Physics (Internal)

Revisiting Quantum Field Theory in non-integer dimensions

This event is part of the HET Seminar Series.

Abstract: Everyone knows that the Wilson-Fisher fixed point is supposed to exist continuously for any D between 2 and 4, but what is the meaning of QFT in non-integer dimensions? This question is rarely asked and the “shut up and calculate” attitude prevails. We will describe a few recent exercises in QFT in non-integer dimensions, connecting with the epsilon-expansion, conformal bootstrap, and truncated conformal space approach to massive theories. A tentative conclusion is that QFT in non-integer dimensions makes sense also non-perturbatively, although to do it properly one has to face some unexpected issues such as the lack of unitarity.