High Energy Seminar: "The Re-emergance of Spontaneously Broken Space-time Symmetries without Goldstones or Inverse Higgs"
In this talk I will discuss how broken space-time symmetries can emerge in the IR after being spontaneously broken in the UV, even though there may be no Goldstone bosons. Given that there has been a large body of work on trying to get space-time symmetry (e.g. Lorentz) to be emergent in the IR via an RG attractive basin, this may seem like a very surprising and non-generic result. However, I will show that in the context of Fermi liquid theory it is quite natural, and even required to preserve Fermi liquid behavior as the existence of Goldstone bosons (in this case they would be non-derivative coupled) would lead to shortened life-times for quasi-particles. I will also consider the spontaneous breaking of Schrodinger symmetry whose emergence (with no dilaton) in the IR leads to very strong constraints on Fermi liquids at unitarity.