Lightcone effective Hamiltonians and RG flows
Lightcone effective Hamiltonians and RG flows
复制标题
Lightcone 有效哈密顿量和 RG 流
DOI：
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发表时间：
2018
影响因子：
5.4
通讯作者：
Matthew T. Walters
中科院分区：
文献类型：
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作者：
A. Fitzpatrick;J. Kaplan;J. Kaplan;J. Kaplan;E. Katz;L. Vitale;Matthew T. Walters;Matthew T. Walters
我们给出了包含零模效应的有效光锥(LC)哈密顿量的公式，重点讨论了由相关算符变形的共形场论(CFT)的情况。我们展示了该公式如何解决LC量子化的一些问题，包括i)真空的明显非重整化，ii)等时与LC量子化中裸参数临界值的差异，以及iii)CFT中大N与简单ADS对偶的不一致。我们描述了LC量子化如何极大地简化应用于一些大的N个CFT的哈密顿截断方法，并讨论了该规定如何确定这些简化发生在哪里的理论。我们在许多例子中演示和检查我们的处方。
A bstractWe present a prescription for an effective lightcone (LC) Hamiltonian that includes the effects of zero modes, focusing on the case of Conformal Field Theories (CFTs) deformed by relevant operators. We show how the prescription resolves a number of issues with LC quantization, including i) the apparent non-renormalization of the vacuum, ii) discrepancies in critical values of bare parameters in equal-time vs LC quantization, and iii) an inconsistency at large N in CFTs with simple AdS duals. We describe how LC quantization can drastically simplify Hamiltonian truncation methods applied to some large N CFTs, and discuss how the prescription identifies theories where these simplifications occur. We demonstrate and check our prescription in a number of examples.