On the Question of a Possible Infrared Zero in the Beta Function of the Finite-$N$ Gross-Neveu Model

Gongjun Choi, Thomas Ryttov, Robert Shrock

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We investigate whether the beta function of the finite-$N$ Gross-Neveu model, as calculated up to the four-loop level, exhibits evidence for an infrared zero. As part of our analysis, we calculate and analyze Pad\'e approximants to this beta function and evaluate effects of scheme dependence. From our study, we find that in the range of coupling where the perturbative calculation of the four-loop beta function is reliable, it does not exhibit robust evidence for an infrared zero.
Original languageEnglish
Article number025012
JournalPhysical Review D
Issue number2
Number of pages10
Publication statusPublished - 2017


  • hep-th

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