The DOI matches its Crossref record; 38 of the 38 references it cites were found in a registry or an index.
Optimized renormalization group flows
Open accessAbstract
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.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
On gauge invariance and vacuum polarization
Schwinger, J. (1951) · Physical Review · doi:10.1103/physrev.82.664 · Cited by 7,116
Higher transcendental functions
Hammer, C. (1954) · Journal of the Franklin Institute · doi:10.1016/0016-0032(54)90080-0 · Cited by 6,211
The renormalization group and the ε expansion
Wilson, K. (1974) · Physics Reports · doi:10.1016/0370-1573(74)90023-4 · Cited by 5,179
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
Renormalization and effective lagrangians
Polchinski, J. (1984) · Nuclear Physics B · doi:10.1016/0550-3213(84)90287-6 · Cited by 1,510
Infrared singularities and massive fields
Appelquist, T., & Carazzone, J. (1975) · Physical Review D · doi:10.1103/physrevd.11.2856 · Cited by 1,441
THE EXACT RENORMALIZATION GROUP AND APPROXIMATE SOLUTIONS
MORRIS, T. R. (1994) · International Journal of Modern Physics A · doi:10.1142/s0217751x94000972 · Cited by 1,064
Stevenson, P. M. (1981) · Physical Review D · doi:10.1103/physrevd.23.2916 · Cited by 1,053
Renormalization Group Equation for Critical Phenomena
Wegner, F. J., & Houghton, A. (1973) · Physical Review A · doi:10.1103/physreva.8.401 · Cited by 732
Flow‐equations for Hamiltonians
Wegner, F. (1994) · Annalen der Physik · doi:10.1002/andp.19945060203 · Cited by 694
Cited by
The 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
Investigating the ultraviolet properties of gravity with a Wilsonian renormalization group equation
Codello, A., Percacci, R., & Rahmede, C. (2009) · Annals of Physics · doi:10.1016/j.aop.2008.08.008 · Cited by 538
QCD phase structure at finite temperature and density
Fu, W.-J., Pawlowski, J. M., & Rennecke, F. (2020) · Physical Review D · doi:10.1103/physrevd.101.054032 · Cited by 367
Further evidence for asymptotic safety of quantum gravity
Falls, K., Litim, D., Nikolakopoulos, K., & Rahmede, C. (2016) · Physical Review D · doi:10.1103/physrevd.93.104022 · Cited by 220
Self-citation
Metadata
- Authors
- Litim, D. F.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2001-10-12
- Volume
- 64
- Issue
- 10
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W2109933107
- Cited by
- 784
- References
- 38
- FWCI
- 7.46
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Optimized renormalization group flows. https://app.cochat.ai/papers/10.1103/physrevd.64.105007
- The paper
- Litim, D. F. (2001). Optimized renormalization group flows. Physical Review D. https://doi.org/10.1103/physrevd.64.105007
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
