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Determination of bilocal field in GCM theory and calculation of some properties of mesons
Authors:Xiaofu Lü  Yuxin Liu  Enguang Zhao
Institution:(1) Department of Physics, Sichuan University, 610064 Chengdu, China;(2) Institute of Theoretical Physics, Chinese Academy of Sciences, 100080 Beijing, China;(3) Department of Physics, Peking University, 100871 Beijing, China;(4) Institute of Theoretical Physics, Chinese Academy of Sciences, 100080 Beijing, China;(5) Institute of Theoretical Physics, Chinese Academy of Sciences, 100080 Beijing, China
Abstract:Through theoretical derivation, the vacuum configuration of the bilocal field in GCM is equivalent to dynamical mass of quarks. Under the approximation of instanton dilute liquid. an analytical expression for the vacuum configuration is obtained. Based on it, the decay constants and masses of π and σ mesons are calculated. The results are much more improved than those given by the previous GCM calculations. Project supported by the National Natural Science Foundation of China and the Chinese Academy of Sciences.
Keywords:quantum chromodynamics  GCM theory  bilocal field  vacuum configuration meson property
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