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arXiv · hep-lat/0008017

Gauge invariant Z_2 vortex vacuum textures and the SU(2) gluon condensate

K. Langfeld·E. -M. Ilgenfritz·H. Reinhardt
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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.

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K. Langfeld, E. -M. Ilgenfritz, H. Reinhardt. 2001-04-03. Gauge invariant Z_2 vortex vacuum textures and the SU(2) gluon condensate. https://doi.org/10.1016/s0550-3213(01)00217-6

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