Operator Product Expansions and Consistency Relations in a O(N) Invariant Fermionic CFT for 2<d<4
High Energy Physics - Theory
2009-10-30 v1
Abstract
A conformally invariant theory of Majorana fermions in 2<d<4 with O(N) symmetry is studied using Operator Product Expansions and consistency relations based on the cancellation of shadow singularities. The critical coupling G_{*} of the theory is calculated to leading order in 1/N. This value is then used to reproduce the O(1/N) correction for the anomalous dimension of the fermion field as evidence for the validity of our approach to conformal field theory in d>2.
Keywords
Cite
@article{arxiv.hep-th/9602054,
title = {Operator Product Expansions and Consistency Relations in a O(N) Invariant Fermionic CFT for 2<d<4},
author = {Anastasios C. Petkou},
journal= {arXiv preprint arXiv:hep-th/9602054},
year = {2009}
}
Comments
13 pages, Latex