Continuous renormalization group function from lattice simulations
Autor: | Oliver Witzel, Anna Hasenfratz |
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Jazyk: | angličtina |
Rok vydání: | 2020 |
Předmět: |
Physics
Quantum chromodynamics Finite volume method 010308 nuclear & particles physics High Energy Physics::Lattice Extrapolation Fixed point Renormalization group 01 natural sciences High Energy Physics - Phenomenology High Energy Physics - Lattice Lattice (order) 0103 physical sciences Statistical physics Balanced flow 010306 general physics Scaling |
Zdroj: | Physical Review |
Popis: | We present a real-space renormalization group transformation with continuous scale change to calculate the continuous renormalization group $\beta$ function in non-perturbative lattice simulations. Our method is motivated by the connection between Wilsonian renormalization group and the gradient flow transformation. It does not rely on the perturbative definition of the renormalized coupling and is also valid at non-perturbative fixed points. Although our method requires an additional extrapolation compared to traditional step scaling calculations, it has several advantages which compensates for this extra step even when applied in the vicinity of the perturbative fixed point. We illustrate our approach by calculating the $\beta$ function of 2-flavor QCD and show that lattice predictions from individual lattice ensembles, even without the required continuum and finite volume extrapolations, can be very close to the result of the full analysis. Thus our method provides a non-perturbative framework and intuitive understanding into the structure of strongly coupled systems, in addition to being complementary to existing lattice determinations. Comment: 6 pages, 6 figures; v2 matching version published in Phys.Rev.D |
Databáze: | OpenAIRE |
Externí odkaz: |
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