Fluctuations of Goldstone modes and the chiral transition in QCD

We provide evidence for the influence of thermal fluctuations of Goldstone modes on the chiral condensate at finite temperature. We show that at fixed temperature, T < T c , in the vicinity of the chiral transition temperature this leads to a characteristic dependence of the chiral condensate on the square root of the light quark mass ( m l ), which is expected for 3-dimensional models with broken O(N) symmetry. As a consequence the chiral susceptibility shows a strong quark mass dependence for all temperatures below T < T c and diverges like 1 / m l in the chiral limit.

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4 pages,presented in Strong and ElectroWeak Matter, August 2008, Amsterdam, The Netherlands

12.38.Gc
11.15.Ha
11.10.Wx
12.38.Mh
QCD thermodynamics
chiral symmetry breaking
Goldstone modes
condensation: chiral
susceptibility: chiral
temperature: transition

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