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Generalized Wilson-Fisher critical points from the conformal OPE · Around

2016

Generalized Wilson-Fisher critical points from the conformal OPE

Gliozzi, Ferdinando, Guerrieri, Andrea, Petkou, Anastasios C. et al.

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We study possible smooth deformations of Generalized Free Conformal Field Theories in arbitrary dimensions by exploiting the singularity structure of the conformal blocks dictated by the null states.

We derive in this way, at the first non trivial order in the $\epsilon$-expansion, the anomalous dimensions of an infinite class of scalar local operators, without using the equations of motion.
In the cases where other computational methods apply, the results agree.

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J. Hofmann,
1991
Earlier work this paper cites.
Jean Zinn-Justin, “Quantum Field Theory and Critical Phenomena”. Oxford Clarendon Press - International series of monographs on physics (Oxford, England), 2002
2002
Earlier work this paper cites.
J. S. Hager,
2002
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S. El-Showk, M. F. Paulos, D. Poland, S. Rychkov, D. Simmons-Duffin and A. Vichi,
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2012
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