Two-loop HTL-resummed thermodynamics for N=4 supersymmetric Yang-Mills theory

Understand

We compute the two-loop hard-thermal-loop (HTL) resummed thermodynamic potential for N=4 supersymmetric Yang-Mills (SYM).

• Our final result is manifestly gauge-invariant and was renormalized using only simple vacuum energy, gluon mass, scalar mass, and quark mass counter terms.
• The HTL mass parameters m_D, M_D, and m_q are then determined self-consistently using a variational prescription which results in a set of coupled gap equations.
• Based on this, we obtain the two-loop HTL-resummed thermodynamic functions of N=4 SYM.