Optimized renormalization group flows

Litim, Daniel F (2001) Optimized renormalization group flows. Physical Review D, 64 (10). p. 105007. ISSN 1550-2368

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Abstract

We study the optimization of exact renormalization group (ERG) flows. We explain why the convergence of approximate solutions towards the physical theory is optimized by appropriate choices of the regularization. We consider specific optimized regulators for bosonic and fermionic fields and compare the optimized ERG flows with generic ones. This is done up to second order in the derivative expansion at both vanishing and nonvanishing temperature. We find that optimized flows at finite temperature factorize. This corresponds to the disentangling of thermal and quantum fluctuations. A similar factorization is found at second order in the derivative expansion. The corresponding optimized flow for a proper-time renormalization group is also provided to leading order in the derivative expansion. [DOI: 10.1103/PhysRevD.64.105007]

Item Type: Article
Additional Information: Conceptual studies of modern renormalisation group techniques. Optimisation ideas are introduced and worked out in various examples. These techniques have become a world-wide standard in this community, also influencing developments in neighbouring fields. It has accrued over 90 citations.
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
Subjects: Q Science > QC Physics
Depositing User: Daniel Litim
Date Deposited: 06 Feb 2012 21:12
Last Modified: 10 Mar 2017 18:50
URI: http://sro.sussex.ac.uk/id/eprint/30208

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