v4: 8 pages, 3 figures, title changed in accord to the published version (but also applies to Hermitian Hamiltonians!), Fig.3 added about the relation between the positive and the null bootstrap, footnote 19 added about the double well potential, discussion improved; v3: a new section added about ladder operators and matrix elements, minor improvements, typos corrected, references added
A stable physical system has an energy spectrum that is bounded from below. For quantum systems, the dangerous states of unboundedly low energies should decouple and become null. We propose the principle of nullness and apply it to the bootstrap study of Hermitian and non-Hermitian anharmonic oscillators.
An asymptotic bootstrap method and its applications to Hermitian matrix models
University of California, Santa Barbara（加州大学圣塔芭芭拉分校）；Institute of Physics, University of Amsterdam（阿姆斯特丹大学物理研究所）；Delta Institute for Theoretical Physics（德尔塔理论物理研究所）；Universidad Complutense de Madrid（马德里康普顿斯大学）
平坦时空中的酉洛伦兹不变量子场论服从微因果性：类空分离时，量子化子消失。对于二维以上的相互作用理论，我们证明了这意味着平均零能$\int du T_{uu}$必须是正的。这个非局部算子出现在光锥极限中局部算子的算子乘积展开中，因此对$n$ -点函数有贡献。我们得出一个总和规则，隔离这种贡献，显然是积极的。这一论证也适用于应力张量以外的某些更高自旋的算符，产生了一个$\int du X_{uuu\cdots u} \geq 0$形式的新约束的无限族。这些导致新的不等式自旋运营商的耦合常数在共形场论，其中包括作为特殊情况（但通常是强于）现有的限制，从光锥引导，深度非弹性散射，共形碰撞机方法，和相对熵。我们还评论的关系，最近推导的平均零能量条件从相对熵，并建议因果关系和信息理论的QFT不等式之间的更一般的连接。
