费米子展开式的一些改进的非微扰界
Some improved nonperturbative bounds for Fermionic expansions
摘要：
我们重新考虑Gram-Hadamard界，因为它被用于建设性的量子场论和多体物理证明费米微扰展开的收敛性。我们的方法使用了一个递归的扩展幅度，最初发现由Djokic arXiv：1312.1185。它从一个新的角度解释了限制膨胀的标准方法，并为某些振幅提供了新的界限，避免了使用傅里叶变换，因此优于冷相互作用费米气体等模型的标准界限。
英文摘要：
We reconsider the Gram-Hadamard bound as it is used in constructive quantum field theory and many body physics to prove convergence of Fermionic perturbative expansions. Our approach uses a recursion for the amplitudes of the expansion, discovered originally by Djokic arXiv:1312.1185. It explains the standard way to bound the expansion from a new point of view, and for some of the amplitudes provides new bounds, which avoid the use of Fourier transform, and are therefore superior to the standard bounds for models like the cold interacting Fermi gas.
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。
