Hot Conformal Gauge Theories

Understand

We compute the nonzero temperature free energy up to the order g^6 \ln(1/g) in the coupling constant for vector like SU(N) gauge theories featuring matter transforming according to different representations of the underlying gauge group.

• The number of matter fields, i.e.
• flavors, is arranged in such a way that the theory develops a perturbative stable infrared fixed point at zero temperature.
• Due to large distance conformality we trade the coupling constant with its fixed point value and define a reduced free energy which depends only on the number of flavors, colors and matter representation.