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Solution of exact (local) renormalization-group equation

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Abstract

The exact renormalized-group equation for a local free energy functional is investigated for arbitrary dimensiond of space in the interval 2≤d≤4. There is found to be a unique physical branch of the solutiond=3 for a stable fixed point, and the properties of this solution are investigated. Ford<3 there are found to be additional branches of the solution corresponding to multicritical behavior described by (ϕ 2)k theories of different ordersk.

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Authors
  1. A. É. Filippov
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Additional information

Physicotechnical Institute, Ukrainian Academy of Sciences, Donetsk. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 91, No. 2, pp. 320–333, May, 1992.

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Filippov, A.É. Solution of exact (local) renormalization-group equation. Theor Math Phys 91, 551–560 (1992). https://doi.org/10.1007/BF01018853

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  • DOI: https://doi.org/10.1007/BF01018853

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