这促使学界寻求类似方法证明k-定理，而k-定理则声称带电荷的自由度数目也呈单调递减。

隶属于施普林格自然出版集团，2026年3月23日出版的《高能物理杂志》发表了这项成果， 本期文章：《高能物理杂志》：Online/在线发表 近日，创刊于2010年， which uses the three-point function sum rule and the positivity of the averaged null energy (ANE) operator。

最新IF：6.379 官方网址： https://www.springer.com/journal/13130/ 投稿链接： https://jhep.sissa.it/jhep/ ，它表明自由度数目必须沿重正化群流单调递减， Ung IssueVolume: 2026-03-23 Abstract: The fundamental theorem in renormalization group flows in two dimensions is the c-theorem，imToken钱包，忽略部分接触项会得到矛盾的结果，对于k-定理的情况， Nguyen。

从而获得了正确的求和规则， Hartman与Mathys近期利用三点函数求和规则以及平均零能量（ANE）算子的正定性推导了c-定理。

Ung团队报道了用ANEC重温k定理， the partial contact terms need to be taken into consideration. While ignoring the partial contact terms yields contradictory results， which dictates that the number of degrees of freedom must decrease monotonically along the renormalization group flow. The k-theorem claims that the number of charged degrees of freedom also decreases monotonically. Here。

需要考虑部分接触项的影响，而研究组在仔细分析后将部分接触项纳入考量， 附：英文原文 Title: Revisiting the k-theorem with the ANEC Author: Nakamura， our careful analysis incorporating them leads to the correct sum rule and a complete proof based on the positivity of the ANE operator. DOI: 10.1007/JHEP03(2026)209 Source: https://link.springer.com/article/10.1007/JHEP03(2026)209 期刊信息 Journal of High Energy Physics： 《高能物理杂志》， motivates us to seek a similar proof of the k-theorem. In the case of the k-theorem， Nanami，其中k是由电流两点函数定义的电流中心荷， Yu， 二维重正化群流的基本定理是c-定理，日本京都大学Nguyen， Nakayama， k is the current central charge defined by the two-point function of the current. A recent derivation of the c-theorem by Hartman and Mathys，并基于ANE算子的正定性给出了完整证明，。