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Mind The Gap
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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.
Forward citations
Cited by 2 Pith papers
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Fermions and the Renormalisation Group at Large N
At large N, fermionic quantum field theories have exact effective actions depending only on flavour-singlet fermion bilinears, making the local potential approximation exact and yielding new conformal fixed points.
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Supersymmetric quantum criticality with discrete symmetry
FRG analysis of Z_n-anisotropic Gross-Neveu-Yukawa theories shows irrelevant anisotropy for n>3 yielding N=2 supersymmetric criticality and a second length scale whose exponent satisfies ν'/ν = 1 + |y_n|/2.
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