Non-linear non-renormalization theorems
Non-linear non-renormalization theorems
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DOI：
10.1007/jhep08(2023)080
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发表时间：
2023-03
影响因子：
5.4
通讯作者：
Weiguang Cao;F. Herzog;Tom Melia;Jasper Roosmale Nepveu
中科院分区：
文献类型：
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作者：
Weiguang Cao;F. Herzog;Tom Melia;Jasper Roosmale Nepveu
研究了量子理论中重整化群流下算子的混合问题，证明了一个非线性阶的非重整化定理。它规定了零，直到异常维度张量中的一定数量的循环，这些张量控制着，例如，六维平方到八维的算子的混合。在D= 4− 2ε维中，我们得到了质量维为8的反常维张量的最多三个环的新结果，并验证了定理预测的零点。
We study the mixing of operators under renormalization group flow in quantum theories, and prove a non-renormalization theorem at non-linear order. It dictates zeros up to a certain number of loops in anomalous dimension tensors that control, for example, the mixing of operators at order dimension six squared into dimension eight. We obtain new results at up to three loops for the mass dimension eight anomalous dimension tensor of ϕ 4 theory in D= 4− 2ε dimensions and verify the zeros predicted by the theorem.