Scalar spectral functions from the spectral fRG

Abstract

We compute non-perturbative spectral functions in a scalar ϕ4\phi^4-theory in three spacetime dimensions via the spectral functional renormalisation group. This approach allows for the direct, manifestly Lorentz covariant computation of correlation functions in Minkowski spacetime, including a physical on-shell renormalisation. We present numerical results for the spectral functions of the two- and four-point correlation functions for different values of the coupling parameter. These results agree very well with those obtained from another functional real-time approach, the spectral Dyson-Schwinger equation.Comment: 22 pages, 13 figure

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