Is Yang-Mills theory unitary in fractional spacetime dimensions?  

作　　者：Qingjun Jin Ke Ren Gang Yang Rui Yu 

机构地区：[1]Graduate School of China Academy of Engineering Physics,Beijing 100193,China [2]School of Physics and Astronomy,Sun Yat-Sen University,Zhuhai 519082,China [3]CAS Key Laboratory of Theoretical Physics,Institute of Theoretical Physics,Chinese Academy of Sciences,Beijing 100190,China [4]School of Fundamental Physics and Mathematical Sciences,Hangzhou Institute for Advanced Study,University of Chinese Academy of Sciences,Hangzhou 310024,China [5]International Centre for Theoretical Physics Asia-Pacific,Hangzhou 310024,China [6]School of Physical Science and Technology,Inner Mongolia University,Hohhot 010021,China [7]Beijing Computational Science Research Center,Beijing 100193,China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2024年第7期59-64,共6页中国科学：物理学、力学、天文学（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.12175291,11935013,and 12047503);the Chinese Academy of Siences(Grant No.YSBR-101);the support of the HPC Cluster of the Institute of Theoretical Physics,Chinese Academy of Sciences(ITP-CAS)。

摘　　要：We present concrete evidence that Yang-Mills theory exhibits non-unitarity in non-integer spacetime dimensions.This violation of unitarity stems from evanescent operators that,while vanishing in four dimensions,are non-zero in general d dimensions.We demonstrate that these evanescent operators lead to the emergence of both negative-norm states and complex anomalous dimensions.

关 键 词：gauge field theories field theories in dimensions other than four RENORMALIZATION 

分 类 号：O41[理学—理论物理]