一种自动正则化散射振幅的新方法

IF 1.1 Q3 PHYSICS, MULTIDISCIPLINARY Journal of Physics Communications Pub Date : 2023-10-24 DOI:10.1088/2399-6528/ad0649
Nagabhushana Prabhu
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引用次数: 0

摘要

摘要本文提出了一种新的正则化方法,称为自正则化。该方法利用过程的固有尺度对先前在散射过程中遇到的散度进行正则化。我们使用 自正则化来计算QED中几个散射过程的振幅 并将计算结果与在 较宽的动量中心能量范围(~ MeV到>200 GeV)。计算得到的振幅与实验数据吻合较好。为了验证非阿贝尔规范理论中的自正则化,我们计算了1环处的QCD耦合常数,并证明,与已知的正则化方案一样,自正则化也预测了QCD中的渐近自由。最后,我们证明了使用自正则化计算的标准模型中自由场的真空能量密度小于目前对宇宙临界密度的估计。
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A new method that automatically regularizes scattering amplitudes
Abstract We present a new regularization procedure called autoregularization.
The new procedure regularizes the divergences, encountered previously 
in a scattering process, using the intrinsic scale of the process. We use 
autoregularization to calculate the amplitudes of several scattering processes 
in QED and compare the calculations with experimental measurements over a 
broad range of center-of-momentum energies (~ MeV to > 200 GeV). The 
calculated amplitudes are found to be in good agreement with experimental data. 
To test autoregularization in a non-Abelian gauge theory, we calculate the 
QCD coupling constant at 1-loop and show that, like the known regularization
schemes, autoregularization also predicts asymptotic freedom in QCD.
Finally, we show that the vacuum energy density of the free fields in the 
Standard Model, calculated using autoregularization, is smaller than the
current estimate of the cosmic critical density.
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来源期刊
Journal of Physics Communications
Journal of Physics Communications PHYSICS, MULTIDISCIPLINARY-
CiteScore
2.60
自引率
0.00%
发文量
114
审稿时长
10 weeks
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