论文标题
QCD样理论中的六膜幅度
Six-meson amplitude in QCD-like theories
论文作者
论文摘要
我们在类似于QCD的理论框架内计算出低能的相对论六膜散射幅度，并在手性计数中以$ n $变性的Quark风味在近代领先的顺序下进行。我们讨论复杂，真实和伪真实表示的情况，即使用全球对称和破坏模式$ \ text {su}（n）\ times \ times \ text {su}（n）/\ text {su} {su} {n）$ $ \ text {su}（2n）/\ text {sp}（2n）$。如果是一颗射击的部分，我们根据风味和群体结构以10个六烯类亚尺寸获得分析表达式。我们在$ \ text {o}（n+1）/\ text {o}（n）$ nonlinear sigma模型的框架内获得的先前结果扩展，其中$ n $是梅森风味的数量。这项工作允许研究一环水平上六粒子振幅的许多特性。
We calculate the relativistic six-meson scattering amplitude at low energy within the framework of QCD-like theories with $n$ degenerate quark flavors at next-to-leading order in the chiral counting. We discuss the cases of complex, real and pseudo-real representations, i.e. with global symmetry and breaking patterns $\text{SU}(n)\times\text{SU}(n)/\text{SU}(n)$ (extending the QCD case), $\text{SU}(2n)/\text{SO}(2n)$, and $\text{SU}(2n)/\text{Sp}(2n)$. In case of the one-particle-irreducible part, we obtain analytical expressions in terms of 10 six-meson subamplitudes based on the flavor and group structures. We extend on our previous results obtained within the framework of the $\text{O}(N+1)/\text{O}(N)$ non-linear sigma model, with $N$ being the number of meson flavors. This work allows for studying a number of properties of six-particle amplitudes at one-loop level.
