Ultraviolet renormalons in abelian gauge theories

被引:17
作者
Beneke, M
Smirnov, VA
机构
[1] UNIV MICHIGAN, RANDALL LAB PHYS, ANN ARBOR, MI 48109 USA
[2] MOSCOW MV LOMONOSOV STATE UNIV, INST NUCL PHYS, MOSCOW 119899, RUSSIA
关键词
D O I
10.1016/0550-3213(96)00205-2
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We analyze the large-order behaviour in perturbation theory of classes of diagrams with an arbitrary number of chains (i.e. photon lines, dressed by vacuum polarization insertions). We derive explicit formulae for the leading and subleading divergence as n, the order in perturbation theory, tends to infinity, and a complete result for the vacuum polarization at the next-to-leading order in an expansion in 1/N-f, where N-f is the number of fermion species. In general, diagrams with more chains yield stronger divergence. We define an analogue of the familiar diagrammatic R-operation, which extracts ultraviolet renormalon counterterms as insertions of higher-dimension operators. We then use renormalization group equations to sum the leading (ln n/N-f)(k) corrections to all orders in 1/N-f and find the asymptotic behaviour in n up to a constant that must be calculated explicitly order by order in 1/N-f.
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收藏
页码:529 / 590
页数:62
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