# Spin-charge separation, conformal covariance and the SU(2) Yang–Mills theory

@article{Faddeev2006SpinchargeSC, title={Spin-charge separation, conformal covariance and the SU(2) Yang–Mills theory}, author={Ludvig Dmitrievich Faddeev and Antti J. Niemi}, journal={Nuclear Physics}, year={2006}, volume={776}, pages={38-65} }

## 34 Citations

### On spacetime rotation invariance, spin-charge separation and SU(2) Yang–Mills theory

- Physics
- 2009

Previously, it has been shown that in a spin-charge separated SU(2) Yang–Mills theory, (Euclidean) spacetime rotation invariance can be broken by an infinitesimal 1-cocycle that appears in the SO(4)…

### The gluon condensate in an effective SU(2) Yang–Mills theory

- PhysicsInternational Journal of Modern Physics A
- 2019

We make progress towards a derivation of a low energy effective theory for SU(2) Yang–Mills theory. This low energy action is computed to 1-loop using the renormalization group technique, taking…

### The Grassmannian sigma model in SU(2) Yang–Mills theory

- Physics
- 2007

Spin–charge separation in pure SU(2) Yang–Mills theory was recently found to involve the dynamics of an O(3) nonlinear sigma model and, seemingly, a Grassmannian nonlinear sigma model. In this paper…

### WEYL GROUP, CP AND THE KINK-LIKE FIELD CONFIGURATIONS IN THE EFFECTIVE SU(3) GAUGE THEORY

- Physics
- 2011

Effective Lagrangian for Yang-Mills gauge fields invariant under the standard space-time and local gauge SU(3) transformations is considered. It is demonstrated that a set of twelve degenerated…

### Magnetic monopoles in pure $SU (2)$ Yang–Mills theory with a gauge-invariant mass

- PhysicsProgress of Theoretical and Experimental Physics
- 2018

In this paper, we show the existence of magnetic monopoles in the pure $SU(2)$ Yang--Mills theory even in absence of scalar fields when the gauge-invariant mass term is introduced. This result…

### U(1) effective confinement theory from SU(2) restricted gauge theory via the Julia–Toulouse approach

- Physics
- 2011

### Wilson loop and magnetic monopole through a non-Abelian Stokes theorem

- Physics
- 2008

I show that the Wilson loop operator for the SU(N) Yang-Mills gauge connection is exactly rewritten in terms of conserved gauge-invariant magnetic and electric currents through a non-Abelian Stokes…

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