Pion Decay Constant at Finite Temperature in the Nonlinear Sigma Model
classification
✦ hep-ph
keywords
temperaturebehaviorconstantdecaymodelnonlinearpionsigma
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We calculate the pion decay constant near the critical temperature of the $O(N)$ nonlinear sigma model in the large $N$ limit. Making use of the known low temperature behavior, we construct a Pad\'{e} approximant to obtain the behavior of $f_\pi(T)$ at all temperatures.
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