2022/05/18 by Ubaid Tantary, Tantary, Ubaid, Jens O. Andersen +5
Engineering · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Particle accelerators and beam dynamics #Physics of Superconductivity and Magnetism #Superconducting Materials and Applications
paper · pdf · doi:10.48550/arxiv.2205.09177
openalex publication_date 2022/05/18 · openalex created_date 2022/05/23 · openalex updated_date 2026/07/28
At finite temperature the free energy density of \cal N=4 supersymmetric Yang-Mills can be calculated using resummed perturbation theory through the order λ5/2. Effective field theory methods provide a useful alternative approach to streamline these calculations. In this proceedings contribution, I review recent work with my collaborators where we used effective field theory methods to calculate the free energy density of \cal N=4 supersymmetric Yang-Mills in four spacetime dimensions through second order in the 't Hooft coupling λ. At this order the contributions to the free energy density come from the hard scale T and the soft scale √λT. The contribution from the scale T enters through the coefficients in the effective Lagrangian obtained by dimensional reduction and the effects of the scale gT can be calculated using perturbative methods in the effective theory.