TY - JOUR
T1 - The simple center projection of SU(2) gauge theory
AU - Bakker, B. L.G.
AU - Veselov, A. I.
AU - Zubkov, M. A.
N1 - Funding Information:
We are grateful to V.G. Bornyakov, M.N. Chernodub, and M.I. Polikarpov for useful discussions. A.I.V. and M.A.Z. kindly acknowledge the hospitality of the Department of Physics and Astronomy of the Vrije Universiteit, where part of this work was done. This work was partly supported by the grants RFBR 99-01-01230, INTAS 96-370.
PY - 2001/1/4
Y1 - 2001/1/4
N2 - We consider the SU(2) lattice gauge model. We propose a new gauge invariant definition of center projection, which we call the Simple Center Projection. We demonstrate the center dominance, i.e., the coincidence of the projected potential with the full potential up to the mass renormalization term at low energies. We also consider the center vortices and the center monopoles (nexuses). It turns out that the behavior of such objects qualitatively coincides with the behavior of the vortices and monopoles in the Maximal Center gauge. The connection of the condensation of nexuses with the dual superconductor theory is discussed. Numerically the procedure of extracting the center vortices proposed in this Letter is much simpler than the usual Maximal Center Projection.
AB - We consider the SU(2) lattice gauge model. We propose a new gauge invariant definition of center projection, which we call the Simple Center Projection. We demonstrate the center dominance, i.e., the coincidence of the projected potential with the full potential up to the mass renormalization term at low energies. We also consider the center vortices and the center monopoles (nexuses). It turns out that the behavior of such objects qualitatively coincides with the behavior of the vortices and monopoles in the Maximal Center gauge. The connection of the condensation of nexuses with the dual superconductor theory is discussed. Numerically the procedure of extracting the center vortices proposed in this Letter is much simpler than the usual Maximal Center Projection.
UR - http://www.scopus.com/inward/record.url?scp=0035804303&partnerID=8YFLogxK
U2 - 10.1016/S0370-2693(00)01343-5
DO - 10.1016/S0370-2693(00)01343-5
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AN - SCOPUS:0035804303
SN - 0370-2693
VL - 497
SP - 159
EP - 164
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 1-2
ER -