Distribution of Zeros in Ising and Gauge Models

Itzykson, C.; Pearson, R.B.; Zuber, J.B.

doi:10.1016/0550-3213(83)90499-6

Distribution of Zeros in Ising and Gauge Models

C. Itzykson
(
- Saclay, SPhT
)
,
R.B. Pearson
(
- Santa Barbara, KITP
)
,
J.B. Zuber
(
- Saclay, SPhT
)

Mar, 1983

19 pages

Published in:

Nucl.Phys.B 220 (1983) 415-433

Published: 1983

DOI:

10.1016/0550-3213(83)90499-6

Report number:

SACLAY-SPHT-83-40

View in:

AMS MathSciNet

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Abstract: (Elsevier)

We discuss some features of Ising and gauge systems in the complex temperature plane. The distribution of zeros of the partition function enables one to study critical properties in a way complementary to the methods using real values. Data on small lattices confirm this picture. Nearby complex singularities seem to exhibit a universal behavior which might have some relation with a model of random surfaces.

GAUGE FIELD THEORY: TEMPERATURE
LATTICE FIELD THEORY: CRITICAL PHENOMENA
STATISTICAL MECHANICS: ISING
ANALYTIC PROPERTIES
SCALING
RENORMALIZATION GROUP

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