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Spectral functions from the real-time functional renormalization group

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arxiv 2009.04194 v1 pith:6ZYWPC4O submitted 2020-09-09 hep-ph hep-thnucl-th

classification hep-phhep-thnucl-th
keywords functionsreal-timespectralcalculatedetaileddiscussfunctionalgroup
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We employ the functional renormalization group approach formulated on the Schwinger-Keldysh contour to calculate real-time correlation functions in scalar field theories. We provide a detailed description of the formalism, discuss suitable truncation schemes for real-time calculations as well as the numerical procedure to self-consistently solve the flow equations for the spectral function. Subsequently, we discuss the relations to other perturbative and non-perturbative approaches to calculate spectral functions, and present a detailed comparison and benchmark in $d=0+1$ dimensions.

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  1. 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.

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