首页|Is Yang-Mills theory unitary in fractional spacetime dimensions?

Is Yang-Mills theory unitary in fractional spacetime dimensions?

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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.

gauge field theoriesfield theories in dimensions other than fourrenormalization

Qingjun Jin、Ke Ren、Gang Yang、Rui Yu

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Graduate School of China Academy of Engineering Physics,Beijing 100193,China

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

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

School of Physical Science and Technology,Inner Mongolia University Hohhot 010021,China

Beijing Computational Science Research Center,Beijing 100193,China

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National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaChinese Academy of SiencesHPC Cluster of the Institute of Theoretical Physics,Chinese Academy o f Sciences

121752911193501312047503YSBR-1011TP-CAS

2024

10.1007/s11433-024-2370-6

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
年,卷(期)：2024.67(7)