Elsevier

Nuclear Physics B

Volume 303, Issue 2, 27 June 1988, Pages 226-236
Nuclear Physics B

Scale and conformal invariance in quantum field theory

https://doi.org/10.1016/0550-3213(88)90179-4Get rights and content

Abstract

We study the relation between invariance under rigid and local changes of length scale. In two dimensions, we complete an argument of Zamolodchikov showing that the rigid invariance implies the local under broad conditions. In three or more dimensions we are unable to find either a general proof or a counterexample, but we find some new conformally invariant systems.

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    A.P. Sloan Foundation Fellow.

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