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arXiv · 1204.3877

Scaling Solutions in Continuous Dimension

A. Codello
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Abstract

We study scaling solutions of the RG flow equation for the Z_2-effective potential in continuous dimension. As the dimension is lowered from d=4 we first observe the appearance of the Ising scaling solution and successively the apparence of multi-critical scaling solutions of arbitrary order. Approaching d=2 these multi-critical scaling solutions converge to the unitary minimal models found in CFT.

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A. Codello. 2012-10-23. Scaling Solutions in Continuous Dimension. https://doi.org/10.1088/1751-8113%2F45%2F46%2F465006

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