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}
}
  • A. Bytsko
  • Published 4 December 2000
  • Mathematics
  • Journal of High Energy Physics
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. 

Seiberg-Witten map and topology

Abstract The mapping of topologically nontrivial gauge transformations in noncommutative gauge theory to corresponding commutative ones is investigated via the operator form of the Seiberg–Witten

Ambiguities of the Seiberg–Witten Map in the Presence of Mater Field

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

Ambiguities of the Seiberg-Witten map in the presence of matter field

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

Gauge Invariance and Noncommutativity

The role of the gauge invariance in noncommutative field theory is discussed. A basic introduction to noncommutative geometry and noncommutative field theory is given. Background invariant

Magnetic fields in noncommutative quantum mechanics

We discuss various descriptions of a quantum particle on noncommutative space in a (possibly non-constant) magnetic field. We have tried to present the basic facts in a unified and synthetic manner,

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

The role of the gauge invariance in noncommutative field theory is discussed. A basic introduction to noncommutative geometry and noncommutative field theory is given. Background invariant

Relativistic effects in the processes of heavy-quark fragmentation to double-heavy baryons

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

References

SHOWING 1-10 OF 14 REFERENCES

Wilson lines on noncommutative tori

D-branes and the noncommutative torus

We show that in certain superstring compactifications, gauge theories on noncommutative tori will naturally appear as D-brane world-volume theories. This gives strong evidence that they are

Comments on gauge equivalence in noncommutative geometry

We investigate the transformation from ordinary gauge field to noncommutative one which was introduced by N. Seiberg and E. Witten (hep-th/9908142). It is shown that the general transformation which

String theory and noncommutative geometry

We extend earlier ideas about the appearance of noncommutative geometry in string theory with a nonzero B-field. We identify a limit in which the entire string dynamics is described by a minimally

∗-Trek II: ∗n operations, open Wilson lines and the Seiberg–Witten map

The Theory of Matrices

Volume 2: XI. Complex symmetric, skew-symmetric, and orthogonal matrices: 1. Some formulas for complex orthogonal and unitary matrices 2. Polar decomposition of a complex matrix 3. The normal form of

JHEP 9802:008 (1998); C

  • Chu and P. Ho, Nucl. Phys. B550 (1999) 151; V. Schomerus, JHEP 9906:030
  • 1999