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Teoreticheskaya i Matematicheskaya Fizika, 1984, Volume 60, Number 1, Pages 59–71
(Mi tmf5115)
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This article is cited in 37 scientific papers (total in 37 papers)
Critical dynamics as a field theory
N. V. Antonov, A. N. Vasil'ev Leningrad State University
Abstract:
Critical dynamics [1-3] is considered systematically from the point of view of quantum
field theory. The connection between dynamics and statics and its consequences for the
renormalization constants is discussed in detail. The main technical result is the
3 calculation of the $\varepsilon^3$ contribution in the $4-2\varepsilon$ expansion of the dynamical exponent $\Delta_\omega$ (critical dimension of frequency) for the $O_n$-symmetrie $\varphi^4$ model. Instead of the value $\Delta_\omega=2+0,726(1-2\varepsilon\cdot 1,687)\eta$ obtained previously [4], the value $\Delta_\omega=2+0,726(1-2\varepsilon\cdot 0,1885)\eta$ is obtained.
Received: 20.07.1983
Citation:
N. V. Antonov, A. N. Vasil'ev, “Critical dynamics as a field theory”, TMF, 60:1 (1984), 59–71; Theoret. and Math. Phys., 60:1 (1984), 671–679
Linking options:
https://www.mathnet.ru/eng/tmf5115 https://www.mathnet.ru/eng/tmf/v60/i1/p59
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Abstract page: | 810 | Full-text PDF : | 364 | References: | 79 | First page: | 3 |
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