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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| Date: | 2009 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут фізики конденсованих систем НАН України
2009
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| Series: | Condensed Matter Physics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/120022 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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. |
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