Abstract
We investigate whether the beta function of the finite- 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 Padé 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.
- Received 15 December 2016
DOI:https://doi.org/10.1103/PhysRevD.95.025012
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