Comments on the U (2) noncommutative instanton

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We discuss the 't Hoof ansatz for instanton solutions in noncommutative U (2) Yang-Mills theory. We show that the extension of the ansatz leading to singular solutions in the commutative case, yields to non self-dual (or self-antidual) configurations in noncommutative space-time. A proposal lea...

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Detalles Bibliográficos
Autores principales: Correa, D.H., Lozano, G., Moreno, E.F., Schaposnik, F.A.
Formato: JOUR
Materias:
article
calculation
cosmological phenomena
elementary particle
mathematical analysis
space
theory
time
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_03702693_v515_n1-2_p206_Correa
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario:We discuss the 't Hoof ansatz for instanton solutions in noncommutative U (2) Yang-Mills theory. We show that the extension of the ansatz leading to singular solutions in the commutative case, yields to non self-dual (or self-antidual) configurations in noncommutative space-time. A proposal leading to selfdual solutions with Q = 1 topological charge (the equivalent of the regular BPST ansatz) can be engineered, but in that case the gauge field and the curvature are not Hermitian (although the resulting Lagrangian is real). © 2001 Published by Elsevier Science B.V.

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