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New universality classes in one-dimensional O(N)-invariant spin-models with an n-parametric action (1997)

Seiler, Erhard ; Yildirim, Karim

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 38 (1997), S. 4872-4881

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: An action with n parameters, which generalizes the O(N)−RPN−1 model, is considered in one dimension for general N. We use asymptotic expansion techniques to determine where the model becomes critical and show that for the actions considered there exists a family of hypersurfaces whose asymptotic behavior determines a one-parameter family of new universality classes. They interpolate between the O(N) vector model class and the RPN−1 model class. Furthermore continuum limits are discussed, including the exceptional case N=2. © 1997 American Institute of Physics.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.532131

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