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  • Stichting SciPost  (2)
  • Braun, Jens  (2)
  • 1
    In: SciPost Physics Core, Stichting SciPost, Vol. 6, No. 3 ( 2023-09-04)
    Abstract: 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.
    Type of Medium: Online Resource
    ISSN: 2666-9366
    Language: Unknown
    Publisher: Stichting SciPost
    Publication Date: 2023
    detail.hit.zdb_id: 3071450-3
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  • 2
    Online Resource
    Online Resource
    Stichting SciPost ; 2019
    In:  SciPost Physics Vol. 6, No. 5 ( 2019-05-09)
    In: SciPost Physics, Stichting SciPost, Vol. 6, No. 5 ( 2019-05-09)
    Abstract: Low-energy effective theories have been used very successfully to study the low-energy limit of QCD, providing us with results for a plethora of phenomena, ranging from bound-state formation to phase transitions in QCD. These theories are consistent quantum field theories by themselves and can be embedded in QCD, but typically have a physical ultraviolet cutoff that restricts their range of validity. Here, we provide a discussion of the concept of renormalization group consistency, aiming at an analysis of cutoff effects and regularization-scheme dependences in general studies of low-energy effective theories. For illustration, our findings are applied to low-energy effective models of QCD in different approximations including the mean-field approximation. More specifically, we consider hot and dense as well as finite systems and demonstrate that violations of renormalization group consistency affect significantly the predictive power of the corresponding model calculations.
    Type of Medium: Online Resource
    ISSN: 2542-4653
    Language: Unknown
    Publisher: Stichting SciPost
    Publication Date: 2019
    detail.hit.zdb_id: 2886659-9
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