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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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
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_03702693_v515_n1-2_p206_Correa
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spelling todo:paper_03702693_v515_n1-2_p206_Correa2023-10-03T15:28:51Z Comments on the U (2) noncommutative instanton Correa, D.H. Lozano, G. Moreno, E.F. Schaposnik, F.A. article calculation cosmological phenomena elementary particle mathematical analysis space theory time 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03702693_v515_n1-2_p206_Correa
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic article
calculation
cosmological phenomena
elementary particle
mathematical analysis
space
theory
time
spellingShingle article
calculation
cosmological phenomena
elementary particle
mathematical analysis
space
theory
time
Correa, D.H.
Lozano, G.
Moreno, E.F.
Schaposnik, F.A.
Comments on the U (2) noncommutative instanton
topic_facet article
calculation
cosmological phenomena
elementary particle
mathematical analysis
space
theory
time
description 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.
format JOUR
author Correa, D.H.
Lozano, G.
Moreno, E.F.
Schaposnik, F.A.
author_facet Correa, D.H.
Lozano, G.
Moreno, E.F.
Schaposnik, F.A.
author_sort Correa, D.H.
title Comments on the U (2) noncommutative instanton
title_short Comments on the U (2) noncommutative instanton
title_full Comments on the U (2) noncommutative instanton
title_fullStr Comments on the U (2) noncommutative instanton
title_full_unstemmed Comments on the U (2) noncommutative instanton
title_sort comments on the u (2) noncommutative instanton
url http://hdl.handle.net/20.500.12110/paper_03702693_v515_n1-2_p206_Correa
work_keys_str_mv AT correadh commentsontheu2noncommutativeinstanton
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AT morenoef commentsontheu2noncommutativeinstanton
AT schaposnikfa commentsontheu2noncommutativeinstanton
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