Observing long color flux tubes in SU(2) lattice gauge theory

Abstract

We present results of a high statistics study of the chromo field distribution between static quarks in SU(2) gauge theory on lattices of volumes 16 4 , 32 4 , and 48 3 × 64, with physical extent ranging from 1.3 fm up to 2.7 fm at β = 2.5, β = 2.635, and β = 2.74. We establish string formation over physical distances as large as 2 fm. The results are tested against Michael's sum rules. A detailed investigation of the transverse action and energy flux tube profiles is provided. As a by-product, we obtain the static lattice potential in unpreceded accuracy.

Comparison of gluon flux-tube distributions for quark-diquark and quark-antiquark hadrons

“…Recently we investigated the formation of flux tubes in static baryon systems on the lattice using a high statistics approach which enabled us to observe correlations between the vacuum action density and the quark positions in a gauge independent manner [9]. Such a study is similar to the investigations found in [10][11][12][13][14]. In that work the three quarks were positioned approximately equidistant, and a Y-shaped flux tube was observed to form at large interquark distances.…”

Introductory lectures to large- QCD phenomenology and lattice results

“…While the fact that at large N confining flux tubes can be modelled very well in terms of an effective, low-energy bosonic string model [120,121], the existence of such string-like behavior is by no means a feature that characterizes only the large-N limit. On the contrary, it appears to be quite a generic phenomenon in confining gauge theories, having been observed also in SU(N) gauge theories for N = 2 or 3 [122][123][124], as well as in the confining, strong-coupling phase of compact U(1) gauge theory [125] and in gauge theories based on exceptional gauge groups [126]. However, there are intriguing theoretical arguments suggesting that a very simple effective string model could become exact in the 't Hooft limit [120].…”

Interactions of multiquark states in the chromodielectric model

“…Different sets of parameters were given that reproduce the Cornell potential for a qq-pair and simultaneously the profile of the color electric string. The Cornell potential was found in heavy quarkonium spectroscopy [53][54][55][56] and was reproduced on the lattice both in SU(2) [21] and in SU(3) [39] and is given by…”

“…In [17][18][19] a description of qq-strings was given, and in [20] the parameters of the CDM were adjusted to reproduce results of lattice calculations [21,22]. In the same work, the flux tube structure of a baryon like qqq-bag has been studied.…”