The Instanton Density at Finite Temperatures

Abstract

For {\it low} T new strict results for the instanton density n(T) are reported. Using the PCAC methods, we express n(T) in terms of {\it vacuum} average values of certain operators, times their {\it calculated} T-dependence. At high T, we discuss the {\it applicability} limits of the perturbative results. We further speculate about possible behaviour of n(T) at $T\sim T_c$.

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• Mesonic Correlation Functions in the Random Instanton Vacuum
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• The Chiral Phase Transition and Instanton Anti-instanton Molecules
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• Effective Restoration of the U_A(1) symmetry in the SU(3) linear sigma model
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• How to observe the QCD instanton/sphaleron processes at hadron colliders?