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Scalar spectral functions from the spectral fRG

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arxiv 2303.16719 v1 pith:OONOAGAD submitted 2023-03-29 hep-th hep-ph

Jan Horak , Friederike Ihssen , Jan M. Pawlowski , Jonas Wessely , Nicolas Wink This is my paper
classification hep-thhep-ph
keywords spectralfunctionsapproachcorrelationfunctionalrenormalisationresultsscalar
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abstract

We compute non-perturbative spectral functions in a scalar $\phi^4$-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.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Quantum critical fan and emergent relativistic symmetry of two-dimensional Dirac semimetals

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    A functional-RG calculation maps the chiral Ising Gross-Neveu-Yukawa phase diagram, confirming emergent relativistic symmetry at the quantum critical point and 2D Ising behavior at the finite-temperature transition.

  2. Self-consistent graviton spectral function in Lorentzian quantum gravity

    hep-th 2025-07 conditional novelty 6.0 of 10

    A self-consistent spectral renormalisation group computation yields a positive, normalizable graviton spectral function with a massless pole and a multi-graviton continuum decaying as 1/(λ² log³ λ²).

  3. Critical scaling for spectral functions

    hep-th 2025-06 conditional novelty 5.0 of 10

    A spectral renormalisation group computation extracts the anomalous dimension eta ~ 0.1 for 2+1-dimensional phi^4 theory in the scaling regime, within a truncated approximation.

  4. A beginner's guide to functional methods in particle physics

    hep-ph 2025-10 accept novelty 1.0 of 10

    A pedagogical review showing how Dyson-Schwinger, 3PI, and Bethe-Salpeter equations can be chained together to compute glueball masses in pure Yang-Mills theory, matching lattice QCD.

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