关于π-N-δ自旋-3/2规范耦合与电磁规范不变性的一致性
About consistence between pi N Delta spin-3/2 gauge couplings and electromagnetic gauge invariance
摘要：
分析了最近提出的"自旋3/2规范"与核子和π介子的Delta共振相互作用与任意辐射振幅下的基本电磁规范不变性之间的一致性。手征对称π-导数π-N-Delta耦合可以通过线性变换得到Delta-导数耦合，它具有使Delta传播子的1/2场分量解耦的性质。然而，通过在所有导数中的最小替换引入的电磁规范不变性只能在给定阶数n下通过在具有定义的功率计数的有效场论（EFT）框架内丢弃n +1阶项而不破坏自旋3/2阶来实现。此外，我们表明，沃德身份的伽玛三角洲伽玛顶点不能满足与修剪3/2传播，这应该是必要的，以保持自旋3/2规范对称性的辐射情况下的伽玛三角洲伽玛振幅。最后，它表明，辐射修正的自旋3/2规范强顶点在一个圈，重新引入常规的相互作用。
英文摘要：
We analyze the consistence between the recently proposed "spin 3/2 gauge" interaction for the Delta resonance with nucleons and pions, and the fundamental electromagnetic gauge invariance in any radiative amplitude. Chiral symmetric pion-derivative pi N Delta couplings can be substituted through a linear transformation to get Delta-derivative ones, which have the property of decoupling the 1/2 field components of the Delta propagator. Nevertheless, the electromagnetic gauge invariance introduced through minimal substitution in all derivatives, can only be fulfilled at a given order n without destroying the spin 3/2 one by dropping n+1 order terms within an effective field theory (EFT) framework with a defined power counting. In addition, we show that the Ward identity for the gamma Delta gamma vertex cannot be fulfilled with a trimmed 3/2 propagator, which should be necessary in order to keep the spin 3/2 gauge symmetry in the radiative case for the gamma Delta gamma amplitude. Finally, it is shown that radiative corrections of the spin 3/2 gauge strong vertexes at one loop, reintroduce the conventional interaction.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
