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Critical exponents in the CP^{N-1} model, which describes localized-momentferro- and antiferromagnets (N=2 in the Heisenberg model), are calculated fromtwo-particle Green's functions to first order in 1/N. For d=2+\epsilon theresults agree with earlier renormalization group calculations. For d=3 theleading 1/N-corrections turn out to be very large at N=2. For d=4-\epsilon the1/N-corrections are small at any N and insufficient to describe correctly themagnetic phase transition.Comment: 6 pages, LaTeX, 2 figure

physical review. b, condensed matter

1/<i>N</i>expansion for critical exponents of magnetic phase transitions in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="italic">CP</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">N</mml:mi><mml:mi mathvariant="normal">−</mml:mi><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>model for 2&lt;<i>d</i>&lt;4

1/Nexpansion for critical exponents of magnetic phase transitions in theCPN−1model for 2<d<4