scholarly journals NONCOMMUTATIVE INSTANTONS ON d = 2n PLANES FROM MATRIX MODELS

2003 ◽  
Vol 18 (07) ◽  
pp. 1125-1140 ◽  
Author(s):  
P. VALTANCOLI
Keyword(s):  
Matrix Models ◽  
Gauge Theories ◽  
Instanton Solution ◽  
Noncommutative Gauge Theories ◽  
Noncommutative Instantons

In the case of an invertible coordinate commutator matrix θij, we derive a general instanton solution of the noncommutative gauge theories on d = 2n planes given in terms of n oscillators.

scholarly journals Noncommutative gauge theories on $ \mathbb{R}_{\theta}^2 $ as matrix models

2013 ◽  
Vol 2013 (9) ◽  
Author(s):  
Pierre Martinetti ◽  
Patrizia Vitale ◽  
Jean-Christophe Wallet
Keyword(s):  
Matrix Models ◽  
Gauge Theories ◽  
Noncommutative Gauge Theories

scholarly journals Recent Developments in Instantons in Noncommutative

2010 ◽  
Vol 2010 ◽  
pp. 1-28 ◽  
Author(s):  
Akifumi Sako
Keyword(s):  
Green's Functions ◽  
Gauge Theories ◽  
Green’S Functions ◽  
Operator Formalism ◽  
Zero Modes ◽  
Recent Developments ◽  
Noncommutative Gauge Theories ◽  
Topological Charges ◽  
Noncommutative Instantons

We review recent developments in noncommutative deformations of instantons in . In the operator formalism, we study how to make noncommutative instantons by using the ADHM method, and we review the relation between topological charges and noncommutativity. In the ADHM methods, there exist instantons whose commutative limits are singular. We review smooth noncommutative deformations of instantons, spinor zero-modes, the Green's functions, and the ADHM constructions from commutative ones that have no singularities. It is found that the instanton charges of these noncommutative instanton solutions coincide with the instanton charges of commutative instantons before noncommutative deformation. These smooth deformations are the latest developments in noncommutative gauge theories, and we can extend the procedure to other types of solitons. As an example, vortex deformations are studied.

scholarly journals Anomaly cancellation in three-dimensional noncommutative gauge theories

2007 ◽  
Vol 656 (1-3) ◽  
pp. 145-151 ◽  
Author(s):  
M. Gomes ◽  
T. Mariz ◽  
J.R. Nascimento ◽  
A.Yu. Petrov ◽  
A.J. da Silva ◽  
...  
Keyword(s):  
Gauge Theories ◽  
Three Dimensional ◽  
Anomaly Cancellation ◽  
Noncommutative Gauge Theories
Sign in / Sign up

Export Citation Format

Share Document