Solving the Conformal Bootstrap: Four-Fermion Interactions at 2<d<4

Chen, Wei; Makeenko, Yuri; Semenoff, Gordon W

Solving the Conformal Bootstrap: Four-Fermion Interactions at 2<d<4

Authors

Chen, Wei

Makeenko, Yuri

Semenoff, Gordon W

Description

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 $\barψψ$ to order $1/N^2$.
10pp, text and figures both in latex, UBCTP-92-34