论文标题
具有有限功率谱的自由和相互作用的标量场理论中的Krylov复杂性
Krylov Complexity in Free and Interacting Scalar Field Theories with Bounded Power Spectrum
论文作者
论文摘要
我们研究了在有限温度下$ d $ dimensions中的自由和相互作用的大规模标量量子场理论中的操作员生长的概念。我们考虑由于扰动相互作用而产生的质量，一环自我能量的影响以及在连续动量空间中有限的紫外线截止。这些变形改变了兰开斯系数和krylov复杂性的行为，并诱导了诸如前者的“惊人”效应，将后者的指数增长率降低，并在其渐近行为中过渡。我们还讨论了质量差距的存在与惊人的财产之间的关系，以及我们在连续理论和晶格理论中的紫外线临界值之间的关系。
We study a notion of operator growth known as Krylov complexity in free and interacting massive scalar quantum field theories in $d$-dimensions at finite temperature. We consider the effects of mass, one-loop self-energy due to perturbative interactions, and finite ultraviolet cutoffs in continuous momentum space. These deformations change the behavior of Lanczos coefficients and Krylov complexity and induce effects such as the "staggering" of the former into two families, a decrease in the exponential growth rate of the latter, and transitions in their asymptotic behavior. We also discuss the relation between the existence of a mass gap and the property of staggering, and the relation between our ultraviolet cutoffs in continuous theories and lattice theories.
