中国科学:物理学 力学 天文学(英文版)2024，Vol.67Issue(7) ：59-64.DOI:10.1007/s11433-024-2370-6

Is Yang-Mills theory unitary in fractional spacetime dimensions?

Qingjun Jin Ke Ren Gang Yang Rui Yu
中国科学:物理学 力学 天文学(英文版)2024，Vol.67Issue(7) ：59-64.DOI:10.1007/s11433-024-2370-6
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Is Yang-Mills theory unitary in fractional spacetime dimensions?

Qingjun Jin 1Ke Ren 2Gang Yang 3Rui Yu4
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作者信息

  • 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;CAS Key Laboratory of Theoretical Physics,Institute of Theoretical Physics,Chinese Academy of Sciences,Beijing 100190,China
  • 3. CAS Key Laboratory of Theoretical Physics,Institute of Theoretical Physics,Chinese Academy of Sciences,Beijing 100190,China;School of Fundamental Physics and Mathematical Sciences,Hangzhou Institute for Advanced Study,University of Chinese Academy of Sciences,Hangzhou 310024,China;International Centre for Theoretical Physics Asia-Pacific,Hangzhou 310024,China
  • 4. CAS Key Laboratory of Theoretical Physics,Institute of Theoretical Physics,Chinese Academy of Sciences,Beijing 100190,China;School of Physical Science and Technology,Inner Mongolia University Hohhot 010021,China;Beijing Computational Science Research Center,Beijing 100193,China
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Abstract

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.

Key words

gauge field theories/field theories in dimensions other than four/renormalization

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基金项目

National Natural Science Foundation of China(12175291)

National Natural Science Foundation of China(11935013)

National Natural Science Foundation of China(12047503)

Chinese Academy of Siences(YSBR-101)

HPC Cluster of the Institute of Theoretical Physics,Chinese Academy o f Sciences(1TP-CAS)

出版年

2024
中国科学:物理学 力学 天文学(英文版)
中国科学院

中国科学:物理学 力学 天文学(英文版)

CSTPCD
影响因子：0.91
ISSN：1674-7348
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