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引用次数: 0
摘要
我们继续[1]用现代 S 矩阵引导方法开辟大 N 约束规理论空间的计划,最终目标是占领大 N QCD。在本文中,我们聚焦于与背景电磁场耦合的无质量小离子的有效场论。我们推导了编码在 2 → 2 粒子和光子散射振幅系统中的全套正向性约束。这个系统探测了更多的中间介子态,因此对错综复杂的大 N 选择规则非常敏感,尤其是在补充了雷格理论的预期之后。它还可以获得手性反常系数。我们发现了以 rho 质量为单位的几种威尔逊系数比率的新数值边界。通过将手性反常与微观理论相匹配,我们还推导出了包含明确 N 依赖性的边界。
Bootstrapping pions at large N. Part II. Background gauge fields and the chiral anomaly
We continue the program [1] of carving out the space of large N confining gauge theories by modern S-matrix bootstrap methods, with the ultimate goal of cornering large N QCD. In this paper, we focus on the effective field theory of massless pions coupled to background electromagnetic fields. We derive the full set of positivity constraints encoded in the system of 2 → 2 scattering amplitudes of pions and photons. This system probes a larger set of intermediate meson states, and is thus sensitive to intricate large N selection rules, especially when supplemented with expectations from Regge theory. It also has access to the coefficient of the chiral anomaly. We find novel numerical bounds on several ratios of Wilson coefficients, in units of the rho mass. By matching the chiral anomaly with the microscopic theory, we also derive bounds that contain an explicit N dependence.
期刊介绍:
The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal.
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