arXiv 1401.39632014-01-16hep-thhep-ph

渐近自由规范理论的约束检验

Series of Tests of a Constraint on Asymptotically Free Gauge Theories

Yair Mulian

摘要：

1999年，Thomas Appelquist，Andrew G. Cohen和Martin Schmaltz（ACS）提出了对渐近自由场论结构的一个约束。这个约束限制了在红外（$IR$）区域中渐近自由的规范理论相对于在紫外（$UV$）区域中渐近自由的规范理论的自由度的数目。在他们的论文ACS检查各种例子，超对称和非超对称，但检查只有一种情况下，相互作用的$IR$不动点与超势的情况下，赛伯对偶的$SU(N_{c})$规范理论。在这里，我们将验证两个新的情况下- $SO(N_{c})$和$Sp(2N_{c})$规范群周围的班克斯-扎克斯不动点的猜想。此外，我们的ACS不等式进行了一系列的非平凡的测试，在理论中与deltured偶然对称性的$IR$和显着不同的动力学所造成的超势变形。我们开始与$ADE$型变形，然后移动到检查三个手征理论估计其解耦不变量的手征环使用a-最大化和酉考虑。值得注意的是，我们没有发现违反ACS猜想。

英文摘要：

In 1999 Thomas Appelquist, Andrew G. Cohen, and Martin Schmaltz (ACS) proposed a constraint on the structure of asymptotically-free field theories. This constraint limits the number of degrees of freedom of asymptotically-free gauge theories in the infrared ($IR$) region relative to those in the ultra-violet ($UV$) region. In their paper ACS checked various examples, both supersymmetric and non-supersymmetric, but checked only one case of interacting $IR$ fixed point with superpotential - the case of Seiberg-dual of $SU(N_{c})$ gauge theory. Here we will verify the conjecture for two new cases - $SO(N_{c})$ and $Sp(2N_{c})$ gauge groups around the Banks-Zaks fixed points. In addition, we subject the ACS inequality to a series of nontrivial tests in theories with conjectured accidental symmetries in the $IR$ and dramatically different dynamics caused by superpotential deformations. We start with $ADE$-type deformations then move on to check three chiral theories by estimating their decoupled invariants from the chiral ring using a-maximization and unitarity considerations. Remarkably, we found no violation of the ACS conjecture.

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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英文摘要：

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