论文标题

nnnlo的手性扰动理论

Chiral Perturbation Theory at NNNLO

论文作者

Hermansson-Truedsson, Nils

论文摘要

手性扰动理论是在低能量下量子染色体动力学的成功有效的现场理论。有效的拉格朗日是按动量$ p^2 $的订单系统地构建的,直到现在,已研究了领先的订单(LO),近代领先订单(NLO),近代到临时的领先顺序(NNLO)和近代到next to-next to-next to-next-to-next to Leader Order(nnnlo)。在以下综述中,我们考虑了拉格朗日人的构建,尤其是专注于NNLO案例。另外,我们以相同的顺序进行审查并讨论pion质量和衰减常数,这是学习手性扰动理论的基本数量。由于Lagrangian中的大量术语以及在NNNLO产生的低能常数,因此对这种有效的田间理论的预测性提出了一些评论。

Chiral perturbation theory is a much successful effective field theory of quantum chromodynamics at low energies. The effective Lagrangian is constructed systematically order by order in powers of the momentum $p^2$, and until now the leading order (LO), next-to leading order (NLO), next-to-next-to leading order (NNLO) and next-to-next-to-next-to leading order (NNNLO) have been studied. In the following review we consider the construction of the Lagrangian and in particular focus on the NNNLO case. We in addition review and discuss the pion mass and decay constant at the same order, which are fundamental quantities to study for chiral perturbation theory. Due to the large number of terms in the Lagrangian and hence low energy constants arising at NNNLO, some remarks are made about the predictivity of this effective field theory.

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