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Geometry of SU(2) gauge fields
M. S. Narasimhan,T. R. Ramadas +1 more
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In this article, the authors studied SU(2) Yang-Mills theory from the canonical view-point, identifying the true configuration space as the base-space of a principal bundle with the gauge-group as structure group.Abstract:
We studySU(2) Yang-Mills theory onS3×ℝ from the canonical view-point. We use topological and differential geometric techniques, identifying the “true” configuration space as the base-space of a principal bundle with the gauge-group as structure group.read more
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The Yang-Mills equations over Riemann surfaces
Michael Atiyah,Raoul Bott +1 more
TL;DR: In this article, the Yang-Mills functional over a Riemann surface is studied from the point of view of Morse theory, and the main result is that this is a perfect 9 functional provided due account is taken of its gauge symmetry.
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The self-duality equations on a riemann surface
TL;DR: In this paper, the authors studied a special class of solutions of the self-dual Yang-Mills equations on Riemann surfaces and showed that the moduli space of all solutions turns out to be a manifold with an extremely rich geometric structure.
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A remark on the scattering of BPS monopoles
TL;DR: In this article, it was shown that the classical dynamics of several slowly moving monopoles corresponds to a geodesic motion in the manifold of exact, static multi-monopole configurations.
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Some Remarks on BRS Transformations, Anomalies and the Cohomology of the Lie Algebra of the Group of Gauge Transformations
Loriano Bonora,P. Cotta-Ramusino +1 more
TL;DR: In this paper, it was shown that ghosts in gauge theories can be interpreted as Maurer-Cartan forms in the infinite dimensional group of gauge transformations, and the anomalous terms encountered in the renormalization of gauge theories (triangle anomalies) as elements of these cohomology groups.
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On the bundle of connections and the gauge orbit manifold in Yang-Mills theory
P. K. Mitter,C. M. Viallet +1 more
TL;DR: In this paper, it was shown that the quotienting of the space of connections by the group of gauge transformations in Yang-Mills theory is aC fixme∞ principal fibration, and that the underlying quotient space, the gauge orbit space, is explicitly aC¯¯¯¯∞ manifold modelled on a Hilbert space.
References
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Some remarks on the Gribov ambiguity
TL;DR: In this article, the set of all connections of a principal bundle over the 4-sphere with compact nonabelian Lie group under the action of the group of gauge transformations is studied.