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Optimized renormalization group flows

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posted on 2023-06-08, 09:16 authored by Daniel LitimDaniel Litim
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]

History

Publication status

  • Published

File Version

  • Published version

Journal

Physical Review D

ISSN

1550-2368

Publisher

American Physical Society

Issue

10

Volume

64

Page range

105007

Pages

17.0

Department affiliated with

  • Physics and Astronomy Publications

Notes

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.

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

First Open Access (FOA) Date

2016-03-22

First Compliant Deposit (FCD) Date

2016-11-18

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