SOLVING THE CONFORMAL BOOTSTRAP : FOUR - FERMION INTERACTIONS AT 2 < d < 4

Abstract

We formulate the conformal bootstrap approach to four–fermion theory at its strong coupling fixed point in dimensions 2 < d < 4. We present a solution of the bootstrap equations in the five–vertex approximation. We show that the bootstrap approach gives a particularly simple way to obtain next to leading order corrections to critical exponents in the large N expansion and present the values of the anomalous dimensions of the fermion field ψ and the composite ψ̄ψ to order 1/N2.

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Cite this paper

@inproceedings{Chen1993SOLVINGTC, title={SOLVING THE CONFORMAL BOOTSTRAP : FOUR - FERMION INTERACTIONS AT 2 < d < 4}, author={Wei Chen and Yuri Makeenko and Gordon W. Semenoff}, year={1993} }