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

1993/02/09 by Wei Chen, Chen, Wei, Yuri Makeenko +3
Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #cond-mat #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9302029

10pp, text and figures both in latex, UBCTP-92-34

arxiv created 1993/02/09 · arxiv updated 2009/11/30

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 ψψ to order 1/N2.

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