Journal ArticleDOI
Linking Numbers, Spin, and Statistics of Solitons
Frank Wilczek,A. Zee +1 more
TLDR
In this paper, the spin and statistics of solitons in the (2 + 1)- and (3 + 1) nonlinear sigma models are considered. And for the 3 + 1 dimensions, the usual spin-statistics relation is demonstrated, using the linking-number interpretation of the Hopf invariant and the use of suspension.Abstract:
The spin and statistics of solitons in the (2 + 1)- and (3 + 1)-dimensional nonlinear sigma models is considered. For the (2 + 1)-dimensional case, there is the possibility of fractional spin and exotic statistics; for 3 + 1 dimensions, the usual spin-statistics relation is demonstrated. The linking-number interpretation of the Hopf invariant and the use of suspension considerably simplify the analysis.read more
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Journal ArticleDOI
Dirac quantization of a nonminimal gauged O(3) sigma model
TL;DR: In this paper, the (2+1) dimensional gauged O(3) nonlinear sigma model with Chern-Simons term is canonically quantized and a nonminimal coupling in this model implemented by means of a Pauli-type term is studied.
Journal ArticleDOI
Topological connection between the hydrogen atom and a non-linear field in four dimensions
TL;DR: In this article, the Kustaanheimo-Steifel transformation is used to transform the coulomb problem and the Skyrme model from three-dimensional space into conformally flat Riemmannian space.
Journal ArticleDOI
Statistical nature of Skyrme-Faddeev models in $2+1$ dimensions and normalizable fermions
TL;DR: In this paper, the authors studied the spectral flow of the normalizable fermions coupled with the Skyrme-Faddeev model and discussed whether the statistical nature of solitons can be explained using their constituents, i.e., the quarks.
Journal ArticleDOI
Strong coupling limit of Chern Simons theories on the 3 sphere
Antoine Coste,Michel Makowka +1 more
TL;DR: In this article, the authors compute partition functions and propagators of Abelian gauge fields on S3 and discuss reduction of topologically massive QED to the pure Chern Simons model when electric charge is large.
Journal ArticleDOI
Kinetic energy driven stripe formation and pairing in repulsive electronic systems
Marco Bosch,Zohar Nussinov +1 more
TL;DR: Zohar et al. as discussed by the authors study repulsive Hubbard and t − J type systems on a square lattice and demonstrate that the holes are self-consistently localized on stripes.