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Critical behavior of the 2d scalar theory: resumming the NLO perturbative mass gap

Journal of High Energy Physics, ISSN: 1029-8479, Vol: 2021, Issue: 7
2021
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Article Description

We apply the optimized perturbation theory (OPT) to resum the perturbative series describing the mass gap of the bidimensional ϕ theory in the ℤ symmetric phase. Already at NLO (one loop) the method is capable of generating a quite reasonable non-perturbative result for the critical coupling. At order-g we obtain g = 2.779(25) which compares very well with the state of the art NLO result, g = 2.807(34). As a novelty we investigate the supercritical region showing that it contains some useful complimentary information that can be used in extrapolations to arbitrarily high orders.

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