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arXiv 0705.0082hep-th
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大N量子色动力学QCD_4全息圈方程的精确β函数

Exact beta function from the holographic loop equation of large-N QCD_4

Marco Bochicchio

摘要:

我们构造并研究了一个先前定义的量子全息有效作用量,其临界方程在一定的正则化方案下,包含了大N量子色动力学4的平面自避免圈的全息圈方程.我们从有效作用量中提取了给定方案中的精确beta函数。对于Wilson耦合常数,β函数正好是一个环,第一个系数与微扰论中的值一致。对于正则耦合常数,精确的β函数具有NSVZ形式,前两个系数与它们在微扰理论中的值一致。

英文摘要:

We construct and study a previously defined quantum holographic effective action whose critical equation implies the holographic loop equation of large-N QCD_4 for planar self-avoiding loops in a certain regularization scheme. We extract from the effective action the exact beta function in the given scheme. For the Wilsonean coupling constant the beta function is exacly one loop and the first coefficient agrees with its value in perturbation theory. For the canonical coupling constant the exact beta function has a NSVZ form and the first two coefficients agree with their value in perturbation theory.

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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