50 years of Yukhnovskii's critical point theory: its place in the constant flow of theoretical physics.
Saved in:
| Title: | 50 years of Yukhnovskii's critical point theory: its place in the constant flow of theoretical physics. |
|---|---|
| Alternate Title: | 50 рокiв теорiї Юхновського про критичну точку: її мiсце у постiйнiй течiї теоретичної фiзики |
| Authors: | Kozitsky, Yu.1 |
| Source: | Condensed Matter Physics. 2025, Vol. 28 Issue 4, p1-11. 11p. |
| Subjects: | Ising model, Statistical physics, Quantum field theory, Phase transitions, Mathematical variables, Mathematical physics, Physicists |
| Abstract: | Half a century ago, Ihor Yukhnovskii elaborated a method of studying the critical point of the three-dimensional Ising model based on a layer-by-layer integration in the space of collective variables. His method was an alternative to that based on the 𝜀-expansion for which K. G. Wilson was awarded the Nobel Prize in Physics in 1982. However, Yukhnovskii's technique, which yielded similar results, provided even deeper insight into the nature of this phenomenon. At that time, we, professor's students, saw only this aspect of his theory. Later, I realized that the mentioned Yukhnovskii's work naturally fits into a more general context of the turbulent development of quantum field theory and statistical physics in the last quarter of the twentieth century. The aim of the present article is to look at the main aspects and the impact of Yukhnovskii's theory from this perspective. [ABSTRACT FROM AUTHOR] |
| Copyright of Condensed Matter Physics is the property of National Academy of Sciences of Ukraine, the Institute for Condensed Matter Physics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 191552714 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: 50 years of Yukhnovskii's critical point theory: its place in the constant flow of theoretical physics. – Name: TitleAlt Label: Alternate Title Group: TiAlt Data: 50 рокiв теорiї Юхновського про критичну точку: її мiсце у постiйнiй течiї теоретичної фiзики – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Kozitsky%2C+Yu%2E%22">Kozitsky, Yu.</searchLink><relatesTo>1</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Condensed+Matter+Physics%22">Condensed Matter Physics</searchLink>. 2025, Vol. 28 Issue 4, p1-11. 11p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Ising+model%22">Ising model</searchLink><br /><searchLink fieldCode="DE" term="%22Statistical+physics%22">Statistical physics</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+field+theory%22">Quantum field theory</searchLink><br /><searchLink fieldCode="DE" term="%22Phase+transitions%22">Phase transitions</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+variables%22">Mathematical variables</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+physics%22">Mathematical physics</searchLink><br /><searchLink fieldCode="DE" term="%22Physicists%22">Physicists</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Half a century ago, Ihor Yukhnovskii elaborated a method of studying the critical point of the three-dimensional Ising model based on a layer-by-layer integration in the space of collective variables. His method was an alternative to that based on the 𝜀-expansion for which K. G. Wilson was awarded the Nobel Prize in Physics in 1982. However, Yukhnovskii's technique, which yielded similar results, provided even deeper insight into the nature of this phenomenon. At that time, we, professor's students, saw only this aspect of his theory. Later, I realized that the mentioned Yukhnovskii's work naturally fits into a more general context of the turbulent development of quantum field theory and statistical physics in the last quarter of the twentieth century. The aim of the present article is to look at the main aspects and the impact of Yukhnovskii's theory from this perspective. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Condensed Matter Physics is the property of National Academy of Sciences of Ukraine, the Institute for Condensed Matter Physics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=191552714 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.5488/CMP.28.43501 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 11 StartPage: 1 Subjects: – SubjectFull: Ising model Type: general – SubjectFull: Statistical physics Type: general – SubjectFull: Quantum field theory Type: general – SubjectFull: Phase transitions Type: general – SubjectFull: Mathematical variables Type: general – SubjectFull: Mathematical physics Type: general – SubjectFull: Physicists Type: general Titles: – TitleFull: 50 years of Yukhnovskii's critical point theory: its place in the constant flow of theoretical physics. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Kozitsky, Yu. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 10 Text: 2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 1607324X Numbering: – Type: volume Value: 28 – Type: issue Value: 4 Titles: – TitleFull: Condensed Matter Physics Type: main |
| ResultId | 1 |
