期刊
PHYSICAL REVIEW LETTERS
卷 126, 期 25, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.126.257001
关键词
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资金
- EPSRC [EP/P003052/1, EP/P020194/1, EP/T022213/1]
- Simons Collaboration on the Many-Electron Problem
- National Science Foundation [DMR-1720465]
- MURI Program Advanced quantum materials-a new frontier for ultracold atoms from AFOSR
- EPSRC [EP/P003052/1, EP/P020194/1] Funding Source: UKRI
The major obstacle for Feynman diagrammatic expansions to accurately solve many-fermion systems in strongly correlated regimes is the slow convergence or divergence problem. Different techniques have been proposed to address this issue, with the homotopic action providing a universal and systematic framework for unifying existing and generating new methods.
The major obstacle preventing Feynman diagrammatic expansions from accurately solving many-fermion systems in strongly correlated regimes is the series slow convergence or divergence problem. Several techniques have been proposed to address this issue: series resummation by conformal mapping, changing the nature of the starting point of the expansion by shifted action tools, and applying the homotopy analysis method to the Dyson-Schwinger equation. They emerge as dissimilar mathematical procedures aimed at different aspects of the problem. The proposed homotopic action offers a universal and systematic framework for unifying the existing-and generating new-methods and ideas to formulate a physical system in terms of a convergent diagrammatic series. It eliminates the need for resummation, allows one to introduce effective interactions, enables a controlled ultraviolet regularization of continuous-space theories, and reduces the intrinsic polynomial complexity of the diagrammatic Monte Carlo method. We illustrate this approach by an application to the Hubbard model.
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