1302.3630 (Tomer Shacham)

A Non-Renormalization Theorem in Three Dimensional Quantum Field Theory    [PDF]

Tomer Shacham

We discuss the two-point functions of the U(1) current and energy-momentum tensor in certain gapped three-dimensional field theories. We show that the parity-odd part in both of these correlation functions is one-loop exact. In particular, we find a new and simplified derivation of the Coleman-Hill theorem that also clarifies several subtleties in the original argument. For the energy momentum tensor, our result means that the gravitational Chern-Simons term for the background metric is one-loop exact.

View original: http://arxiv.org/abs/1302.3630