qq̄potential at finiteT, and weak coupling inN=4SUSY

Abstract

We compute the potential between a qq color-singlet state for N = 4 SU SY with gauge group SU (N ) at finite temperature T , large distances rT ≫ 1 and weak coupling g. As a first step, we only consider the electric modes and compute the Debye mass m D where we find that each of the 8(N 2 − 1) bosonic degrees of freedom contributes to m 2 D (on average) with N N 2 −1 1 6 g 2 T 2 while each of the 8(N 2 − 1) fermionic degrees of freedom contributes (on average) with. Then, motivated by results obtained in the literature from both the weak coupling results in QCD and the large coupling investigations of N = 4 SU SY through AdS/CF T , we attempt to include magnetic mode corrections. Our results illustrate that for this particular computation N = 4 SU SY is in a striking qualitative agreement with QCD. *

Multiplicities from black-hole formation in heavy-ion collisions

“…• We have constructed exact shock solutions, with non-trivial transverse distributions and point-like bulk sources, and have computed the entropy of the trapped surface (see table 3). Inserting an energy-independent UV cut-off (see fifth column of table 3), and choosing a ≈ 1 in the first line 23 , results in S ∼ ( √ s) 1/2 (see also (7.3a)). The particular energy dependence seems to describe RHIC data as equations (8.4), (8.6) and figures 3 and 4 suggest.…”

“…There is another special geometry 1 These works refer to the AdS 5 geometry whose dual theory is the N = 4 sYM and not QCD. References [21,22,23] review the similarities and differences of the two gauge theories. The works [21,22,24,25] discuss the recent development in the field of applications of AdS/CFT in QCD.…”

Gravity dual corrections to the heavy quark potential at finite-temperature

“…It was further suggested in [16] that the singlet potential at large-r T , for which the solution corresponding to the hanging string configuration becomes complex, may be obtained by analytically continuing the solution into complex domain. Such analytic continuation led to an absorptive potential which had both real and imaginary parts, with the real part falling off as a power of r at very large-r, in some similarity to the weak-coupling perturbative results [19][20][21][22][23][24][25]. The issues associated with different definitions of the heavy quark potential are presented below in Sec.…”