Real-Frequency Diagrammatics with Pole Representations

arXiv:2609.26703 · cond-mat.str-el, math-ph, math.MP · Submitted 2026-09-22 · Read on arXiv

cond-mat.str-el, math-ph, math.MP

Submitted: 2026-09-22

Updated: 2026-09-22

Terminology

• Consistency — 10× in this paper · explained in 3 episodes
• Self-consistency — 10× in this paper · explained in 2 episodes
• Accuracy — 9× in this paper · explained in 1 episode
• Benchmark — 8× in this paper · explained in 2 episodes
• Algorithmic Matsubara Integration — 2× in this paper
• Frequency Dependence — 2× in this paper · explained in 2 episodes
• Generalization — 2× in this paper · explained in 13 episodes
• Hubbard Model — 2× in this paper · explained in 3 episodes
• Algorithmic Inversion Method — 1× in this paper

Sources

• Compact and Stable Representation of Real-Frequency Spectral Functions for Machine Learning
• Hyperfunction formulation of many body Green's functions and the Matsubara formalism

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