ZEROS OF THE GELL-MANN LOW FUNCTION AND BOREL SUMMATIONS IN RENORMALIZABLE THEORIES

被引:25
作者
KHURI, NN
机构
[1] Rockefeller University, New York
关键词
D O I
10.1016/0370-2693(79)90431-3
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
A Borel type summation of perturbation series with a conformal map of the Borel variable is considered for the case where renormalon singularities are present. Application of this method to λφ4/4! field theory in four dimensions allows us to compute a sum for the Gell-Mann-Low function, β(λ), for 0 < ( λ 16π2) < 0.7. This sum has an ultraviolet stable zero of β at ( λ 16π2) = 0.41. The case of quantum electrodynamics is also briefly considered. © 1979.
引用
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页码:83 / 88
页数:6
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