Heat kernel and Weyl anomaly of Schrödinger invariant theory
Heat kernel and Weyl anomaly of Schrödinger invariant theory
We propose a method inspired by discrete light cone quantization to determine the heat kernel for a Schr\"odinger field theory (Galilean boost invariant with $z=2$ anisotropic scaling symmetry) living in $d+1$ dimensions, coupled to a curved Newton-Cartan background, starting from a heat kernel of a relativistic conformal field theory ($z=1$) …