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Optimisation of the exact renormalisation group
Open accessAbstract
Abstract A simple criterion to optimise coarse-grainings for exact renormalisation group equations is given. It is aimed at improving the convergence of approximate solutions of flow equations. The optimisation criterion is generic, as it refers only to the coarse-grained propagator at vanishing field. In physical terms, it is understood as an optimisation condition for amplitude expansions. Alternatively, it can be interpreted as the requirement to move poles of threshold functions away from the physical region. The link to expansions in field amplitudes is discussed as well. Optimal parameters are given explicitly for a variety of different coarse-grainings. As a by-product it is found that the sharp cut-off regulator does not belong to the class of such optimal coarse-grainings, which explains the poor convergence of amplitude expansions based on it.
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Citations
Cites
Exact evolution equation for the effective potential
Wetterich, C. (1993) · Physics Letters B · doi:10.1016/0370-2693(93)90726-x · Cited by 2,272
Cited by
Aspects of the functional renormalisation group
Pawlowski, J. M. (2007) · Annals of Physics · doi:10.1016/j.aop.2007.01.007 · Cited by 885
Optimized renormalization group flows
Litim, D. F. (2001) · Physical Review D · doi:10.1103/physrevd.64.105007 · Cited by 784
Self-citationThe nonperturbative functional renormalization group and its applications
Dupuis, N., Canet, L., Eichhorn, A., Metzner, W., Pawlowski, J. M., Tissier, M., & Wschebor, N. (2021) · Physics Reports · doi:10.1016/j.physrep.2021.01.001 · Cited by 660
Keldysh field theory for driven open quantum systems
Sieberer, L. M., Buchhold, M., & Diehl, S. (2016) · Reports on Progress in Physics · doi:10.1088/0034-4885/79/9/096001 · Cited by 568
Fixed Points of Quantum Gravity
Litim, D. F. (2004) · Physical Review Letters · doi:10.1103/physrevlett.92.201301 · Cited by 506
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Metadata
- Authors
- Litim, D. F.
- Venue
- Physics Letters B
- Publisher
- Elsevier BV
- Published
- 2000-07
- Volume
- 486
- Issue
- 1-2
- Pages
- 92-99
- ISSN
- 0370-2693 (ISSN-L)
- OpenAlex
- W2063208030
- Cited by
- 529
- References
- 1
- FWCI
- 5.92
- Type
- journal article
- Language
- en
- Open access
- green
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