We present a general formalism that allows for the computation of large-order renormalized expansions, effectively doubling the numerically attainable perturbation order of renormalized Feynman diagrams. We show that this formulation compares advantageously to the currently standard techniques due to its high efficiency, simplicity, and broad range of applicability. Our formalism permits to easily complement perturbation theory with non-perturbative information, which we illustrate by implementing expansions renormalized by the addition of a gap or the inclusion of Dynamical Mean-Field Theory. As a result, we present numerically exact results for the square-lattice hole-doped Fermi-Hubbard model in the low-temperature non-Fermi-liquid regime, relevant to study the pseudogap of cuprate superconductors, and show the momentum-dependent suppression of fermionic excitations in the antinodal region.

我们提出了一种通用形式主义，该形式主义允许计算大阶重新归一化的展开，从而有效地使重新归一化的Feynman图的数值可达到的扰动阶数加倍。我们表明，由于其高效，简单和广泛的适用范围，该配方与当前的标准技术相比具有优势。我们的形式主义可以轻松地用非扰动信息来补充扰动理论，我们通过实施扩展（通过添加间隙或包含动态均场理论来重新规范化）来说明这一点。结果，我们在低温非费米液体条件下给出了方格孔掺杂费米-哈伯德模型的数值精确结果，与研究铜酸盐超导体的拟间隙有关，