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Effective analysis of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">O</mml:mi><mml:mn /><mml:mo>(</mml:mo><mml:mi>N</mml:mi><mml:mo>)</mml:mo><mml:mn /></mml:math>antiferromagnet: Low-temperature expansion of the order parameter
We investigate the low-energy properties of Lorentz-invariant theories with a spontaneously broken rotation symmetry $\mathrm{O}(N)\ensuremath{\rightarrow}\mathrm{O}(N\ensuremath{-}1)$. The leading coefficients of the low-temperature expansion for the partition function are calculated up to and including three loops. Emphasis is put into the special case $N=3$: it describes the antiferromagnet which has been extensively …