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Teoreticheskaya i Matematicheskaya Fizika, 1989, Volume 80, Number 2, Pages 212–225
(Mi tmf5131)
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This article is cited in 4 scientific papers (total in 4 papers)
Goldstone singularities in the $4-\varepsilon$ expansion of the $\Phi^4$ theory
M. Yu. Nalimov
Abstract:
A scheme of resummation of singularities related to the Goldstone singularities is suggested for the series of $4-\varepsilon$ expansions of the Green functions of the $n$-component $\Phi^4$ theory below the critical temperature. Using this scheme it is proved (in the arbitrary order of the $\varepsilon$ expansion) that the scaling functions in the neighbourhood of the critical point have the same asymptotics at small external field and momenta as those predicted by the “hydrodynamic approximation”.
Received: 10.02.1988
Citation:
M. Yu. Nalimov, “Goldstone singularities in the $4-\varepsilon$ expansion of the $\Phi^4$ theory”, TMF, 80:2 (1989), 212–225; Theoret. and Math. Phys., 80:2 (1989), 819–828
Linking options:
https://www.mathnet.ru/eng/tmf5131 https://www.mathnet.ru/eng/tmf/v80/i2/p212
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