Grassmann techniques applied to classical spin systems
We review problems involving the use of Grassmann techniques in the field of classical spin systems in two dimensions. These techniques are useful to perform exact correspondences between classical spin Hamiltonians and field-theory fermionic actions. This contributes to a better understanding of...
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| Datum: | 2009 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут фізики конденсованих систем НАН України
2009
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| Schriftenreihe: | Condensed Matter Physics |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/120022 |
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| Zitieren: | Grassmann techniques applied to classical spin systems / M. Clusel, J.-Y. Fortin // Condensed Matter Physics. — 2009. — Т. 12, № 3. — С. 463-478. — Бібліогр.: 29 назв. — англ. |
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irk-123456789-1200222017-06-11T03:04:15Z Grassmann techniques applied to classical spin systems Clusel, M. Fortin, J.-Y. We review problems involving the use of Grassmann techniques in the field of classical spin systems in two dimensions. These techniques are useful to perform exact correspondences between classical spin Hamiltonians and field-theory fermionic actions. This contributes to a better understanding of critical behavior of these models in term of non-quadratic effective actions which can be seen as an extension of the free fermion Ising model. Within this method, identification of bare masses allows for an accurate estimation of critical points or lines and which is supported by Monte-Carlo results and diagrammatic techniques. Ми оглядаємо задачi, у яких використовуються грасмановi технiки для класичних спiнових систем у двох вимiрах. Цi технiки є корисними для встановлення точної вiдповiдностi мiж класичними спiновими гамiльтонiанами i теоретико-польовими фермiонними дiями. Це дає змогу краще зрозумiти критичну поведiнку цих моделей у термiнах неквадратичних ефективних дiй, на якi можна дивитися, як на розширення вiльнофермiонної моделi Iзинга. У межах цього методу iдентифiкацiя затравочної маси дозволяє виконати точну оцiнку критичних точок чи лiнiй, що пiдтверджується результатами Монте Карло чи дiаграмних технiк. 2009 Article Grassmann techniques applied to classical spin systems / M. Clusel, J.-Y. Fortin // Condensed Matter Physics. — 2009. — Т. 12, № 3. — С. 463-478. — Бібліогр.: 29 назв. — англ. 1607-324X PACS: 02.30.Ik, 05.50.+q, 05.70.Fh DOI:10.5488/CMP.12.3.463 http://dspace.nbuv.gov.ua/handle/123456789/120022 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We review problems involving the use of Grassmann techniques in the field of classical spin systems in two
dimensions. These techniques are useful to perform exact correspondences between classical spin Hamiltonians
and field-theory fermionic actions. This contributes to a better understanding of critical behavior of these
models in term of non-quadratic effective actions which can be seen as an extension of the free fermion Ising
model. Within this method, identification of bare masses allows for an accurate estimation of critical points or
lines and which is supported by Monte-Carlo results and diagrammatic techniques. |
| format |
Article |
| author |
Clusel, M. Fortin, J.-Y. |
| spellingShingle |
Clusel, M. Fortin, J.-Y. Grassmann techniques applied to classical spin systems Condensed Matter Physics |
| author_facet |
Clusel, M. Fortin, J.-Y. |
| author_sort |
Clusel, M. |
| title |
Grassmann techniques applied to classical spin systems |
| title_short |
Grassmann techniques applied to classical spin systems |
| title_full |
Grassmann techniques applied to classical spin systems |
| title_fullStr |
Grassmann techniques applied to classical spin systems |
| title_full_unstemmed |
Grassmann techniques applied to classical spin systems |
| title_sort |
grassmann techniques applied to classical spin systems |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/120022 |
| citation_txt |
Grassmann techniques applied to classical spin systems / M. Clusel, J.-Y. Fortin // Condensed Matter Physics. — 2009. — Т. 12, № 3. — С. 463-478. — Бібліогр.: 29 назв. — англ. |
| series |
Condensed Matter Physics |
| work_keys_str_mv |
AT cluselm grassmanntechniquesappliedtoclassicalspinsystems AT fortinjy grassmanntechniquesappliedtoclassicalspinsystems |
| first_indexed |
2025-07-08T17:06:24Z |
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2025-07-08T17:06:24Z |
| _version_ |
1837099263806406656 |