Model independent approach to studies of the confining dual Abrikosov vortex inSU(2)lattice gauge theory

Abstract

We address the problem of determining the type I, type II or borderline dual superconductor behavior in maximal Abelian gauge SU (2) through the study of the dual Abrikosov vortex. We find that significant electric currents in the simulation data call into question the use of the dual Ginzburg Landau Higgs model in interpreting the data. Further, two definitions of the penetration depth parameter take two different values. The splitting of this parameter into two is intricately connected to the existence of electric currents. It is important in our approach that we employ definitions of flux and electric and magnetic currents that respect Maxwell equations exactly for lattice averages independent of lattice spacings. Applied to specific Wilson loop sizes, our conclusions differ from those that use the dual GLH model.

Chromoelectric flux tubes and coherence length in QCD

“…It is worthwhile to note that our Eqs. (17), (18) are not in agreement with the recent determinations in Ref. [53], where it is reported λ = 0.2013(174) fm and κ = 1.218(109).…”

Chromoelectric flux tubes in QCD

“…Moreover, in Ref. [16] it was found that the inverse penetration length µ exhibits approximate scaling with the string tension σ, leading to µ/ √ σ = 4.04 (18), based on a numerical study on lattices 16 4 , 20 4 and 24 4 with poor statistics (20-100 configurations). Assuming √ σ = 420 MeV, this amounts to have a penetration length λ = 0.118(5) fm, in good agreement with the results obtained in Ref.…”

“…In particular, Monte Carlo simulations can produce samples of vacuum configurations that can be used to get insight into the non-perturbative sector of QCD. Tube-like structures emerge by analyzing the chromoelectric field between static quarks [3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19]. Such tube-like structures naturally lead to linear potential and consequently to a "phenomenological" understanding of color confinement.…”

QCD flux tubes across the deconfinement phase transition

“…Indeed, Monte Carlo simulations produce samples of vacuum configurations that, in principle, contain all the relevant information on the nonperturbative sector of QCD. A wealth of numerical analyses in QCD has firmly established that the chromoelectric field between a static quark-antiquark pair distributes in tubelike structures or "flux tubes" [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. From these tubelike structures a linear potential between static color charges naturally arises, thus representing a numerical evidence of color confinement.…”