A non-renormalization theorem in gapped quantum field theory
T Shacham - Journal of High Energy Physics, 2013 - Springer
Journal of High Energy Physics, 2013•Springer
A bstract We discuss the two-point functions of the U (1) current and energy-momentum
tensor in certain gapped three-dimensional field theories, and show that at zero momentum,
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 does not receive quantum …
tensor in certain gapped three-dimensional field theories, and show that at zero momentum,
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 does not receive quantum …
Abstract
We discuss the two-point functions of the U (1) current and energy-momentum tensor in certain gapped three-dimensional field theories, and show that at zero momentum, 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 does not receive quantum corrections.
Springer
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