相互作用费米液体的参数截止
Parametric Cutoffs for Interacting Fermi Liquids
摘要：
我们介绍了一种新的多尺度分解的费米传播子的参数表示的基础上。我们证明了相应的切片传播子服从相同的直接空间界比以前的分解所使用的作者。因此，完全收敛贡献的非微扰界仍然成立。此外，新的切片更好地保存动量，因此应该成为一个重要的新的技术工具，严格的凝聚态系统的分析。特别是，它应该允许完成的证明，一个三维相互作用系统的费米与球形费米表面是费米液体的意义上的Salmhofer的标准。
英文摘要：
We introduce a new multiscale decomposition of the Fermi propagator based on its parametric representation. We prove that the corresponding sliced propagator obeys the same direct space bounds than the previous decomposition used by the authors. Therefore non perturbative bounds on completely convergent contributions still hold. In addition the new slicing better preserves momenta, hence should become an important new technical tool for the rigorous analysis of condensed matter systems. In particular it should allow to complete the proof that a three dimensional interacting system of Fermions with spherical Fermi surface is a Fermi liquid in the sense of Salmhofer's criterion.
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