Derivative expansion and renormalisation group flows

Abstract

We study the convergence of the derivative expansion for flow equations. The convergence strongly depends on the choice for the infrared regularisation. Based on the structure of the flow, we explain why optimised regulators lead to better physical predictions. This is applied to O(N)-symmetric real scalar field theories in 3d, where critical exponents are computed for all N. In comparison to the sharp cut-off regulator, an optimised flow improves the leading order result up to 10%. An analogous reasoning is employed for a proper time renormalisation group. We compare our results with those obtained by other methods.

15 pages, 5 figures

References in corpus (4)

• Optimised Renormalisation Group Flows
• Renormalization Group Flow of Quantum Gravity in the Einstein-Hilbert Truncation
• Ultraviolet Fixed Point and Generalized Flow Equation of Quantum Gravity
• Proper time regulator and Renormalization Group flow

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