Chern-Simons terms as an example of the relations between mathematics and physics

Stanley Deser

Displaying similar documents to “Chern-Simons terms as an example of the relations between mathematics and physics”

Geometrical and topological foundations of theoretical physics: from gauge theories to string program.

Boi, Luciano (2004)

International Journal of Mathematics and Mathematical Sciences

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Vacuum Structure of 2+1-Dimensional Gauge Theories

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...