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- W2783705899 abstract "We present an approximation scheme of the nonperturbative renormalization group that preserves the momentum dependence of correlation functions. This approximation scheme can be seen as a simple improvement of the local potential approximation (LPA) where the derivative terms in the effective action are promoted to arbitrary momentum-dependent functions. As in the LPA, the only field dependence comes from the effective potential, which allows us to solve the renormalization-group equations at a relatively modest numerical cost (as compared, e.g., to the Blaizot--Mend'ez-Galain--Wschebor approximation scheme). As an application we consider the two-dimensional quantum O($N$) model at zero temperature. We discuss not only the two-point correlation function but also higher-order correlation functions such as the scalar susceptibility (which allows for an investigation of the ``Higgs'' amplitude mode) and the conductivity. In particular, we show how, using Pad'e approximants to perform the analytic continuation $i{ensuremath{omega}}_{n}ensuremath{rightarrow}ensuremath{omega}+i{0}^{+}$ of imaginary frequency correlation functions $ensuremath{chi}(i{ensuremath{omega}}_{n})$ computed numerically from the renormalization-group equations, one can obtain spectral functions in the real-frequency domain." @default.
- W2783705899 created "2018-01-26" @default.
- W2783705899 creator A5005605484 @default.
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- W2783705899 date "2018-05-16" @default.
- W2783705899 modified "2023-10-05" @default.
- W2783705899 title "Nonperturbative renormalization-group approach preserving the momentum dependence of correlation functions" @default.
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- W2783705899 doi "https://doi.org/10.1103/physrevb.97.174514" @default.
- W2783705899 hasPublicationYear "2018" @default.
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