Topological charges and high dimensional instantons
V. L. Golo, M. I. Monastyrsky (1978)
Annales de l'I.H.P. Physique théorique
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V. L. Golo, M. I. Monastyrsky (1978)
Annales de l'I.H.P. Physique théorique
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Boi, Luciano (2004)
International Journal of Mathematics and Mathematical Sciences
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C. von Westenholz (1979)
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J. W. Moffat (1981)
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Michael F. Atiyah (1988)
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Jedrzej Śniatycki (1999)
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Banach Center Publications
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We analyse some non-perturbative properties of the Yang-Mills vacuum in two-dimensional spaces in the presence of Chern-Simons interactions. We show that the vacuum functional vanishes for some gauge field configurations. We have identified some of those nodal configurations which are characterized by the property of carrying a non-trivial magnetic charge. In abelian gauge theories this fact explains why magnetic monopoles are suppressed by Chern-Simons interactions. In non-abelian theories...