Mind The Gap

Details Mind The Gap Mind The Gap

2001-04-25

arxiv.org/abs/hep-th/0104221v1

Int.J.Mod.Phys. A16 (2001) 2081-2088

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, Talk presented at 2nd Conference on Exact Renormalization Group (ERG2000), Rome, Italy, 18-22 Sep 2000

Scientific paper

10.1142/S0217751X01004748

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.

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