Calculating the jet quenching parameter in the plasma of NCYM theory from gauge/gravity duality

Understand

A particular decoupling limit of non-extremal (D1, D3) brane bound state system of type IIB string theory is known to give the gravity dual of space-space non- commutative Yang-Mills (NCYM) theory at finite temperature.

• We use a string probe in this background to compute the jet quenching parameter in the strongly coupled plasma of hot non-commutative Yang-Mills theory in (3+1)-dimensions from gauge/gravity duality.
• We give the expressions for the jet quenching parameter for both small and large non-commutativity.
• For small non-commutativity, we find that the value of the jet quenching parameter gets reduced from its commutative value.