Branched Polymers and Dimensional Reduction
classification
🧮 math-ph
cond-mat.stat-mechmath.MP
keywords
dimensionsbranchedpolymerscontinuumactivityconjecturesconnectioncorollaries
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We establish an exact relation between self-avoiding branched polymers in D+2 continuum dimensions and the hard-core continuum gas at negative activity in D dimensions. We review conjectures and results on critical exponents for D+2 = 2,3,4 and show that they are corollaries of our result. We explain the connection (first proposed by Parisi and Sourlas) between branched polymers in D+2 dimensions and the Yang-Lee edge singularity in D dimensions.
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Boundary anomalous dimensions from BCFT: $\phi^{3}$ theories with a boundary and higher-derivative generalizations
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