On the Wilson-Fisher fixed point in the limit of integer spacetime dimensions (opens in new tab)

arXiv:2601.19977v1 Announce Type: cross Abstract: The Wilson-Fisher fixed point defines a continuous family of interacting conformal field theories in non-integer dimensions. In integer dimensions, it is widely believed to lie in the same universality class as the critical Ising model. In this work, we revisit the identification between the Wilson-Fisher fixed point at integer dimensions and the Ising CFT. We argue that a literal equality between the two theories is incompatible with the eme...