Abstract
We present an algorithm to evaluate Matsubara sums for Feynman diagrams composed of bare Green's functions with single-band dispersions and local Hubbard interaction vertices. The algorithm provides an exact construction of the analytic result for the frequency integrals of a diagram that can then be evaluated for all parameters , temperature , chemical potential , external frequencies, and internal/external momenta. This method allows for symbolic analytic continuation of results to the real frequency axis, avoiding any ill-posed numerical procedure. This method can also be used to simultaneously evaluate diagrams throughout the entire phase space of Hubbard-like models even in the limit at minimal computational expense.
- Received 20 September 2018
- Revised 18 December 2018
DOI:https://doi.org/10.1103/PhysRevB.99.035120
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