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Teoreticheskaya i Matematicheskaya Fizika, 1992, Volume 91, Number 2, Pages 320–333
(Mi tmf5580)
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This article is cited in 5 scientific papers (total in 5 papers)
Solution of exact (local) renormalization-group equation
A. E. Filippov Donetsk Physical-Technical Institute of Ukraine Academy of Sciences
Abstract:
The exact renormalized-group equation for a local free energy functional is investigated for arbitrary dimension $d$ of space in the
interval $2\leqslant d\leqslant4$. There is found to be a unique physical branch of the solution $d=3$ for a stable fixed point, and the properties of this solution are investigated. For $d<3$ there are found to be additional branches of the solution corresponding to multicritical behavior described by $(\varphi^2)^k$ theories of different orders $k$.
Received: 13.05.1991
Citation:
A. E. Filippov, “Solution of exact (local) renormalization-group equation”, TMF, 91:2 (1992), 320–333; Theoret. and Math. Phys., 91:2 (1992), 551–560
Linking options:
https://www.mathnet.ru/eng/tmf5580 https://www.mathnet.ru/eng/tmf/v91/i2/p320
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Abstract page: | 254 | Full-text PDF : | 106 | References: | 56 | First page: | 1 |
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