Computation of thep6order low-energy constants with tensor sources
Computation of thep6order low-energy constants with tensor sources
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DOI：
10.1103/physrevd.87.094014
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发表时间：
2012-03
影响因子：
5
通讯作者：
Shao-Zhuo Jiang;Qing Wang
中科院分区：
文献类型：
--
作者：
Shao-Zhuo Jiang;Qing Wang
本文给出了两味和三味赝标介子的p^4 $和p^6 $阶手征拉格朗日量低能常数的计算结果。这是我们以前在没有张量源的情况下对夸克自能$\Sigma（p^2）$进行类似计算的工作的推广，基于低能有效拉格朗日量的第一性原理推导和用一些粗略近似计算低能常数。借助于部分积分和一些特殊的关系，我们发现文献中出现的一些p^6 $阶张量源算子是相互关联的.这样就剩下98个独立的项用于$n$-风味，92个独立的项用于三风味，65个独立的项用于两风味。我们还发现，具有张量源的奇本征宇称手征拉格朗日量不能独立地存在于低能展开的任何阶中。
We present the results of calculations of the $p^4$ and $p^6$ order low-energy constants for the chiral Lagrangian with tensor sources for both two and three flavors of pseudoscalar mesons. This is a generalization of our previous work on similar calculations without tensor sources in terms of the quark self-energy $\Sigma(p^2)$, based on the first principle derivation of the low-energy effective Lagrangian and computation of the low-energy constants with some rough approximations. With the help of partial integration and some epsilon relations, we find that some $p^6$ order operators with tensor sources appearing in the literature are related to each other. That leaves 98 independent terms for $n$-flavor, 92 terms for three-flavor, and 65 terms for two-flavor cases. We also find that the odd-intrinsic-parity chiral Lagrangian with tensor sources cannot independently exist in any order of low-energy expansion.