String Self-Interactions Near the Deconfinement Point in SU(3) Yang-Mills Theory

We compare the predictions of Nambu-Goto effective string model at two loop-order for the Casimir energy and the width of the quantum delocalization of the string to the corresponding quark-antiquark potential and width profile of the color tube in pure SU (3) Yang-Mills LGT at 4-dimensions near the deconfinement point. Minor corrections are returned, when considering NLO terms for both the Q ¯ Q potential and broadening of the color tube, at the temperature T/T c = 0 . 8. At a closer temperature to the critical point T/T c = 0 . 9, we found that the NLO contributions, from the expansion of the Nambu-Goto string, have a significant effect in improving the match to lattice data in the intermediate distances scales–before the string breaks in full QCD. The string’s self-interactions contributes in the suppressed broadening of the string’s width and the non-curved/squeezed profile along the string in the intermediate distance. color flux-tube, bosonic strings, Monte-Carlo methods, Nambu-Goto, L¨uscher–Weiss action, Lattice Gauge Theory