Effective quark antiquark potential in the quark gluon plasma from gravity dual models

Abstract

We estimate the effective heavy quark and antiquark potential in the quark gluon plasma using the gravity dual theory. Two models are considered: AdS 5 and Sakai-Sugimoto model. The effective potential, obtained by using the rotating fundamental open-string configurations, has the angular momentum dependence which generalizes the static central potential. For zero angular momentum case, we obtain asymptotic form of the potential for general metric n, and for both gravity dual models where n = 3, 4. The mass dependence of the potential is derived at the leading order together with its temperature dependence. Motivated by the asymptotic form for zero angular momentum state, we fit the effective potential for J = 1, 2 states in the binding region. The fitting parameters are found to be functions of temperature. Finally, we discuss the differences and similarities of the effective potential between the two gravity dual models. An interesting result is that position of the minimum of the potential is determined only by angular momentum and independent of the temperature. * oaanti02@iastate.edu †

Thermal width of quarkonium from holography

“…The effect of higher derivative corrections on the real part of the potential within the gauge/gravity duality has been done in [31,32] and it was found that the dissociation length becomes shorter with the increase of the coupling parameters of the higher curvature terms. The rotating heavy quarkonium also is studied in [33,34,35,47].…”

Rotating mesons in the presence of higher derivative corrections from gauge–string duality

“…The motion of a quark-antiquark pair through N = 4 plasma has been discussed in [23,24,25]. Several studies of rotating mesons and their related properties have been done in [26,27,28,29] by means of the AdS/CFT correspondence. In [30] rotation of a heavy test quark has been considered.…”

On meson melting in the quark medium

“…It is shown that by increasing the spin of heavy meson, the dissociation length also increases which confirms our expectation. This subject was also studied in [16,18,25]. Here, we discuss the inter-quark distance in the presence of the chemical potential.…”

“…6 Then one should study the binding energy of the rotating meson. One finds the standard calculations in [18,25]. We present the numerical results in the Fig.…”

“…This phenomena happens at special length r d which is obtained from V b (r d ) = 0. One may call r d as the screening length of heavy meson [18]. The screening length L s of a heavy quark-antiquark pair in strongly coupled gauge theory plasmas flowing at velocity v is studied in [19].…”