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Keywords
(6)
Conformal Invariance
Limit Cycle
Perturbation Theory
Renormalization Group
Second Order
Space Time
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Scale without conformal invariance: An example
Scale without conformal invariance: An example,10.1016/j.physletb.2011.08.060,Physics Letters B,JeanFrançois Fortin,Benjamín Grinstein,Andreas Stergi
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Scale without conformal invariance: An example
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JeanFrançois Fortin
,
Benjamín Grinstein
,
Andreas Stergiou
We give an explicit example of a model in D=4−ϵ 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−ϵ, 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.
Journal:
Physics Letters B  PHYS LETT B
, vol. 704, no. 1, pp. 7480, 2011
DOI:
10.1016/j.physletb.2011.08.060
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