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Письма в Журнал экспериментальной и теоретической физики, 2003, том 78, выпуск 12, страницы 1271–1276
(Mi jetpl2692)
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Эта публикация цитируется в 15 научных статьях (всего в 15 статьях)
ГРАВИТАЦИЯ, АСТРОФИЗИКА
Universal temperature corrections to the free energy for the gravitational field
G. E. Volovikab, A. I. Zel'nikovcd a Low Temperature Laboratory, Helsinki University of Technology
b L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
c Theoretical Physics Institute, University of Alberta Edmonton
d P. N. Lebedev Physical Institute, Russian Academy of Sciences, Moscow
Аннотация:
The temperature correction to the free energy of the gravitational field is considered which does not depend on the Planck energy physics. The leading correction may be interpreted in terms of the temperature dependent effective gravitational constant $G_{\mathrm{eff}}$. The temperature correction to $G_{\mathrm{eff}}^{-1}$ appears to be valid for all temperatures $T\ll E_{\mathrm{Planck}}$. It is universal since it is determined only by the number of fermionic and bosonic fields with masses $m\ll T$, does not contain the Planck energy scale $E_{\mathrm{Planck}}$ which determines the gravitational constant at $T=0$, and does not depend on whether or not the gravitational field obeys the Einstein equations. That is why this universal modification of the free energy for gravitational field can be used to study thermodynamics of quantum systems in condensed matter (such as quantum liquids superfluid $^3$He and $^4$He), where the effective gravity emerging for fermionic and/or bosonic quasiparticles in the low-energy corner is quite different from the Einstein gravity.
Поступила в редакцию: 15.09.2003 Исправленный вариант: 10.11.2003
Образец цитирования:
G. E. Volovik, A. I. Zel'nikov, “Universal temperature corrections to the free energy for the gravitational field”, Письма в ЖЭТФ, 78:12 (2003), 1271–1276; JETP Letters, 78:12 (2003), 751–756
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/jetpl2692 https://www.mathnet.ru/rus/jetpl/v78/i12/p1271
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Страница аннотации: | 175 | PDF полного текста: | 51 | Список литературы: | 66 |
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