Pion Decay Constant at Finite Temperature in the Nonlinear Sigma Model

Abstract

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 Padé approximant to obtain the behavior of $f_{\pi }(T)$ at all temperatures.

8 pages, one latex file and one postscript file (uses psfig). Uuencoded

References in corpus (3)

• Chiral symmetry at finite temperature: linear vs nonlinear $\sigma$-models
• Hadron Properties just before Deconfinement
• The Goldberger -- Treiman Relation, $g_A$ and $g_{\pi NN}$ at $T\ne 0$

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