Singular Yang-Mills connections
Johan Rade (1995)
Journées équations aux dérivées partielles
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Johan Rade (1995)
Journées équations aux dérivées partielles
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Aldrovandi, R., Barbosa, A.L. (2005)
International Journal of Mathematics and Mathematical Sciences
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Jürgen Fuchs (1997)
Banach Center Publications
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The geometric description of Yang–Mills theories and their configuration space is reviewed. The presence of singularities in M is explained and some of their properties are described. The singularity structure is analysed in detail for structure group SU(2). This review is based on [28].
Munteanu, Gheorghe, Iordăchiescu, Bianca (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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Boi, Luciano (2004)
International Journal of Mathematics and Mathematical Sciences
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Palese, Marcella, Winterroth, Ekkehart
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Summary: We specialize in a new way the second Noether theorem for gauge-natural field theories by relating it to the Jacobi morphism and show that it plays a fundamental role in the derivation of canonical covariant conserved quantities. In particular we show that Bergmann-Bianchi identities for such theories hold true covariantly and canonically only along solutions of generalized gauge-natural Jacobi equations. Vice versa, all vertical parts of gauge-natural lifts of infinitesimal...
Manuel Asorey, Fernando Falceto, Jose Lopez, Gloria Luzon (1997)
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...