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From cool pions to the chiral phase transition

Marcello B. Silva Neto
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Abstract

Using the ideas of effective field theory and dimensional reduction, we relate the parameters of two low energy models of QCD: the O(N) nonlinear sigma model in D=3+1, which describes the dynamics of cool pions, and the O(N) Heisenberg magnet in D=3+0, which is commonly argued to reproduce the correct critical behaviour of the chiral phase transition. As a result, we obtain a generalized expression for the finite temperature pion decay constant which reproduces, in certain limits, the available expressions in the literature.

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Marcello B. Silva Neto. 2000-03-12. From cool pions to the chiral phase transition. https://arxiv.org/abs/hep-th/0003088

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