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

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

1997-11-26

arxiv.org/abs/hep-th/9711187v2

Phys.Rev. D57 (1998) 2628-2630

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, revTeX, no figures; note added

Scientific paper

10.1103/PhysRevD.57.2628

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.

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