Finite size effects at the Yang-Lee edge singularity and branched polymers in a plate geometry
✍ Scribed by H.K. Janssen; W. Koch
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 600 KB
- Volume
- 227
- Category
- Article
- ISSN
- 0378-4371
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✦ Synopsis
Finite size scaling effects are investigated for Ising-like systems in a hypercube L d near the Yang-Lee edge singularity. Besides exact results for d = 1, we present series in e j/3 for some universal quantities in dimensions d = 6 -e gained by field-theoretic techniques. Using the supersymmetric connection between the Yang-Lee theory in dimension d and the statistics of branched polymers in D = d + 2, we find the animal number in a periodic plate geometry with 2 infinite and d compactified dimensions. In particular, we exactly calculate the full cross-over between three-dimensional and two-dimensional animals.