Flux tube profiles at finite temperature

Abstract

We present finite temperature results of profiles of a flux tube connecting a static qq pair. In particular, we study the behavior of the flux tube in the vicinity of the phase transition temperature. The simulations have been carried out in SU(2) gauge theory at two values of N τ on lattices with volumes 8 3 , 16 × 8 2 and 24 × 12 2. A detailed investigation of the longitudinal and transverse distribution of energy and action is presented. It has been found that the physical width of the flux tube D ε decreases strongly with temperature T , while the width of the action density increases.

Profiles, potential and string tension of the flux tube in SU(2) and SU(3) lattice gauge theories

“…In order to study how SU(2) and SU(3) gauge theories affect the results of the physical observables, firstly, we compared the longitudinal and transverse profiles of the chromoelectric and chromomagnetic components of the field strength in the flux tube. These results are displayed in Figure 1 2is approximately equal to those of SU (3). We used an error reduction method, which we called the "link integration", in our previous code based on SU(2) theory, to decrease statistical noise.…”

“…The resulting string tension values in Table 2, normalized to their zero temperature values, are shown in Figure 3. At low temperatures, the values of string tension from SU(2) theory is slightly higher than those of SU (3). But, when the temperature increases, the difference becomes negligible.…”

“…In the present work, we have performed simulations with SU(3) program and sought to determine the differences in physical observables in the results from the new SU(3) program. For this reason, we made a comparison under the condition that the simulation parameters performed in this work were similar to those of the simulations performed in the previous work [3].…”

“…We have performed simulations with the new program based on SU(3) gauge theory to see how both theories affect physical observables within flux tube. We have computed physical observables by extracting the chromoelectric and chromomagnetic components of the field strength in the flux tube from a correlation of a plaquette and the Polyakov loops as defined in the works referenced in [4,5].…”

“…However, the theory based on this group can give us a clear and important information about the interaction of a quark and an antiquark. But, the theory based on the SU (3) gauge group can express the interaction between a quark and an antiquark more precisely and completely. There are eight types of gluons that carry the interaction and eight generators of SU(3) gauge group, which correspond to them.…”