A First Analysis of the Ensemble of Local Maxima of Maximal Center Gauge

被引:1
作者
Dehghan, Zeinab [1 ]
Golubich, Rudolf [2 ]
Hoellwieser, Roman [3 ]
Faber, Manfried [2 ]
机构
[1] Univ Tehran, Dept Phys, Tehran 1439955961, Iran
[2] Tech Univ Wien, Atominstitut, A-1040 Vienna, Austria
[3] Berg Univ Wuppertal, Dept Phys, D-42119 Wuppertal, Germany
关键词
quantum chromodynamics; confinement; center vortex model; vacuum structure; CENTER VORTEX MODEL; YANG-MILLS THEORY; CENTER VORTICES; CENTER DOMINANCE; INFRARED SECTOR; GRIBOV PROBLEM; CENTER REGIONS; LATTICE; CONFINEMENT; FLUX;
D O I
10.3390/universe9090389
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Maximal center gauge (MCG) aims to detect some of the most important vacuum configurations, suggesting thick magnetic flux tubes quantized to non-trivial center elements of the gauge group being responsible for confinement. Due to the NP-hardness of a global maximization of the gauge functional only numeric procedures aiming for local maxima are possible. We observe a linear decrease in the string tension with increasing gauge functional value of the local maxima. This implies that the request to get as close as possible to the absolute maximum is unattainable. We compare global properties of the ensemble of local maxima with other methods to detect center vortices and with determinations of the string tension from full configurations. This comparison indicates that the information about the number and positions of center vortices is contained in the structure of the ensemble of local maxima. This may pave the way for a future more successful formulation of the gauge condition.
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页数:11
相关论文
共 59 条
[1]   The role of center vortices in QCD [J].
Alexandrou, C ;
de Forcrand, P ;
D'Elia, M .
NUCLEAR PHYSICS A, 2000, 663 :1031C-1034C
[2]   Model of random center vortex lines in continuous 2+1-dimensional spacetime [J].
Altarawneh, Derar ;
Engelhardt, Michael ;
Hoellwieser, Roman .
PHYSICAL REVIEW D, 2016, 94 (11)
[3]   Confining bond rearrangement in the random center vortex model [J].
Altarawneh, Derar ;
Hoellwieser, Roman ;
Engelhardt, Michael .
PHYSICAL REVIEW D, 2016, 93 (05)
[4]   OBSERVING LONG COLOR FLUX TUBES IN SU(2) LATTICE GAUGE-THEORY [J].
BALI, GS ;
SCHLICHTER, C ;
SCHILLING, K .
PHYSICAL REVIEW D, 1995, 51 (09) :5165-5198
[5]  
Bertle R, 1999, J HIGH ENERGY PHYS
[6]  
Bertle R, 2000, J HIGH ENERGY PHYS
[7]   Gluon propagator on a center-vortex background [J].
Biddle, James C. ;
Kamleh, Waseem ;
Leinweber, Derek B. .
PHYSICAL REVIEW D, 2018, 98 (09)
[8]   Interrelation between monopoles, vortices, topological charge, and chiral symmetry breaking:: Analysis using overlap fermions for SU(2) [J].
Bornyakov, V. G. ;
Ilgenfritz, E. -M. ;
Mueller-Preussker, M. ;
Martemyanov, B. V. ;
Morozov, S. M. ;
Veselov, A. I. .
PHYSICAL REVIEW D, 2008, 77 (07)
[9]   P-vortices and drama of Gribov copies [J].
Bornyakov, VG ;
Komarov, DA ;
Polikarpov, MI .
PHYSICS LETTERS B, 2001, 497 (1-2) :151-158
[10]   A NOTE ON THE GENERATION OF RANDOM NORMAL DEVIATES [J].
BOX, GEP ;
MULLER, ME .
ANNALS OF MATHEMATICAL STATISTICS, 1958, 29 (02) :610-611