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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