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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1989 Volume 80, Number 2, Pages 212–225 (Mi tmf5131)

This article is cited 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


 English version:
Theoretical and Mathematical Physics, 1989, 80:2, 819–828

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