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@article{Fei2021AnalyticalCO, title={Analytical continuation of matrix-valued functions: Carath{\'e}odory formalism}, author={Jiani Fei and Chia-Nan Yeh and Dominika Zgid and Emanuel Gull}, journal={Physical Review B}, year={2021}, url={https://api.semanticscholar.org/CorpusID:235727424}}
  • Jiani Fei, Chia-Nan Yeh, E. Gull
  • Published in Physical review B 2 July 2021
  • Physics

Finite-temperature quantum field theories are formulated in terms of Green’s functions and selfenergies on the Matsubara axis. In multi-orbital systems, these quantities are related to positive semidefinite matrix-valued functions of the Carathéodory and Schur class. Analysis, interpretation and evaluation of derived quantities such as real-frequency response functions requires analytic continuation of the off-diagonal elements to the real axis. We derive the criteria under which such functions…

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