# Singularities of the Seiberg-Witten map

@article{Bytsko2001SingularitiesOT, title={Singularities of the Seiberg-Witten map}, author={Andrei Bytsko}, journal={Journal of High Energy Physics}, year={2001}, volume={2001}, pages={020-020} }

We construct an explicit solution of the Seiberg-Witten map for a linear gauge field on the non-commutative plane. We observe that this solution as well as the solution for a constant curvature diverge when the non-commutativity parameter θ reaches certain event horizon in the θ-space. This implies that an ordinary Yang-Mills theory can be continuously deformed by the Seiberg-Witten map into a non-commutative theory only within one connected component of the θ-space.

## 8 Citations

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The ambiguities of the Seiberg-Witten map for gauge field coupled with fermionic matter are discussed. We find that only part of the ambiguities can be absorbed by gauge transformation and/or field…

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### 02 02 01 4 v 1 2 F eb 2 00 2 Gauge Invariance and Noncommutativity

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In the framework based on the quasipotential method and relativistic quark model, we investigate the heavy-quark fragmentation into double-heavy baryons with spin J = 1/2, 3/2. Adopting a two-step…

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