The strong-weak coupling symmetry in 2D Φ⁴ field models
It is found that the exact beta-function β(g) of the continuous 2D gΦ⁴ model possesses two types of dual symmetries, these being the KramersWannier (KW) duality symmetry and the strong-weak (SW) coupling symmetry f(g), or S-duality. All these transformations are explicitly constructed. The S-dua...
Збережено в:
| Дата: | 2005 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2005
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/119486 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | The strong-weak coupling symmetry in 2D Φ⁴ field models / B.N. Shalaev // Condensed Matter Physics. — 2005. — Т. 8, № 1(41). — С. 113–122. — Бібліогр.: 17 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | It is found that the exact beta-function β(g) of the continuous 2D gΦ⁴
model possesses two types of dual symmetries, these being the KramersWannier
(KW) duality symmetry and the strong-weak (SW) coupling symmetry
f(g), or S-duality. All these transformations are explicitly constructed.
The S-duality transformation f(g) is shown to connect domains of
weak and strong couplings, i.e. above and below g*. Basically it means
that there is a tempting possibility to compute multiloop Feynman diagrams
for the β-function using high-temperature lattice expansions. The regular
scheme developed is found to be strongly unstable.
Approximate values of the renormalized coupling constant g* found from
duality symmetry equations are in an agreement with available numerical
results. |
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