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The Yang-Lee Edge Singularity and Related Problems

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arxiv 2305.13288 v1 pith:LN3LHWKZ submitted 2023-05-22 cond-mat.stat-mech hep-th

classification cond-mat.stat-mechhep-th
keywords edgeexampleideasproblemsseveralsingularityyang-leeaims
verification ladder T0 review T1 audit T2 compute T3 formal
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The Yang-Lee edge singularity is a prototypical example of the application of renormalization group ideas to critical behavior, and one to which Michael Fisher made several important contributions. Moreover it has connections to several other problems such as the statistics of branched polymers, and its scaling limit in two dimensions provides a simple example of integrable field theory. This article aims to give a pedagogical introduction to these matters, with a few new ideas thrown in.

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    hep-th 2026-01 conditional novelty 6.0 of 10

    In the local potential approximation, the Lee-Yang fixed point of iφ^3 theory is followed to d=2 with few-percent-accurate scaling dimensions, while multicritical iφ^{2n+1} fixed points annihilate with new non-perturb...

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