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arXiv 1007.0237hep-thhep-phmath-phmath.MP
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具有四个分支和无限多个环路的指数抑制

Exponential suppression with four legs and an infinity of loops

David J. Broadhurst, Andrei I. Davydychev

摘要:

无质量φ ^[3]理论的L-圈四点梯形图在所有四条腿都离壳时是有限的,并且是用阶数从L到2L的多项式给出的。我们得到的线性戴森-施温格方程的精确解,总结这些梯形图,并表明,这个总和指数快速消失在强耦合。

英文摘要:

The L-loop 4-point ladder diagram of massless phi^3 theory is finite when all 4 legs are off-shell and is given in terms of polylogarithms with orders ranging from L to 2L. We obtain the exact solution of the linear Dyson-Schwinger equation that sums these ladder diagrams and show that this sum vanishes exponentially fast at strong coupling.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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