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We compute non-perturbative spectral functions in a scalar $\phi^4$-theory inthree spacetime dimensions via the spectral functional renormalisation group.This approach allows for the direct, manifestly Lorentz covariant computationof correlation functions in Minkowski spacetime, including a physical on-shellrenormalisation. We present numerical results for the spectral functions of thetwo- and four-point correlation functions for different values of the couplingparameter. These results agree very well with those obtained from anotherfunctional real-time approach, the spectral Dyson-Schwinger equation.

Scalar spectral functions from the spectral fRG