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On the ferromagnetic Ising model in noninteger spatial dimension (1982)

Baker, George A. ; Benofy, L. P.

Springer

Journal of statistical physics 29 (1982), S. 699-716

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ISSN: 1572-9613

Keywords: Ising model ; Yang-Lee theorem ; dimensional analytic continuation ; series expansions methods

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract Using the necessary and sufficient conditions in terms of the high-field series coefficients that the Yang-Lee theorem holds, we prove rigorously by counterexample that it cannot be extended to general noninteger dimension, when such models are defined by the “natural” analytic continuation.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01011786

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