通过生成函数的标量量子场的微分同态

IF 1.5 Q2 PHYSICS, MATHEMATICAL
Ali Assem Mahmoud, K. Yeats
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引用次数: 3

摘要

研究了形式微分同态在标量场中的应用。我们给出了一个新的证明,相互作用的树振幅在由此产生的理论中消失。我们的证明直接在图解层面上,而不是诉诸于路径积分,并通过生成函数分析进行,因此比以前的证明更有洞察力。在此过程中,我们给出了一些贝尔多项式恒等式的新的组合证明,并评论了它们与组合勒让德变换的联系。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Diffeomorphisms of scalar quantum fields via generating functions
We study the application of formal diffeomorphisms to scalar fields. We give a new proof that interacting tree amplitudes vanish in the resulting theories. Our proof is directly at the diagrammatic level, not appealing to the path integral, and proceeds via a generating function analysis so is more insightful than previous proofs. Along the way we give new combinatorial proofs of some Bell polynomial identities, and we comment on the connection with the combinatorial Legendre transform.
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来源期刊
CiteScore
2.30
自引率
0.00%
发文量
16
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