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Critical exponent $ω$ in the Gross-Neveu-Yukawa model at $O(1/N)$ (1707.05275v2)

Published 17 Jul 2017 in hep-th and cond-mat.str-el

Abstract: The critcal exponent $\omega$ is evaluated at $O(1/N)$ in $d$-dimensions in the Gross-Neveu model using the large $N$ critical point formalism. It is shown to be in agreement with the recently determined three loop $\beta$-functions of the Gross-Neveu-Yukawa model in four dimensions. The same exponent is computed for the chiral Gross-Neveu and non-abelian Nambu-Jona-Lasinio universality classes.

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