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Variational resummation for ϵ-expansions of critical exponents of nonlinear O(n)-symmetric σ-model in 2+ϵ dimensions

✍ Scribed by Hagen Kleinert


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
163 KB
Volume
264
Category
Article
ISSN
0375-9601

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✦ Synopsis


We develop a method for extracting accurate critical exponents from perturbation expansions of the O n -symmetric nonlinear s-model in D s 2 q e dimensions. This is possible by considering the e-expansions in this model as strong-cou-Ž . Ž . pling expansions of functions of the variable ´' 2 4y D r D y 2 , whose first five weak-coupling expansion coefficients ˜Ž . 4 of powers of ´are known from ´-expansions of critical exponents in O n -symmetric f -theory in D s 4 y ´dimensions.