Current theme: Integrable systems
Scale without Conformal Invariance in Dipolar Ferromagnets
byAleix Gimenez-Grau
Abstract:It is a common belief that isotropic ferromagnets, when tuned to their critical temperature, can be described by an RG fixed point in the universality class of the Heisenberg model. Although this is often a good approximation, ferromagnets always contain dipolar interactions, which lead to a different fixed point called the dipolar fixed point. In this talk, we point out that the dipolar fixed point is a field theory which is scale but not conformal invariant. We show that this dipolar field theory enjoys a shift symmetry, which is responsible for the lack of conformal invariance and explains the non-renormalization of the virial current. In fact, we observe that shift symmetry is the mechanism behind all other currently known models which are scale but not conformal invariant.