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Mind the gap
journal contributionposted on 2023-06-07, 20:51 authored by Daniel LitimDaniel Litim
We discuss an optimisation criterion for the exact renormalisation group based on the inverse effective propagator, which displays a gap. We show that a simple extremisation of the gap stabilises the flow, leading to better convergence of approximate solutions towards the physical theory. This improves the reliability of truncations, most relevant for any high precision computation. These ideas are closely linked to the removal of a spurious scheme dependence and a minimum sensitivity condition. The issue of predictive power and a link to the Polchinski RG are discussed as well. We illustrate our findings by computing critical exponents for the Ising universality class.
JournalInternational Journal of Modern Physics A
PublisherWorld Scientific Publishing
Page range2081 - 2087
Department affiliated with
- Physics and Astronomy Publications
NotesTalk given at 2nd Conference on Exact Renormalization Group, Rome, Italy, 18-22 Sep 2000.
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