title: Generalized Wilson-Fisher Critical Points from the Conformal Operator Product Expansion.
abstract: We study possible smooth deformations of the generalized free conformal field theory 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 nontrivial order in the ε 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.
authors.affiliation: Dipartimento di Fisica, Universita di Torino and Istituto Nazionale di Fisica Nucleare-sezione di Torino Via P. Giuria 1 I-10125 Torino, Italy.
authors.forename: Ferdinando
authors.initials: F
authors.lastname: Gliozzi
authors.affiliation: Department of Physics, Faculty of Science, Chulalongkorn University, Thanon Phayathai, Pathumwan, Bangkok 10330, Thailand.|I.N.F.N. Sezione di Roma Tor Vergata, Via della Ricerca Scientifica 00133 Roma, Italy.
authors.forename: Andrea L
authors.initials: AL
authors.lastname: Guerrieri
authors.affiliation: Institute of Theoretical Physics, Aristotle University of Thessaloniki, Thessaloniki 54124, Greece.
authors.forename: Anastasios C
authors.initials: AC
authors.lastname: Petkou
authors.affiliation: Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, California 91125, USA.|Mani L. Bhaumik Institute for Theoretical Physics, Department of Physics and Astronomy, UCLA, Los Angeles, California 90095, USA.|I.N.F.N. Sezione di Roma Tor Vergata, Via della Ricerca Scientifica 00133 Roma, Italy.
authors.forename: Congkao
authors.initials: C
authors.lastname: Wen