Renormalised spectral flows

Braun, Jens; Chen, Yong-rui; Fu, Wei-jie; Geißel, Andreas; Horak, Jan; Huang, Chuang; Ihssen, Friederike; Pawlowski, Jan M.; Reichert, Manuel; Rennecke, Fabian; Tan, Yang-yang; Töpfel, Sebastian; Wessely, Jonas; Wink, Nicolas

doi:10.21468/SciPostPhysCore.6.3.061

SciPost Physics Core

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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.6.3.061
TI  - Renormalised spectral flows
PY  - 2023/09/04
UR  - https://www.scipost.org/SciPostPhysCore.6.3.061
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 6
IS  - 3
SP  - 061
A1  - Braun, Jens
AU  - Chen, Yong-rui
AU  - Fu, Wei-jie
AU  - Geißel, Andreas
AU  - Horak, Jan
AU  - Huang, Chuang
AU  - Ihssen, Friederike
AU  - Pawlowski, Jan M.
AU  - Reichert, Manuel
AU  - Rennecke, Fabian
AU  - Tan, Yang-yang
AU  - Töpfel, Sebastian
AU  - Wessely, Jonas
AU  - Wink, Nicolas
AB  - 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.
ER  -

@Article{10.21468/SciPostPhysCore.6.3.061,
	title={{Renormalised spectral flows}},
	author={Jens Braun and Yong-rui Chen and Wei-jie Fu and Andreas Geißel and Jan Horak and Chuang Huang and Friederike Ihssen and Jan M. Pawlowski and Manuel Reichert and Fabian Rennecke and Yang-yang Tan and Sebastian Töpfel and Jonas Wessely and Nicolas Wink},
	journal={SciPost Phys. Core},
	volume={6},
	pages={061},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.6.3.061},
	url={https://scipost.org/10.21468/SciPostPhysCore.6.3.061},
}

Cited by 7

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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

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