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A class of two-dimensional Yang-Mills vacua and their relation to the non-linear sigma model

Classical vacuum - pure gauge - solutions of Euclidean two-dimensional SU(2) Yang-Mills theories are studied. Topologically non-trivial vacua are found in a class of gauge group elements isomorphic to $S_2$. These solutions are unexpectedly related to the solution of the non-linear O(3) model and to...

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Detalles Bibliográficos
Autores principales: Bassetto, A, Nardelli, G
Lenguaje:eng
Publicado: 1997
Materias:
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.57.2628
http://cds.cern.ch/record/339534
Descripción
Sumario:Classical vacuum - pure gauge - solutions of Euclidean two-dimensional SU(2) Yang-Mills theories are studied. Topologically non-trivial vacua are found in a class of gauge group elements isomorphic to $S_2$. These solutions are unexpectedly related to the solution of the non-linear O(3) model and to the motion of a particle in a periodic potential.