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

Citation
K. Langfeld et al., Gauge invariant Z(2) vortex vacuum textures and the SU(2) gluon condensate, NUCL PHYS B, 608(1-2), 2001, pp. 125-144
Citations number
62
Categorie Soggetti
Physics
Journal title
NUCLEAR PHYSICS B
ISSN journal
05503213 → ACNP
Volume
608
Issue
1-2
Year of publication
2001
Pages
125 - 144
Database
ISI
SICI code
0550-3213(20010806)608:1-2<125:GIZVVT>2.0.ZU;2-Z
Abstract
For SU(2) lattice gauge theory, a new SO(3) cooling procedure is proposed w hich removes the SU(2)/Z(2) coset fields from the lattice configurations an d 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 renorm alization group invariant way by a parameter controlling the remaining SO(3 ) action density. A gauge invariant Z(2) vortex vacuum emerges asymptotical ly if cooling is not restricted. This "vortex texture" does not support the string tension a or a finite part of it. The SU(2) action density associat ed with the new Z(2) vortex texture has a smooth extrapolation to the conti nuum Emit. We propose an interpretation as a mass dimension four condensate related to the gluon condensate featuring in the operator product expansio n. (C) 2001 Elsevier Science B.V. All rights reserved.