Pions at Finite Temperature from QCD Sum Rules

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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Latex file plus 3 figures available upon request. To be published in Phys. Lett. B

Scientific paper

10.1016/0370-2693(96)01021-0

The temperature corrections to the current algebra Gell-Mann, Oakes, and Renner (GMOR) relation in $SU(2)\otimes SU(2)$ are investigated in the framework of QCD sum rules. There are no corrections at leading order in the quark masses. At the next to leading order we find corrections of the form $m_{q}^2\; T^{2}$, which are small except near the critical temperature. As a by-product we obtain the temperature behaviour of the pion mass, which is essentially constant, except near the critical temperature where it increases with $T$.

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