Temperature Dependence of Electric and Magnetic Gluon Condensates

Abstract

The contribution of Lorentz non-scalar operators to finite temperature correlation functions is discussed. Using the local duality approach for the one-pion matrix element of a product of two vector currents, the temperature dependence of the average gluonic stress tensor is estimated in the chiral limit to be $⟨{\mathbf{E}}^2+{\mathbf{B}}^2{⟩}_T=\frac{{\pi }^2}{10}b{T}^4$. At a normalization point $\mu =0.5$ GeV we obtain $b\approx 1.1$. Together with the known temperature dependence of the Lorentz scalar gluon condensate we are able to infer $⟨{\mathbf{E}}^2{⟩}_T$ and $⟨{\mathbf{B}}^2{⟩}_T$ separately in the low-temperature hadronic phase.

Comments: 11 pages, TPI-MINN-92/37-T