Gauge invariant Z_2 vortex vacuum textures and the SU(2) gluon condensate
arXiv:hep-lat/0008017 · doi:10.1016/S0550-3213(01)00217-6
Abstract
For SU(2) lattice gauge theory, a new SO(3) cooling procedure is proposed which removes the SU(2)/Z(2) coset fields from the lattice configurations and reveals a Z(2) vortex vacuum texture different from the P-vortex content obtained in the maximal center gauge. Cooling can be restricted in a renormalization group invariant way by a parameter controlling the remaining SO(3) action density. A gauge invariant Z(2) vortex vacuum emerges asymptotically if cooling is not restricted. This ``vortex texture'' does not support the string tension or a finite part of it. The SU(2) action density associated with the new Z(2) vortex texture has a smooth extrapolation to the continuum limit. We propose an interpretation as a mass dimension four condensate related to the gluon condensate featuring in the operator product expansion.
26 pages, 8 figures, completely revised version
References in corpus (10)
- Computation of the Vortex Free Energy in SU(2) Gauge Theory
- P-vortices, nexuses and effects of gauge copies
- P-Vortices, Gauge Copies, and Lattice Size
- Center-vortex dominance after dimensional reduction of SU(2) lattice gauge theory
- The Gribov Ambiguity for Maximal Abelian and Center Gauges in SU(2) Lattice Gauge Theory
- Field strength correlators in the instanton gas: The importance of the two-instanton contribution
- Center vortices in MCG - finite-size and gauge-copy effects
- Vortex dominance of the 0+ and 2+ glueball mass in SU(2) lattice gauge theory
- The Stefan-Boltzmann law: SU(2) versus SO(3) lattice gauge theory
- The non-Abelian dual Meissner effect as color-alignment in SU(2) lattice gauge theory