Renormalised spectral flows
Jens Braun, Yong-rui Chen, Wei-jie Fu, Andreas Geißel, Jan Horak, Chuang Huang, Friederike Ihssen, Jan M. Pawlowski, Manuel Reichert, Fabian Rennecke, Yang-yang Tan, Sebastian Töpfel, Jonas Wessely, Nicolas Wink
SciPost Phys. Core 6, 061 (2023) · published 4 September 2023
- doi: 10.21468/SciPostPhysCore.6.3.061
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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.
Cited by 12
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 3 Jens Braun,
- 4 Yong-rui Chen,
- 4 Wei-jie Fu,
- 2 Andreas Geißel,
- 5 Jan Horak,
- 4 Chuang Huang,
- 5 Friederike Ihssen,
- 3 5 Jan M. Pawlowski,
- 6 Manuel Reichert,
- 1 7 Fabian Rennecke,
- 4 Yang-yang Tan,
- 2 Sebastian Töpfel,
- 5 Jonas Wessely,
- 2 Nicolas Wink
- 1 Helmholtz Research Academy Hesse for FAIR
- 2 Technische Universität Darmstadt / Technical University of Darmstadt [TU Darmstadt]
- 3 ExtreMe Matter Institute [EMMI]
- 4 大连理工大学 / Dalian University of Technology [DUT]
- 5 Ruprecht-Karls-Universität Heidelberg / Heidelberg University
- 6 University of Sussex
- 7 Justus Liebig-Universität Gießen / University of Giessen [JLU]
- Bundesministerium für Bildung und Forschung / Federal Ministry of Education and Research [BMBF]
- Deutsche Forschungsgemeinschaft / German Research FoundationDeutsche Forschungsgemeinschaft [DFG]
- ExtreMe Matter Institute, GSI Helmholtzzentrum für Schwerionenforschung
- GSI Helmholtzzentrum für Schwerionenforschung
- Goethe-Universität Frankfurt am Main
- Hessisches Ministerium für Wissenschaft und Kunst / Hessian Ministry for Science and the Arts [HMWK]
- Justus Liebig Universität Gießen
- National Natural Science Foundation of China [NSFC]
- Science and Technology Facilities Council [STFC]
- Studienstiftung des Deutschen Volkes (through Organization: Studienstiftung des deutschen Volkes / German National Academic Foundation)
- Technische Universität Darmstadt