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Renormalised spectral flows

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arxiv 2206.10232 v3 pith:WSVCCY2T submitted 2022-06-21 hep-th hep-phnucl-th

Renormalised spectral flows

Jens Braun , Yong-rui Chen , Wei-jie Fu , Andreas Gei{\ss}el , Jan Horak , Chuang Huang , Friederike Ihssen , Jan M. Pawlowski
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Manuel Reichert Fabian Rennecke Yang-yang Tan Sebastian T\"opfel Jonas Wessely Nicolas Wink
This is my paper
classification hep-th hep-phnucl-th
keywords theoriesspectralflowsfunctionalrenormalisationfiniteflowgeneral
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We derive renormalised finite functional flow equations for quantum field theories in real and imaginary time that incorporate scale transformations of the renormalisation conditions, hence implementing a flowing renormalisation. The flows are manifestly finite in general non-perturbative truncation schemes also for regularisation schemes that do not implement an infrared suppression of the loops in the flow. Specifically, this formulation includes finite functional flows for the effective action with a spectral Callan-Symanzik cutoff, and therefore gives access to Lorentz invariant spectral flows. The functional setup is fully non-perturbative and allows for the spectral treatment of general theories. In particular, this includes theories that do not admit a perturbative renormalisation such as asymptotically safe theories. Finally, the application of the Lorentz invariant spectral functional renormalisation group is briefly discussed for theories ranging from real scalar and Yukawa theories to gauge theories and quantum gravity.

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Cited by 4 Pith papers

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