Pointlike Hopf Defects in Abelian Projections

@article{Bruckmann2000PointlikeHD,
  title={Pointlike Hopf Defects in Abelian Projections},
  author={Falk Bruckmann},
  journal={arXiv: High Energy Physics - Theory},
  year={2000},
  pages={209-212}
}
  • F. Bruckmann
  • Published 1 December 2000
  • Mathematics
  • arXiv: High Energy Physics - Theory
We present a new kind of defect in Abelian Projections, stemming from pointlike zeros of second order. The corresponding topological quantity is the Hopf invariant pi_3(S^2) (rather than the winding number pi_2(S^2) for magnetic monopoles). We give a visualisation of this quantity and discuss the simplest non-trivial example, the Hopf map. Such defects occur in the Laplacian Abelian gauge in a non-trivial instanton sector. For general Abelian projections we show how an ensemble of Hopf defects… 

Figures from this paper

References

SHOWING 1-8 OF 8 REFERENCES

The Geometry of Physics

Preface Part I. Manifolds, Tensors and Exterior Forms: 1. Manifolds and vector fields 2. Tensors and exterior forms 3. Integration of differential forms 4. The Lie derivative 5. The Poincare Lemma

Modern geometry--methods and applications

The first € price and the £ and $ price are net prices, subject to local VAT. Prices indicated with * include VAT for books; the €(D) includes 7% for Germany, the €(A) includes 10% for Austria.

High Energy Physics

High Energy PhysicsVol. 1. Edited by E. H. S. Burhop. (Pure and Applied Physics; a Series of Monographs and Textbooks. Vol. 25.) Pp. xi + 499. (New York: Academic Press, Inc.; London: Academic Press,

Nucl. Phys. B

  • Nucl. Phys. B
  • 1981

Nucl. Phys. B

  • Nucl. Phys. B
  • 2001

hep-th/9909004. hopf: submitted to World Scientific on February 1

  • hep-th/9909004. hopf: submitted to World Scientific on February 1
  • 2000

hep-th/9705176, and references therein

  • hep-th/9705176, and references therein