the Simple Centern Projection of SU (2) Gauge Theory

B.L.G. Bakker; A.I. Veselov; M.A. Zubkov

doi:10.1016/S0370-2693(00)01343-5

the Simple Centern Projection of SU (2) Gauge Theory

B.L.G. Bakker, A.I. Veselov, M.A. Zubkov

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Abstract

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. © 2001 Published by Elsevier Science B.V.

Original language	English
Pages (from-to)	159-164
Journal	Physics Letters B
Volume	497
DOIs	https://doi.org/10.1016/S0370-2693(00)01343-5
Publication status	Published - 2001

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title = "the Simple Centern Projection of SU (2) Gauge Theory",

abstract = "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. {\textcopyright} 2001 Published by Elsevier Science B.V.",

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T1 - the Simple Centern Projection of SU (2) Gauge Theory

AU - Bakker, B.L.G.

AU - Veselov, A.I.

AU - Zubkov, M.A.

PY - 2001

Y1 - 2001

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. © 2001 Published by Elsevier Science B.V.

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. © 2001 Published by Elsevier Science B.V.

U2 - 10.1016/S0370-2693(00)01343-5

DO - 10.1016/S0370-2693(00)01343-5

M3 - Article

SN - 0370-2693

VL - 497

SP - 159

EP - 164

JO - Physics Letters B

JF - Physics Letters B

ER -

the Simple Centern Projection of SU (2) Gauge Theory

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