On Calculation of 1/n Expansions of Critical Exponents in the Gross-Neveu Model with the Conformal Technique
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✦ hep-th
keywords
criticalconformalinvariancemethodexponentsmodelorderbootstrap
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A proof of critical conformal invariance of Green's functions for a quite wide class of models possessing critical scale invariance is given. A simple method for establishing critical conformal invariance of a composite operator, which has a certain critical dimension, is also presented. The method is illustrated with the example of the Gross--Neveu model and the exponents \et\ at order $1/n^3$, \Dl\ and $1/\nu$ at order $1/n^2$ are calculated with the conformal bootstrap method.
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Local CFTs extremise $F$
Local CFTs lie at the extrema of the sphere free energy tilde F for nonlocal CFT lines, and maximize it when unitary.
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