Branched Polymers and Dimensional Reduction

نویسنده

David C. Brydges

چکیده

We establish an exact isomorphism between self-avoiding branched polymers in D + 2 continuum dimensions and the hard-core continuum gas at negative activity. 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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