Scale without Conformal Invariance: An Example

Details Scale without Conformal Invariance: An Example Scale without Conformal Invariance: An Example

2011-06-13

arxiv.org/abs/1106.2540v2

Phys.Lett.B704:74-80,2011

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, 2 figures, corrected statements, conclusion unchanged

Scientific paper

10.1016/j.physletb.2011.08.060

We give an explicit example of a model in D=4-epsilon space-time dimensions that is scale but not conformally invariant, is unitary, and has finite correlators. The invariance is associated with a limit cycle renormalization group (RG) trajectory. We also prove, to second order in the loop expansion, in D=4-epsilon, that scale implies conformal invariance for models of any number of real scalars. For models with one real scalar and any number of Weyl spinors we show that scale implies conformal invariance to all orders in perturbation theory.

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