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, 2026). 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.

Since the creation of article “Beta function (physics)”, its content was written by 42 registered users of English Wikipedia and edited by 102 registered Wikipedia users in all languages.

The article is cited 35 times in English Wikipedia and cited 77 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #33288 in October 2004
  • Global: #78822 in October 2004

The highest popularity rank from 2008:

  • Local (English): #456666 in October 2025
  • Global: #616760 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, 2026 (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)
36.9797
2Chinese (zh)
Β函數 (物理學)
22.7412
3Portuguese (pt)
Função beta (física)
18.4496
4Arabic (ar)
وظيفة بيتا (فيزياء)
14.3522
5Japanese (ja)
ベータ関数 (物理学)
13.4027
6German (de)
Betafunktion (Physik)
13.2942
7Russian (ru)
Бета-функция (физика)
8.0581
8Indonesian (id)
Fungsi Beta (fisika)
7.6342
9Italian (it)
Funzione beta (teoria quantistica dei campi)
3.0566
10Spanish (es)
Función beta (física)
0.2567
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)
222 388
2Spanish (es)
Función beta (física)
43 584
3Japanese (ja)
ベータ関数 (物理学)
25 354
4Italian (it)
Funzione beta (teoria quantistica dei campi)
8 020
5Indonesian (id)
Fungsi Beta (fisika)
7 524
6Chinese (zh)
Β函數 (物理學)
6 506
7German (de)
Betafunktion (Physik)
3 369
8Russian (ru)
Бета-функция (физика)
2 501
9Arabic (ar)
وظيفة بيتا (فيزياء)
1 756
10Portuguese (pt)
Função beta (física)
257
More...

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

Most popular in June 2026

The most popular language versions of the article "Beta function (physics)" in June 2026
#LanguagePopularity awardRelative popularity
1English (en)
Beta function (physics)
951
2Japanese (ja)
ベータ関数 (物理学)
86
3Chinese (zh)
Β函數 (物理學)
70
4Russian (ru)
Бета-функция (физика)
29
5German (de)
Betafunktion (Physik)
24
6Spanish (es)
Función beta (física)
23
7Italian (it)
Funzione beta (teoria quantistica dei campi)
22
8Indonesian (id)
Fungsi Beta (fisika)
8
9Portuguese (pt)
Função beta (física)
1
10Arabic (ar)
وظيفة بيتا (فيزياء)
0
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
7Indonesian (id)
Fungsi Beta (fisika)
4
8Russian (ru)
Бета-функция (физика)
4
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 2026

Language versions of the article "Beta function (physics)" with the highest AI in June 2026
#LanguageAI awardRelative AI
1Arabic (ar)
وظيفة بيتا (فيزياء)
0
2German (de)
Betafunktion (Physik)
0
3English (en)
Beta function (physics)
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)
35
2Japanese (ja)
ベータ関数 (物理学)
9
3Chinese (zh)
Β函數 (物理學)
8
4Italian (it)
Funzione beta (teoria quantistica dei campi)
7
5Russian (ru)
Бета-функция (физика)
6
6German (de)
Betafunktion (Physik)
5
7Spanish (es)
Función beta (física)
5
8Arabic (ar)
وظيفة بيتا (فيزياء)
1
9Portuguese (pt)
Função beta (física)
1
10Indonesian (id)
Fungsi Beta (fisika)
0
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2026:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2026:
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:
#456666
10.2025
Global:
#616760
10.2012

AI rank trends

Best Rank English:
#33288
10.2004
Global:
#78822
10.2004

Languages comparison

Important global interconnections (July 2025 – June 2026)

Wikipedia readers most often find their way to information on Beta function from Wikipedia articles about Renormalization group, Beta function, Coupling constant, Renormalization group equation 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, Quantum chromodynamics and Banks–Zaks fixed point.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 1 July 2026

On 1 July 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2026 FIFA World Cup, Kylian Mbappé, Erling Haaland, Democratic Republic of the Congo, FIFA World Cup, Harry Kane, Romelu Lukaku, Senegal, Michael Olise, Sadio Mané.

In English Wikipedia the most popular articles on that day were: 2026 FIFA World Cup, Harry Kane, Julián Quiñones, List of FIFA World Cup top goalscorers, Kylian Mbappé, Democratic Republic of the Congo, Erling Haaland, DR Congo national football team, Melat Kiros, FIFA World Cup.

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 50 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2026. When calculating current popularity and AI of articles data from June 2026 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2026... More information