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arXiv:0707.1427·v1·High Energy Physics — Phenomenology

Analytic perturbation theory versus 1/N expansion in the Gross-Neveu model

Alexander A. Osipov🇷🇺 · Brigitte Hiller🇵🇹 · Alex H. Blin🇵🇹

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Abstract

The 1/N expansion can be successfully used to calculate the Green functions of the two-dimensional O(2N) Gross - Neveu model. In parallel, the methods of analytic perturbation theory are also applied. Comparing the results of these two calculations at leading order, we report on the surprising agreement between them.

Comments: Latex, 3 figures, 4 pages

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