophic UV/IR mixing. Unlike the commutative case, we find that the Lagrange multiplier fields, which enforce the supersymmetric constraints, are also renormalized. For D=2 the divergence of the four-point function of the basic scalar field, which in D=3 is absent, cannot be eliminated by means of a counterterm having the structure of a Moyal product.

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 ON THE QUANTIZATION OF THE N = 2 SUPERSYMMETRIC NONLINEAR SIGMA MODEL

1993 ◽  
Vol 08 (19) ◽  
pp. 3359-3369 ◽  
Author(s):  
G. ALDAZABAL ◽  
J. M. MALDACENA
Keyword(s):  
Operator Product Expansion ◽  
Sigma Model ◽  
Superconformal Algebra ◽  
Operator Product ◽  
Nonlinear Sigma Model ◽  
Coordinate Transformations ◽  
Supersymmetric Nonlinear Sigma Model

A method for quantizing the bidimensional N = 2 supersymmetric nonlinear sigma model is developed. This method is both covariant under coordinate transformations (concerning the order relevant for calculation) and explicitly N = 2 supersymmetric. The operator product expansion of the supercurrent is computed accordingly, including also the dilaton. By imposing the N = 2 superconformal algebra the equations for the metric and the dilaton are obtained. In particular, they imply that the dilaton is a constant.

scholarly journals Supersymmetric nonlinear sigma model in AdS5

2011 ◽  
Vol 702 (4) ◽  
pp. 291-294 ◽  
Author(s):  
Jonathan Bagger ◽  
Jingsheng Li
Keyword(s):  
Sigma Model ◽  
Nonlinear Sigma Model ◽  
Supersymmetric Nonlinear Sigma Model

scholarly journals THE NEUTRALINO SECTOR IN STRONGLY INTERACTING SUPERSYMMETRIC MODELS

1994 ◽  
Vol 09 (39) ◽  
pp. 3691-3701 ◽  
Author(s):  
W.T.A. TER VELDHUIS
Keyword(s):  
Z Boson ◽  
Sigma Model ◽  
Electroweak Symmetry Breaking ◽  
Nonlinear Sigma Model ◽  
Electroweak Symmetry ◽  
Strongly Interacting ◽  
Super Symmetry ◽  
Supersymmetric Models ◽  
Supersymmetric Nonlinear Sigma Model ◽  
Energy Physics

The neutralino sector is analyzed for a supersymmetric nonlinear sigma model. This model describes the low energy physics of strongly interacting theories in which super-symmetry is softly broken at scales below the electroweak symmetry breaking scale. The measured width of the Z boson constrains the allowed range of parameters. In case the lightest neutralino is stable, limits on additional contributions to the invisible width of the Z boson and on the relic neutralino density further restrict parameter space. As a consequence, the lightest neutralino in the considered class of theories is required to have a mass above 15 GeV, but below MZ.

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