A Unified Approach to Phase Diagrams in Field Theory and Statistical Mechanics
Oct, 198838 pages
Published in:
- Commun.Math.Phys. 123 (1989) 305
DOI:
Report number:
- HUTMP-88-B227
Citations per year
Abstract: (Springer)
We construct the phase diagram of any system which admits a low-temperature polymer or cluster expansion. Such an expansion turns the system into a hard-core interacting contour model with small, but not necessarily positive, activities. The method uses some of Zahradnik's ideas [Z1], but applies equally well to systems with complex interactions. We give two applications. First, to low-temperatureP(φ)2 models with complex couplings; and second, to a computation of asymptotics of partition functions in periodic volumes. If the index of a supersymmetric field theory is known, the second application would help determine the number of phases in infinite volume.- STATISTICAL MECHANICS: CRITICAL PHENOMENA
- LATTICE FIELD THEORY: CRITICAL PHENOMENA
- EXPANSION: CLUSTER
- EXPANSION: POLYMER
- field theory: scalar
- FIELD THEORY: TWO-DIMENSIONAL
- FIELD THEORY: PARTITION FUNCTION
- SUPERSYMMETRY: WITTEN INDEX
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