Optimized renormalization group flows

By D. Litim. 2001

629 citations recorded by the source corpus.

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]

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/13237993b9d5fb4e1ac7ae13cfacae7308212134

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In Astronomy and Astrophysics

1. A. Eichhorn
2. L. Canet
3. Juergen A. Dietz
4. W. Metzner
5. N. Dupuis
6. Jan M. Pawlowski
7. T. Morris
8. M. Tissier

In Nuclear and High Energy Physics

1. A. Eichhorn
2. W. Metzner
3. M. Tissier
4. N. Dupuis
5. N. Wschebor
6. L. Canet
7. Jan M. Pawlowski
8. M. Buchhold

Citations in the corpus

• Functional renormalization group approach to correlated fermion systems (2011, background): “In particular, regulator functions of the form (Litim, 2001) RΛ(k) = −ZΛ[sgn(ξk)Λ − ξk]Θ(Λ− |ξk”
• Keldysh field theory for driven open quantum systems (2015, background): “In fact, by choosing the following optimized form of the cutoff function [278, 279] (which obviously satisfies the requirements stated in Eqs.”