CoChat
Sign Up
Cited by 2,272Theoretical and Computational PhysicsParticle physics theoretical and experimental studiesQuantum Chromodynamics and Particle Interactions

Exact evolution equation for the effective potential

Open access
Wetterich, Christof·1993·Physics Letters B
DOI 10.1016/0370-2693(93)90726-x
Open this paper in CoChat — free accountOpen PDF

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.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1016/0370-2693(93)90726-x

Cites

Statistics

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.

A few free checks a day · papers already verified open instantly · results are public

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • The Bogoliubov ansatz is only justified if the ground state is macroscopically occupied, i.e., N ≫ 1, and the fluctuations δφ are regarded as small.

    “This ansatz is only justified if the ground state is macroscopically occupied, i.e., N ≫ 1 and the fluctuations δ ˆ ϕ are regarded as small.”

    From Impact of nonlinear effective interactions on group field theory quantum gravity condensates (2016) · cites this paper as [26]

  • Bogoliubov's mean field and perturbation theory becomes invalid and breaks down in the vicinity of the critical point of the phase transition because quantum fluctuations become important.

    “in the context of weakly interacting, diluted and ultracold nonrelativistic BECs [25] it is well understood that Bogoliubov's mean field and perturbation theory [26] becomes invalid and breaks down in the vicinity of the critical point of the phase transition because quantum fluctuations become important.”

    From Impact of nonlinear effective interactions on group field theory quantum gravity condensates (2016) · cites this paper as [26]

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Cites

No references could be resolved yet.

Research works printed but not linked: 14

  1. [1][1] C. Wetterich. 'Average action and the renormalization group equations'. Nuclear Physics B 352 (1991), 529. -
  2. [2][2] K. G. Wilson. 'Renormalization group and critical phenomena. I. Renormalization group and the Kadanoff scaling picture'. Physical review B 4 (1971), 3174. -
  3. [3][3] K. G. Wilson, J. Kogut. 'The renormalization group and the ǫ -expansion'. Physics Reports 12 (1974), 75. -
  4. [4][4] L. Kadanoff. 'Scaling laws for Ising models near T ( c )'. Physics 2 (1966), 263. -
  5. [5][5] C. Wetterich. 'The average action for scalar fields near phase transitions'. Zeitschrift für Physik C Particles and Fields 57 (1993), 451. -
  6. [6][6] J. M. Kosterlitz, D. J. Thouless. 'Ordering, metastability and phase transitions in twodimensional systems'. Journal of Physics C: Solid State Physics 6 (1973), 1181. -
  7. [7][7] J. Kosterlitz. 'The critical properties of the twodimensional xy model'. Journal of Physics C: Solid State Physics 7 (1974), 1046. -
  8. [8][8] N. Tetradis, C. Wetterich. 'The high temperature phase transition for ϕ 4 -theories'. Nuclear Physics B 398 (1993), 659. -
  9. [9][9] N. Tetradis, C. Wetterich. 'Critical exponents from the effective average action'. Nuclear Physics B 422 (1994), 541. -
  10. [10][10] A. Ringwald, C. Wetterich. 'Average action for the N -component φ 4 -theory'. Nuclear Physics B 334 (1990), 506. -
  11. [11][11] N. Tetradis, C. Wetterich. 'Scale dependence of the average potential around the maximum in ϕ 4 -theories'. Nuclear Physics B 383 (1992), 197. -
  12. [12][12] F. Wegner. 'Phase transitions and critical phenomena'. by Domb C. and Green MS Academic Press, New York (1976). -
  13. [13][13] J. Polchinski. 'Renormalization and effective Lagrangians'. Nuclear Physics B 231 (1984), 269. -
  14. [14][14] U. Ellwanger. 'Flow equations and BRS invariance for Yang-Mills theories'. Physics Letters B 335 (1994), 364.

Cited by

Sorted by citations

Authors
Wetterich, C.
Affiliations
Heidelberg University (DE)
Corresponding author
Wetterich, Christof
ORCID
Wetterich, Christof
Venue
Physics Letters B
Publisher
Elsevier BV
Published
1993-02
Volume
301
Issue
1
Pages
90-94
ISSN
0370-2693 (ISSN-L)
DOI
10.1016/0370-2693(93)90726-x
OpenAlex
W2019616244
Cited by
2,272
References
0
Citations by year
2026: 83 · 2025: 123 · 2024: 111 · 2023: 116 · 2022: 140 · 2021: 141 · 2020: 141 · 2019: 124 · 2018: 123 · 2017: 112 · 2016: 119 · 2015: 95 · 2014: 80 · 2013: 90 · 2012: 87
FWCI
12.71
Type
journal article
Language
en
Open access
Licence
www.elsevier.com/tdm/userlicense/1.0/ (tdm)
Locations
  • Physics Letters B (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Quantum Chromodynamics and Particle Interactions
Keywords
effective potential, effective action, scale dependence, infrared problem, massless modes, high-temperature phase transitions, critical exponents, renormalization group

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