Derivative expansion and renormalization group flows

Litim, Daniel F (2001) Derivative expansion and renormalization group flows. Journal of High Energy Physics (11). 059. ISSN 1126-6708

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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.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
Subjects: Q Science > QB Astronomy
Q Science > QC Physics
Depositing User: Daniel Litim
Date Deposited: 06 Feb 2012 18:22
Last Modified: 13 Mar 2017 23:34

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