Beta function (physics)

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Beta function (physics)

Quality:

Beta function - function that encodes the dependence of a coupling parameter on the energy scale. Article “Beta function (physics)” in English Wikipedia has 37 points for quality (as of July 1, 2025). The article contains 16 references and 11 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that (English) language version.

In June 2025 the article “Beta function (physics)” was edited by 2 authors in English Wikipedia and written by 2 authors in all languages.

Since the creation of article “Beta function (physics)”, its content was written by 42 registered users of English Wikipedia and edited by 101 registered Wikipedia users in all languages.

The article is cited 34 times in English Wikipedia and cited 79 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #33297 in October 2004
  • Global: #78780 in October 2004

The highest popularity rank from 2008:

  • Local (English): #436731 in April 2015
  • Global: #566888 in October 2012

There are 10 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Beta function (physics)
37.0462
2Chinese (zh)
Β函數 (物理學)
22.7627
3Portuguese (pt)
Função beta (física)
18.4999
4Arabic (ar)
وظيفة بيتا (فيزياء)
15.1544
5German (de)
Betafunktion (Physik)
13.5033
6Japanese (ja)
ベータ関数 (物理学)
13.4974
7Indonesian (id)
Fungsi Beta (fisika)
8.0572
8Russian (ru)
Бета-функция (физика)
8.0546
9Italian (it)
Funzione beta (teoria quantistica dei campi)
3.0301
10Spanish (es)
Función beta (física)
0.2664
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Beta function (physics)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Beta function (physics)
248 679
2Spanish (es)
Función beta (física)
43 155
3Japanese (ja)
ベータ関数 (物理学)
24 151
4Italian (it)
Funzione beta (teoria quantistica dei campi)
7 799
5Indonesian (id)
Fungsi Beta (fisika)
7 366
6Chinese (zh)
Β函數 (物理學)
5 747
7German (de)
Betafunktion (Physik)
2 994
8Russian (ru)
Бета-функция (физика)
2 032
9Arabic (ar)
وظيفة بيتا (فيزياء)
1 664
10Portuguese (pt)
Função beta (física)
226
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Beta function (physics)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Beta function (physics)
1 540
2Japanese (ja)
ベータ関数 (物理学)
113
3Chinese (zh)
Β函數 (物理學)
50
4German (de)
Betafunktion (Physik)
41
5Russian (ru)
Бета-функция (физика)
31
6Italian (it)
Funzione beta (teoria quantistica dei campi)
26
7Spanish (es)
Función beta (física)
18
8Arabic (ar)
وظيفة بيتا (فيزياء)
12
9Indonesian (id)
Fungsi Beta (fisika)
11
10Portuguese (pt)
Função beta (física)
11
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Beta function (physics)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Beta function (physics)
42
2Italian (it)
Funzione beta (teoria quantistica dei campi)
15
3German (de)
Betafunktion (Physik)
11
4Spanish (es)
Función beta (física)
10
5Chinese (zh)
Β函數 (物理學)
7
6Japanese (ja)
ベータ関数 (物理学)
6
7Russian (ru)
Бета-функция (физика)
4
8Indonesian (id)
Fungsi Beta (fisika)
3
9Arabic (ar)
وظيفة بيتا (فيزياء)
2
10Portuguese (pt)
Função beta (física)
1
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Beta function (physics)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Beta function (physics)
2
2Arabic (ar)
وظيفة بيتا (فيزياء)
0
3German (de)
Betafunktion (Physik)
0
4Spanish (es)
Función beta (física)
0
5Indonesian (id)
Fungsi Beta (fisika)
0
6Italian (it)
Funzione beta (teoria quantistica dei campi)
0
7Japanese (ja)
ベータ関数 (物理学)
0
8Portuguese (pt)
Função beta (física)
0
9Russian (ru)
Бета-функция (физика)
0
10Chinese (zh)
Β函數 (物理學)
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Beta function (physics)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Beta function (physics)
34
2Chinese (zh)
Β函數 (物理學)
9
3Spanish (es)
Función beta (física)
8
4Italian (it)
Funzione beta (teoria quantistica dei campi)
8
5Japanese (ja)
ベータ関数 (物理学)
8
6German (de)
Betafunktion (Physik)
5
7Russian (ru)
Бета-функция (физика)
4
8Arabic (ar)
وظيفة بيتا (فيزياء)
1
9Indonesian (id)
Fungsi Beta (fisika)
1
10Portuguese (pt)
Função beta (física)
1
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
وظيفة بيتا (فيزياء)
deGerman
Betafunktion (Physik)
enEnglish
Beta function (physics)
esSpanish
Función beta (física)
idIndonesian
Fungsi Beta (fisika)
itItalian
Funzione beta (teoria quantistica dei campi)
jaJapanese
ベータ関数 (物理学)
ptPortuguese
Função beta (física)
ruRussian
Бета-функция (физика)
zhChinese
Β函數 (物理學)

Popularity rank trends

Best Rank English:
#436731
04.2015
Global:
#566888
10.2012

AI rank trends

Best Rank English:
#33297
10.2004
Global:
#78780
10.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Beta function from Wikipedia articles about Renormalization group equation, Beta function, Renormalization group, Coupling constant and Callan–Symanzik equation. Whereas reading the article about Beta function people most often go to Wikipedia articles on Renormalization group, Callan–Symanzik equation, Coupling constant, Banks–Zaks fixed point and Quantum electrodynamics.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

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About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information