论文标题
超级鉴定标量量子场理论中的非扰动红外有限性
Nonperturbative infrared finiteness in super-renormalisable scalar quantum field theory
论文作者
论文摘要
我们介绍了一项研究，该研究由三维超肾上腺素量子场理论（QFT）的IR行为，该理论由$ su（n）$的标量场组成，并具有$φ^4 $相互作用。该理论在量子水平上无质量需要裸质量。在扰动理论中，由于红外（IR）差异，临界质量是模棱两可的，我们的确发现，在晶格扰动理论的两循环中，临界质量对数分化。很久以前，[Jackiw 1980，Gopelquist 1981]猜想，超级典型的理论是非扰动的，耦合不断发挥了IR调节器的作用。利用马尔可夫链蒙特 - 卡洛对晶格登记理论的结合，无论是常见主义者和贝叶斯数据分析，以及对相应有效理论的考虑，我们收集的证据表明确实如此。
We present a study of the IR behaviour of a three-dimensional super-renormalisable quantum field theory (QFT) consisting of a scalar field in the adjoint of $SU(N)$ with a $φ^4$ interaction. A bare mass is required for the theory to be massless at the quantum level. In perturbation theory the critical mass is ambiguous due to infrared (IR) divergences and we indeed find that at two-loops in lattice perturbation theory the critical mass diverges logarithmically. It was conjectured long ago in [Jackiw 1980, Appelquist 1981] that super-renormalisable theories are nonperturbatively IR finite, with the coupling constant playing the role of an IR regulator. Using a combination of Markov-Chain-Monte-Carlo simulations of the lattice-regularised theory, both frequentist and Bayesian data analysis, and considerations of a corresponding effective theory we gather evidence that this is indeed the case.
