We apply the Functional Renormalization Group analysis to Tensor Field Theory (TFT) endowed with both local and nonlocal degrees of freedom and in the cyclic “melonic” truncation. For simplicity, we concentrate on the so-called local potential approximation without inspecting the flow of the wave function renormalization. A notion of effective dimension deff = d+(r−1)/ζ is identified from the dimension of our configuration space ℝd×Gr where G is a compact Lie group and ζ is one of our theory parameters. The compact dimensions vanish along the flow yielding, in the IR limit, deff = d. This positively allows phase transition in TFT as soon as d > 2. Due to the richness of the TFT model, we examine the phase structure of sundry limiting situations.
This video was produced by the University of Münster, as part of the workshop From perturbative to non-perturbative QFT.
