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arXiv 0809.3236hep-phhep-thnucl-th
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手征对数驯服

Chiral Logarithms Tamed

N. Kivel, M. V. Polyakov, A. Vladimirov

摘要:

我们推导出非线性递归关系的主导手征矩阵(LLS)。这些关系不仅提供了一种非常有效的计算LL的方法(例如,在PC上在十几秒内计算出33个循环的贡献),而且还为我们提供了一个强大的工具来求和LL。我们的方法不仅限于手征微扰理论,它适用于任何不可重整化的有效场论,例如临界现象理论,低能量子引力等。

英文摘要:

We derive non-linear recursion relations for the leading chiral logarithms (LLs). These relations not only provide a very efficient method of computation of LLs (e.g. the 33-loop contribution is calculated in a dozen of seconds on a PC) but also equip us with a powerful tool for the summation of the LLs. Our method is not limited to the chiral perturbation theory only, it is pertinent for any non-renormalizable effective field theory such as, for instance, the theory of critical phenomena, the low-energy quantum gravity, etc.

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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