Date:
Tue, 05/03/201312:00-13:00
Location:
White Dove Conference Hall at Neve-Shalom
A Non-Renormalization Theorem in Three Dimensional Quantum Field Theory:
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.
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.